Journal Description
Axioms
Axioms
is an international, peer-reviewed, open access journal of mathematics, mathematical logic and mathematical physics, published monthly online by MDPI. The European Society for Fuzzy Logic and Technology (EUSFLAT), International Fuzzy Systems Association (IFSA) and Union of Slovak Mathematicians and Physicists (JSMF) are affiliated with Axioms and their members receive discounts on the article processing charges.
- Open Access— free for readers, with article processing charges (APC) paid by authors or their institutions.
- High visibility: indexed within SCIE (Web of Science), dblp, and other databases.
- Journal Rank: JCR - Q2 (Mathematics, Applied)
- Rapid Publication: manuscripts are peer-reviewed and a first decision is provided to authors approximately 21.8 days after submission; acceptance to publication is undertaken in 2.8 days (median values for papers published in this journal in the second half of 2023).
- Recognition of Reviewers: reviewers who provide timely, thorough peer-review reports receive vouchers entitling them to a discount on the APC of their next publication in any MDPI journal, in appreciation of the work done.
- Companion journal: Logics.
Impact Factor:
2.0 (2022);
5-Year Impact Factor:
1.9 (2022)
Latest Articles
Strong Comonotonic Additive Systemic Risk Measures
Axioms 2024, 13(6), 347; https://doi.org/10.3390/axioms13060347 - 23 May 2024
Abstract
In this paper, we propose a new class of systemic risk measures, which we refer to as strong comonotonic additive systemic risk measures. First, we introduce the notion of strong comonotonic additive systemic risk measures by proposing new axioms. Second, we establish a
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In this paper, we propose a new class of systemic risk measures, which we refer to as strong comonotonic additive systemic risk measures. First, we introduce the notion of strong comonotonic additive systemic risk measures by proposing new axioms. Second, we establish a structural decomposition for strong comonotonic additive systemic risk measures. Third, when both the single-firm risk measure and the aggregation function in the structural decomposition are convex, we also provide a dual representation for it. Last, examples are given to illustrate the proposed systemic risk measures. Comparisons with existing systemic risk measures are also provided.
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(This article belongs to the Special Issue Advances in Financial Mathematics)
Open AccessArticle
Local Influence for the Thin-Plate Spline Generalized Linear Model
by
Germán Ibacache-Pulgar, Pablo Pacheco, Orietta Nicolis and Miguel Angel Uribe-Opazo
Axioms 2024, 13(6), 346; https://doi.org/10.3390/axioms13060346 - 23 May 2024
Abstract
Thin-Plate Spline Generalized Linear Models (TPS-GLMs) are an extension of Semiparametric Generalized Linear Models (SGLMs), because they allow a smoothing spline to be extended to two or more dimensions. This class of models allows modeling a set of data in which it is
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Thin-Plate Spline Generalized Linear Models (TPS-GLMs) are an extension of Semiparametric Generalized Linear Models (SGLMs), because they allow a smoothing spline to be extended to two or more dimensions. This class of models allows modeling a set of data in which it is desired to incorporate the non-linear joint effects of some covariates to explain the variability of a certain variable of interest. In the spatial context, these models are quite useful, since they allow the effects of locations to be included, both in trend and dispersion, using a smooth surface. In this work, we extend the local influence technique for the TPS-GLM model in order to evaluate the sensitivity of the maximum penalized likelihood estimators against small perturbations in the model and data. We fit our model through a joint iterative process based on Fisher Scoring and weighted backfitting algorithms. In addition, we obtained the normal curvature for the case-weight perturbation and response variable additive perturbation schemes, in order to detect influential observations on the model fit. Finally, two data sets from different areas (agronomy and environment) were used to illustrate the methodology proposed here.
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(This article belongs to the Special Issue Mathematical Models and Simulations II)
Open AccessArticle
Conditioning Theory for ML-Weighted Pseudoinverse and ML-Weighted Least Squares Problem
by
Mahvish Samar, Xinzhong Zhu and Huiying Xu
Axioms 2024, 13(6), 345; https://doi.org/10.3390/axioms13060345 - 22 May 2024
Abstract
The conditioning theory of the -weighted least squares and -weighted pseudoinverse problems is explored in this article. We begin by introducing three types of condition numbers for the -weighted pseudoinverse problem: normwise, mixed, and componentwise, along with their explicit expressions.
