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Determinants of weighted path matrices

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arxiv 1202.3128 v1 pith:6VJA6UE7 submitted 2012-02-14 math.CO

Kelli Talaska This is my paper · ORCID
classification math.CO
keywords directedgraphpathweightedacycliccertainclassicaldeterminants
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We find rational expressions for all minors of the weighted path matrix of a directed graph, generalizing the classical Lindstrom/Gessel-Viennot result for acyclic directed graphs. The formulas are given in terms of certain flows in the graph.

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Cited by 1 Pith paper

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  1. An Introduction to Algebraic Combinatorics

    math.CO 2025-05 conditional novelty 2.0 of 10

    A proof-heavy, open-access graduate textbook on algebraic combinatorics, including a full proof of the Littlewood-Richardson rule.

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