Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
1.9
Journals
Axioms
Special Issues
Linear Algebra: Matrix Theory, Graph Theory and Applications
share announcement

Linear Algebra: Matrix Theory, Graph Theory and Applications

A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Algebra and Number Theory".

Deadline for manuscript submissions: closed (30 June 2022) | Viewed by 6775

Special Issue Editor

Dr. Luis Medina

E-Mail Website
Guest Editor
Departamento de Matemáticas, Facultad de Ciencias Básicas, Universidad de Antofagasta, Av Angamos 601, Antofagasta, Chile
Interests: discrete mathematics; graph theory; matrix theory; linear algebra
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

We intend to launch a Special Issue of Axioms. The central topic of this Special Issue will be “Linear Algebra: Matrix Theory, Graph Theory and Applications”. We would like to provide an opportunity to showcase recent developments in both the Matrix Theory and Graph Theory, as well as their applications in different scientific or technological disciplines. In the Keywords section, you will find a list of possible topics, but this list is not exclusive.

We hope to provide a platform to bring together experts, as well as young researchers, in the field to publish original research article.

Prof. Dr. Luis Medina
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Axioms is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • Matrix Theory 
  • Vector spaces 
  • Graph Theory 
  • Eigenvalues 
  • Eigenvectors 
  • Inverse eigenvalue problem 
  • Universal realizability 
  • Characteristic polynomial 
  • Permanental polynomials 
  • Energy graph 
  • Estrada index 
  • Spread 
  • Connectivity 
  • Chemical graphs 
  • Graph operation 
  • Line graph 
  • Domination in graphs 
  • Graph matching 

Published Papers (4 papers)

Download All Papers
Order results
Result details
Show export options expand_more Show export options expand_less
Select all
Export citation of selected articles as:

Research

10 pages, 273 KiB  
Article
Higher-Order Jacobsthal–Lucas Quaternions
by Mine Uysal and Engin Özkan
Axioms 2022, 11(12), 671; https://doi.org/10.3390/axioms11120671 - 25 Nov 2022
Cited by 6 | Viewed by 1352
Abstract
In this work, we define higher-order Jacobsthal–Lucas quaternions with the help of higher-order Jacobsthal–Lucas numbers. We examine some identities of higher-order Jacobsthal–Lucas quaternions. We introduce their basic definitions and properties. We give Binet’s formula, Cassini’s identity, Catalan’s identity, d’Ocagne identity, generating functions, and [...] Read more.
In this work, we define higher-order Jacobsthal–Lucas quaternions with the help of higher-order Jacobsthal–Lucas numbers. We examine some identities of higher-order Jacobsthal–Lucas quaternions. We introduce their basic definitions and properties. We give Binet’s formula, Cassini’s identity, Catalan’s identity, d’Ocagne identity, generating functions, and exponential generating functions of the higher-order Jacobsthal–Lucas quaternions. We also give some relations between higher-order Jacobsthal and Jacobsthal–Lucas quaternions. Full article
(This article belongs to the Special Issue Linear Algebra: Matrix Theory, Graph Theory and Applications)
12 pages, 266 KiB  
Article
On Relationships between a Linear Matrix Equation and Its Four Reduced Equations
by Bo Jiang, Yongge Tian and Ruixia Yuan
Axioms 2022, 11(9), 440; https://doi.org/10.3390/axioms11090440 - 30 Aug 2022
Viewed by 1166
Abstract
Given the linear matrix equation AXB=C, we partition it into the form [...] Read more.
Given the linear matrix equation AXB=C, we partition it into the form A1X11B1+A1X12B2+A2X21B1+A2X22B2=C, and then pre- and post-multiply both sides of the equation by the four orthogonal projectors generated from the coefficient matrices A1, A1, B1, and B2 to obtain four reduced linear matrix equations. In this situation, each of the four reduced equations involves just one of the four unknown submatrices X11, X12, X21, and X22, respectively. In this paper, we study the relationships between the general solution of AXB=C and the general solutions of the four reduced equations using some highly selective matrix analysis tools in relation to ranks, ranges, and generalized inverses of matrices. Full article
(This article belongs to the Special Issue Linear Algebra: Matrix Theory, Graph Theory and Applications)
8 pages, 267 KiB  
Article
The Eigensharp Property for Unit Graphs Associated with Some Finite Rings
by Heba Adel Abdelkarim, Eman Rawshdeh and Edris Rawashdeh
Axioms 2022, 11(7), 349; https://doi.org/10.3390/axioms11070349 - 20 Jul 2022
Cited by 1 | Viewed by 1266
Abstract
Let R be a commutative ring with unity. The unit graph G(R) is defined such that the vertex set of G(R) is the set of all elements of R, and two distinct vertices are adjacent if [...] Read more.
Let R be a commutative ring with unity. The unit graph G(R) is defined such that the vertex set of G(R) is the set of all elements of R, and two distinct vertices are adjacent if their sum is a unit in R. In this paper, we show that for each prime, p,G(Zp) and G(Z2p) are eigensharp graphs. Likewise, we show that the unit graph associated with the ring Zp[x]∕x2 is an eigensharp graph. Full article
(This article belongs to the Special Issue Linear Algebra: Matrix Theory, Graph Theory and Applications)
10 pages, 810 KiB  
Article
Toroidal Spectral Drawing
by Ming-Hsuan Kang and Jing-Wen Gu
Axioms 2022, 11(3), 137; https://doi.org/10.3390/axioms11030137 - 16 Mar 2022
Viewed by 2013
Abstract
We give a deterministic drawing algorithm to draw a graph onto a torus, which is based on the usual spectral drawing algorithm. For most of the well-known toroidal vertex-transitive graphs, the result drawings give an embedding of the graphs onto the torus. Full article
(This article belongs to the Special Issue Linear Algebra: Matrix Theory, Graph Theory and Applications)
►▼ Show Figures

Figure 1

Show export options expand_more Show export options expand_less
Select all
Export citation of selected articles as:
 
Displaying articles 1-4
Back to TopTop