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The conditioning theory of the -weighted least squares and -weighted pseudoinverse problems is explored in this article. We begin by introducing three types of condition numbers for the -weighted pseudoinverse problem: normwise, mixed, and componentwise, along with their explicit expressions. Utilizing the derivative of the -weighted pseudoinverse problem, we then provide explicit condition number expressions for the solution of the -weighted least squares problem. To ensure reliable estimation of these condition numbers, we employ the small-sample statistical condition estimation method for all three algorithms. The article concludes with numerical examples that highlight the results obtained.
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Open AccessArticle
The Estimation of Different Kinds of Integral Inequalities for a Generalized Class of Convex Mapping and a Harmonic Set via Fuzzy Inclusion Relations and Their Applications in Quadrature Theory
by
Ali Althobaiti, Saad Althobaiti and Miguel Vivas Cortez
Axioms 2024, 13(6), 344; https://doi.org/10.3390/axioms13060344 - 22 May 2024
Abstract
The relationship between convexity and symmetry is widely recognized. In fuzzy theory, both concepts exhibit similar behavior. It is crucial to remember that real and interval-valued mappings are special instances of fuzzy-number-valued mappings (F-N-V-Ms), as fuzzy theory relies on the unit
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The relationship between convexity and symmetry is widely recognized. In fuzzy theory, both concepts exhibit similar behavior. It is crucial to remember that real and interval-valued mappings are special instances of fuzzy-number-valued mappings (F-N-V-Ms), as fuzzy theory relies on the unit interval, which is crucial to resolving problems with interval analysis and fuzzy number theory. In this paper, a new harmonic convexities class of fuzzy numbers has been introduced via up and down relation. We show several Hermite–Hadamard (H ⋅ H) and Fejér-type inequalities by the implementation of fuzzy Aumann integrals using the newly defined class of convexities. Some nontrivial examples are also presented to validate the main outcomes.
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(This article belongs to the Special Issue Analysis of Mathematical Inequalities)
Open AccessArticle
Explicit Numerical Manifold Characteristic Galerkin Method for Solving Burgers’ Equation
by
Yue Sun, Qian Chen, Tao Chen and Longquan Yong
Axioms 2024, 13(6), 343; https://doi.org/10.3390/axioms13060343 - 22 May 2024
Abstract
This paper presents a nonstandard numerical manifold method (NMM) for solving Burgers’ equation. Employing the characteristic Galerkin method, we initially apply the Crank–Nicolson method for temporal discretization along the characteristic. Subsequently, utilizing the Taylor expansion, we transform the semi-implicit formula into a fully
[...] Read more.
This paper presents a nonstandard numerical manifold method (NMM) for solving Burgers’ equation. Employing the characteristic Galerkin method, we initially apply the Crank–Nicolson method for temporal discretization along the characteristic. Subsequently, utilizing the Taylor expansion, we transform the semi-implicit formula into a fully explicit form. For spacial discretization, we construct the NMM dual-cover system tailored to Burgers’ equation. We choose constant cover functions and first-order weight functions to enhance computational efficiency and exactly import boundary constraints. Finally, the integrated computing scheme is derived by using the standard Galerkin method, along with a Thomas algorithm-based solution procedure. The proposed method is verified through six benchmark numerical examples under various initial boundary conditions. Extensive comparisons with analytical solutions and results from alternative methods are conducted, demonstrating the accuracy and stability of our approach, particularly in solving Burgers’ equation at high Reynolds numbers.
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(This article belongs to the Special Issue Mathematical Modelling of Fluid Dynamics)
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An Optimization Problem for Computing Predictive Potential of General Sum/Product-Connectivity Topological Indices of Physicochemical Properties of Benzenoid Hydrocarbons
by
Sakander Hayat, Azri Arfan, Asad Khan, Haziq Jamil and Mohammed J. F. Alenazi
Axioms 2024, 13(6), 342; https://doi.org/10.3390/axioms13060342 (registering DOI) - 22 May 2024
Abstract
For a graph , a degree-based graphical index takes the general form , where is a symmetric map and is the degree of . For , if (resp. ), the index is called the general product-connectivity (resp. general sum-connectivity ) index. In this paper, by formulating an optimization problem, we determine the value(s) of , for which the linear/multiple correlation coefficient of and with physicochemical properties of benzenoid hydrocarbons is the strongest. This, in turn, fills some research gaps left by similar studies in this area.
