Matching Polynomials And Duality

Abstract

Let G be a simple graph on n vertices. An r-matching in G is a set of r independent edges. The number of r-matchings in G will be denoted by p(G,r). We set p(G,0)=1 and define the matching polynomial of G by μ(G,x):= ∑bn/2c r=0 (−1)·p(G,r)·x and the signless matching polynomial of G by μ(G,x):= ∑bn/2c r=0 p(G,r)·x. It is classical that the matching… (More)
DOI: 10.1007/s00493-004-0026-7

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