On lower bounds for the matching number of subcubic graphs

Published 27 Jun 2014 in math.CO | (1406.7227v2)

Abstract: We give a complete description of the set of triples (a,b,c) of real numbers with the following property. There exists a constant K such that a n_3 + b n_2 + c n_1 - K is a lower bound for the matching number of every connected subcubic graph G, where n_i denotes the number of vertices of degree i for each i.

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