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(This article belongs to the Special Issue Advancements in Applied Mathematics and Computational Physics)
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A New Optimal Numerical Root-Solver for Solving Systems of Nonlinear Equations Using Local, Semi-Local, and Stability Analysis
by
Sania Qureshi, Francisco I. Chicharro, Ioannis K. Argyros, Amanullah Soomro, Jihan Alahmadi and Evren Hincal
Axioms 2024, 13(6), 341; https://doi.org/10.3390/axioms13060341 - 21 May 2024
Abstract
This paper introduces an iterative method with a remarkable level of accuracy, namely fourth-order convergence. The method is specifically tailored to meet the optimality condition under the Kung–Traub conjecture by linear combination. This method, with an efficiency index of approximately , employs
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This paper introduces an iterative method with a remarkable level of accuracy, namely fourth-order convergence. The method is specifically tailored to meet the optimality condition under the Kung–Traub conjecture by linear combination. This method, with an efficiency index of approximately , employs a blend of localized and semi-localized analysis to improve both efficiency and convergence. This study aims to investigate semi-local convergence, dynamical analysis to assess stability and convergence rate, and the use of the proposed solver for systems of nonlinear equations. The results underscore the potential of the proposed method for several applications in polynomiography and other areas of mathematical research. The improved performance of the proposed optimal method is demonstrated with mathematical models taken from many domains, such as physics, mechanics, chemistry, and combustion, to name a few.
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(This article belongs to the Special Issue New Perspectives in Applied Mathematics with Nonlinear Equations and Dynamical Systems)
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A Progressive Outlook on Possibility Multi-Fuzzy Soft Ordered Semigroups: Theory and Analysis
by
Sana Habib, Faiz Muhammad Khan and Violeta Leoreanu-Fotea
Axioms 2024, 13(6), 340; https://doi.org/10.3390/axioms13060340 - 21 May 2024
Abstract
The concept of possibility fuzzy soft sets is a step in a new direction towards a soft set approach that can be used to solve decision-making issues. In this piece of research, an innovative and comprehensive conceptual framework for possibility multi-fuzzy soft ordered
[...] Read more.
The concept of possibility fuzzy soft sets is a step in a new direction towards a soft set approach that can be used to solve decision-making issues. In this piece of research, an innovative and comprehensive conceptual framework for possibility multi-fuzzy soft ordered semigroups by making use of the notions that are associated with possibility multi-fuzzy soft sets as well as ordered semigroups is introduced. Possibility multi-fuzzy soft ordered semigroups mark a newly developed theoretical avenue, and the central aim of this paper is to investigate it. The focus lies on investigating this newly developed theoretical direction, with practical examples drawn from decision-making and diagnosis practices to enhance understanding and appeal to researchers’ interests. We strictly build the notions of possibility multi-fuzzy soft left (right) ideals, as well as l-idealistic and r-idealistic possibility multi-fuzzy soft ordered semigroups. Furthermore, various algebraic operations, such as union, intersection, as well as AND and OR operations are derived, while also providing a comprehensive discussion of their properties. To clarify these innovative ideas, the theoretical constructs are further reinforced with a set of demonstrative examples in order to guarantee deep and improved comprehension of the proposed framework.
Full article
(This article belongs to the Special Issue Advances in Classical and Applied Mathematics)
Open AccessArticle
Uniformly Shifted Exponential Distribution
by
Abdulhamid. A. Alzaid and Najla Qarmalah
Axioms 2024, 13(6), 339; https://doi.org/10.3390/axioms13060339 - 21 May 2024
Abstract
The use of life distributions has increased over the past decade, receiving particular attention in recent years, both from a practical and theoretical point of view. Life distributions can be used in a number of applied fields, such as medicine, biology, public health,
[...] Read more.
The use of life distributions has increased over the past decade, receiving particular attention in recent years, both from a practical and theoretical point of view. Life distributions can be used in a number of applied fields, such as medicine, biology, public health, epidemiology, engineering, economics, and demography. This paper presents and investigates a new life distribution. The proposed model shows favorable characteristics in terms of reliability theory, which makes it competitive against other commonly used life distributions, such as the exponential, gamma, and Weibull distributions. The methods of maximum likelihood and moments are used to estimate the parameters of the proposed model. Additionally, real-life data drawn from different fields are used to illustrate the usefulness of the new distribution. Further, the R programming language is used to perform all computations and produce all graphs.
