A matrix for counting paths in acyclic colored digraphs

Fuente: arXiv
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1. Verfasser: Bera, Sudip
Format: Preprint
Veröffentlicht: 2022
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author Bera, Sudip
author_facet Bera, Sudip
contents In this paper, we introduce a matrix $A_{Γ_{k, R}}$ associate with a $k$-colored acyclic digraph $Γ_{k, R}$ such that $\text{det}(A_{Γ_{k, R}})$ enumerates the paths in the digraph $Γ_{k, R}.$
format Preprint
id arxiv_https___arxiv_org_abs_2204_03367
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle A matrix for counting paths in acyclic colored digraphs
Bera, Sudip
Combinatorics
05A19, 05A05, 05C30, 05C38
In this paper, we introduce a matrix $A_{Γ_{k, R}}$ associate with a $k$-colored acyclic digraph $Γ_{k, R}$ such that $\text{det}(A_{Γ_{k, R}})$ enumerates the paths in the digraph $Γ_{k, R}.$
title A matrix for counting paths in acyclic colored digraphs
topic Combinatorics
05A19, 05A05, 05C30, 05C38
url https://arxiv.org/abs/2204.03367