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A note on flow polynomials of graphs
Authors:Beifang Chen
Affiliation:a Department of Mathematics, Hong Kong University of Sciences and Technology, Clear Water Bay, Kowloon, Hong Kong
b Center for Combinatorics, LPMC-TJKLC, Nankai University, Tianjin 300071, PR China
Abstract:Using the decomposition theory of modular and integral flow polynomials, we answer a problem of Beck and Zaslavsky, by providing a general situation in which the integral flow polynomial is a multiple of the modular flow polynomial.
Keywords:Totally cyclic orientation   Eulerian-equivalence class   Integral flow polynomial   Modular flow polynomial   Isomorphism
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