Full article
(This article belongs to the Special Issue Reliability and Risk of Complex Systems: Modelling, Analysis and Optimization)
Open AccessArticle
Regular, Beating and Dilogarithmic Breathers in Biased Photorefractive Crystals
by
Carlos Alberto Betancur-Silvera, Aurea Espinosa-Cerón, Boris A. Malomed and Jorge Fujioka
Axioms 2024, 13(5), 338; https://doi.org/10.3390/axioms13050338 - 20 May 2024
Abstract
The propagation of light beams in photovoltaic pyroelectric photorefractive crystals is modelled by a specific generalization of the nonlinear Schrödinger equation (GNLSE). We use a variational approximation (VA) to predict the propagation of solitary-wave inputs in the crystals, finding that the VA equations
[...] Read more.
The propagation of light beams in photovoltaic pyroelectric photorefractive crystals is modelled by a specific generalization of the nonlinear Schrödinger equation (GNLSE). We use a variational approximation (VA) to predict the propagation of solitary-wave inputs in the crystals, finding that the VA equations involve a dilogarithm special function. The VA predicts that solitons and breathers exist, and the Vakhitov–Kolokolov criterion predicts that the solitons are stable solutions. Direct simulations of the underlying GNLSE corroborates the existence of such stable modes. The numerical solutions produce both regular breathers and ones featuring beats (long-period modulations of fast oscillations). In the latter case, the Fourier transform of amplitude oscillations reveals a nearly discrete spectrum characterizing the beats dynamics. Numerical solutions of another type demonstrate the spontaneous splitting of the input pulse in two or several secondary ones.
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(This article belongs to the Special Issue Nonlinear Schrödinger Equations)
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High Perturbations of a Fractional Kirchhoff Equation with Critical Nonlinearities
by
Shengbin Yu, Lingmei Huang and Jiangbin Chen
Axioms 2024, 13(5), 337; https://doi.org/10.3390/axioms13050337 - 20 May 2024
Abstract
This paper concerns a fractional Kirchhoff equation with critical nonlinearities and a negative nonlocal term. In the case of high perturbations (large values of , i.e., the parameter of a subcritical nonlinearity), existence results are obtained by the concentration compactness principle together
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This paper concerns a fractional Kirchhoff equation with critical nonlinearities and a negative nonlocal term. In the case of high perturbations (large values of , i.e., the parameter of a subcritical nonlinearity), existence results are obtained by the concentration compactness principle together with the mountain pass theorem and cut-off technique. The multiplicity of solutions are further considered with the help of the symmetric mountain pass theorem. Moreover, the nonexistence and asymptotic behavior of positive solutions are also investigated.
Full article
(This article belongs to the Special Issue Fractional Calculus and the Applied Analysis)
Open AccessArticle
Blow-Up Analysis of L2-Norm Solutions for an Elliptic Equation with a Varying Nonlocal Term
by
Xincai Zhu and Chunxia He
Axioms 2024, 13(5), 336; https://doi.org/10.3390/axioms13050336 - 20 May 2024
Abstract
This paper is devoted to studying a type of elliptic equation that contains a varying nonlocal term. We provide a detailed analysis of the existence, non-existence, and blow-up behavior of -norm solutions for the related equation when the potential function
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This paper is devoted to studying a type of elliptic equation that contains a varying nonlocal term. We provide a detailed analysis of the existence, non-existence, and blow-up behavior of -norm solutions for the related equation when the potential function fulfills an appropriate choice.
Full article
(This article belongs to the Special Issue Advances in Differential Equations and Its Applications)
Open AccessArticle
Respiratory Condition Detection Using Audio Analysis and Convolutional Neural Networks Optimized by Modified Metaheuristics
by
Nebojsa Bacanin, Luka Jovanovic, Ruxandra Stoean, Catalin Stoean, Miodrag Zivkovic, Milos Antonijevic and Milos Dobrojevic
Axioms 2024, 13(5), 335; https://doi.org/10.3390/axioms13050335 - 18 May 2024
Abstract
Respiratory conditions have been a focal point in recent medical studies. Early detection and timely treatment are crucial factors in improving patient outcomes for any medical condition. Traditionally, doctors diagnose respiratory conditions through an investigation process that involves listening to the patient’s lungs.
