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Enumeration of balanced finite group valued functions on directed graphs

2014/05/14 by Yonah Cherniavsky, Cherniavsky, Yonah, Avraham Goldstein +5
Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #math.CO

paper · pdf · doi:10.48550/arxiv.1405.3686

arXiv admin note: substantial text overlap with arXiv:1303.5456

arxiv created 2014/05/14 · arxiv updated 2014/05/16

Abstract

A group valued function on a graph is called balanced if the product of its values along any cycle is equal to the identity element of the group. We compute the number of balanced functions from edges and vertices of a directed graph to a finite group.

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