Correction: Filion, G.J. Analytic Combinatorics for Computing Seeding Probabilities. Algorithms 2018, 11, 3

Guillaume J. Filion

doi:10.3390/a15060206

The author wishes to make the following correction to this paper [1].

Change of Affiliations

The author changed the institution and the original two affiliations should be removed. The correct affiliation appears below:

Department of Biological Sciences, University of Toronto Scarborough, 1265 Military Trail, Toronto, ON M1C 1A4, Canada

Error in Equation

Two terms were accidentally swapped in Formula (23). A correction has been made to Section 4.4 “Substitutions, Deletions and Insertions”, Formula (23):

s_{k} = \{\begin{matrix} 1 & if 0 \leq k < γ, \\ 1 - {(1 - δ)}^{γ - 1} q^{γ} & if k = γ, \\ 1 - {(1 - δ)}^{γ - 1} q^{γ} (\frac{1 - r \tilde{r}}{1 - r} + p + q δ) & if k = γ + 1, \\ (1 + \tilde{r} - r) \cdot s_{k - 1} - (\tilde{r} - r) \cdot s_{k - 2} \\ - δ q^{γ} {(1 - δ)}^{γ - 1} \cdot s_{k - γ} & if k > γ + 1 . \\ + q^{γ} {(1 - δ)}^{γ - 1} (δ (p + \tilde{r}) - p - r \frac{1 - \tilde{r}}{1 - r}) \cdot s_{k - γ - 1} \\ + p q^{γ} {(1 - δ)}^{γ} \frac{\tilde{r} - r}{1 - r} \cdot s_{k - γ - 2} \end{matrix}

(23)

The author apologizes for any inconvenience caused and states that the scientific conclusions are unaffected. This correction was approved by the Academic Editor. The original publication has also been updated.

Reference

Filion, G.J. Analytic Combinatorics for Computing Seeding Probabilities. Algorithms 2018, 11, 3. [Google Scholar] [CrossRef] [Green Version]

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