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Respiratory conditions have been a focal point in recent medical studies. Early detection and timely treatment are crucial factors in improving patient outcomes for any medical condition. Traditionally, doctors diagnose respiratory conditions through an investigation process that involves listening to the patient’s lungs. This study explores the potential of combining audio analysis with convolutional neural networks to detect respiratory conditions in patients. Given the significant impact of proper hyperparameter selection on network performance, contemporary optimizers are employed to enhance efficiency. Moreover, a modified algorithm is introduced that is tailored to the specific demands of this study. The proposed approach is validated using a real-world medical dataset and has demonstrated promising results. Two experiments are conducted: the first tasked models with respiratory condition detection when observing mel spectrograms of patients’ breathing patterns, while the second experiment considered the same data format for multiclass classification. Contemporary optimizers are employed to optimize the architecture selection and training parameters of models in both cases. Under identical test conditions, the best models are optimized by the introduced modified metaheuristic, with an accuracy of 0.93 demonstrated for condition detection, and a slightly reduced accuracy of 0.75 for specific condition identification.
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(This article belongs to the Special Issue Advances in Parameter-Tuning Techniques for Metaheuristic Algorithms)
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Exponential Stability of the Numerical Solution of a Hyperbolic System with Nonlocal Characteristic Velocities
by
Rakhmatillo Djuraevich Aloev, Abdumauvlen Suleimanovich Berdyshev, Vasila Alimova and Kymbat Slamovna Bekenayeva
Axioms 2024, 13(5), 334; https://doi.org/10.3390/axioms13050334 - 17 May 2024
Abstract
In this paper, we investigate the problem of the exponential stability of a stationary solution for a hyperbolic system with nonlocal characteristic velocities and measurement error. The formulation of the initial boundary value problem of boundary control for the specified hyperbolic system is
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In this paper, we investigate the problem of the exponential stability of a stationary solution for a hyperbolic system with nonlocal characteristic velocities and measurement error. The formulation of the initial boundary value problem of boundary control for the specified hyperbolic system is given. A difference scheme is constructed for the numerical solution of the considered initial boundary value problem. The definition of the exponential stability of the numerical solution in -norm with respect to a discrete perturbation of the equilibrium state of the initial boundary value difference problem is given. A discrete Lyapunov function for a numerical solution is constructed, and a theorem on the exponential stability of a stationary solution of the initial boundary value difference problem in -norm with respect to a discrete perturbation is proved.
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(This article belongs to the Special Issue Difference, Functional, and Related Equations)
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Static Spherically Symmetric Perfect Fluid Solutions in Teleparallel F(T) Gravity
by
Alexandre Landry
Axioms 2024, 13(5), 333; https://doi.org/10.3390/axioms13050333 - 17 May 2024
Abstract
In this paper, we investigate static spherically symmetric teleparallel gravity containing a perfect isotropic fluid. We first write the field equations and proceed to find new teleparallel solutions for perfect isotropic and linear fluids. By
[...] Read more.
In this paper, we investigate static spherically symmetric teleparallel gravity containing a perfect isotropic fluid. We first write the field equations and proceed to find new teleparallel solutions for perfect isotropic and linear fluids. By using a power-law ansatz for the coframe components, we find several classes of new non-trivial teleparallel solutions. We also find a new class of teleparallel solutions for a matter dust fluid. After, we solve the field equations for a non-linear perfect fluid. Once again, there are several new exact teleparallel solutions and also some approximated teleparallel solutions. All these classes of new solutions may be relevant for future cosmological and astrophysical applications.
Full article
(This article belongs to the Special Issue Advances in Differential Geometry and Mathematical Physics)
Open AccessArticle
Eigenvalue of (p,q)-Biharmonic System along the Ricci Flow
by
Lixu Yan, Yanlin Li, Apurba Saha, Abimbola Abolarinwa, Suraj Ghosh and Shyamal Kumar Hui
Axioms 2024, 13(5), 332; https://doi.org/10.3390/axioms13050332 - 17 May 2024
Abstract
In this paper, we determine the variation formula for the first eigenvalue of -biharmonic system on a closed Riemannian manifold. Several monotonic quantities are also derived.
