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arXiv · 2204.03367

A matrix for counting paths in acyclic colored digraphs

Sudip Bera
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Abstract

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 $Γ_{k, R}.$

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Sudip Bera. 2024-04-03. A matrix for counting paths in acyclic colored digraphs. https://doi.org/10.1007/s00373-024-02785-6

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