Full article
(This article belongs to the Special Issue Advances in Differential Geometry and Singularity Theory)
Open AccessArticle
Solving Nonlinear Second-Order ODEs via the Eisenhart Lift and Linearization
by
Andronikos Paliathanasis
Axioms 2024, 13(5), 331; https://doi.org/10.3390/axioms13050331 - 16 May 2024
Abstract
The linearization of nonlinear differential equations represents a robust approach to solution derivation, typically achieved through Lie symmetry analysis. This study adopts a geometric methodology grounded in the Eisenhart lift, revealing transformative techniques that linearize a set of second-order ordinary differential equations. The
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The linearization of nonlinear differential equations represents a robust approach to solution derivation, typically achieved through Lie symmetry analysis. This study adopts a geometric methodology grounded in the Eisenhart lift, revealing transformative techniques that linearize a set of second-order ordinary differential equations. The research underscores the effectiveness of this geometric approach in the linearization of a class of Newtonian systems that cannot be linearized through symmetry analysis.
Full article
(This article belongs to the Special Issue Differential Equations and Its Application)
Open AccessArticle
Extremal Bicyclic Graphs with Respect to Permanental Sums and Hosoya Indices
by
Tingzeng Wu, Yinggang Bai and Shoujun Xu
Axioms 2024, 13(5), 330; https://doi.org/10.3390/axioms13050330 - 16 May 2024
Abstract
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Graph polynomials is one of the important research directions in mathematical chemistry. The coefficients of some graph polynomials, such as matching polynomial and permanental polynomial, are related to structural properties of graphs. The Hosoya index of a graph is the sum of the
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Graph polynomials is one of the important research directions in mathematical chemistry. The coefficients of some graph polynomials, such as matching polynomial and permanental polynomial, are related to structural properties of graphs. The Hosoya index of a graph is the sum of the absolute value of all coefficients for the matching polynomial. And the permanental sum of a graph is the sum of the absolute value of all coefficients of the permanental polynomial. In this paper, we characterize the second to sixth minimal Hosoya indices of all bicyclic graphs. Furthermore, using the results, the second to sixth minimal permanental sums of all bicyclic graphs are also characterized.
Full article
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Open AccessArticle
Nonuniform Sampling in Lp-Subspaces Associated with the Multi-Dimensional Special Affine Fourier Transform
by
Yingchun Jiang and Jing Yang
Axioms 2024, 13(5), 329; https://doi.org/10.3390/axioms13050329 - 15 May 2024
Abstract
In this paper, the sampling and reconstruction problems in function subspaces of associated with the multi-dimensional special affine Fourier transform (SAFT) are discussed. First, we give the definition of the multi-dimensional SAFT and study its properties including
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In this paper, the sampling and reconstruction problems in function subspaces of associated with the multi-dimensional special affine Fourier transform (SAFT) are discussed. First, we give the definition of the multi-dimensional SAFT and study its properties including the Parseval’s relation, the canonical convolution theorems and the chirp-modulation periodicity. Then, a kind of function spaces are defined by the canonical convolution in the multi-dimensional SAFT domain, the existence and the properties of the dual basis functions are demonstrated, and the -stability of the basis functions is established. Finally, based on the nonuniform samples taken on a dense set, we propose an iterative reconstruction algorithm with exponential convergence to recover the signals in a -subspace associated with the multi-dimensional SAFT, and the validity of the algorithm is demonstrated via simulations.
Full article
(This article belongs to the Special Issue Advances in Mathematical Methods in Signal Processing and Its Applications)
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Coercive and Noncoercive Mixed Generalized Complementarity Problems
by
Ram N. Mohapatra, Bijaya K. Sahu and Gayatri Pany
Axioms 2024, 13(5), 328; https://doi.org/10.3390/axioms13050328 - 15 May 2024
Abstract
Impressed with the very recent developments of noncoercive complementarity problems and the use of recession sets in complementarity problems, here, we discuss mixed generalized complementarity problems in Hausdorff topological vector spaces. We used the Tikhonov regularization procedure, as well as arguments from the
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Impressed with the very recent developments of noncoercive complementarity problems and the use of recession sets in complementarity problems, here, we discuss mixed generalized complementarity problems in Hausdorff topological vector spaces. We used the Tikhonov regularization procedure, as well as arguments from the recession analysis, to establish the existence of solutions for mixed generalized complementarity problems without coercivity assumptions in Banach spaces.
Full article
(This article belongs to the Special Issue Large-Scale Optimization and Variational Inequalities: Theory and Applications)
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