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Informace o publikaci
A NEW LOWER BOUND ON THE NUMBER OF PERFECT MATCHINGS IN CUBIC GRAPHS
Autoři | |
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Rok publikování | 2009 |
Druh | Článek v odborném periodiku |
Časopis / Zdroj | SIAM Journal on Discrete Mathematics |
Citace | |
Doi | http://dx.doi.org/10.1137/080723843 |
Klíčová slova | perfect matching; cubic graph; brick and brace decomposition; perfect matching polytope |
Popis | We prove that every n-vertex cubic bridgeless graph has at least n/2 perfect matchings and give a list of all 17 such graphs that have less than n/2 + 2 perfect matchings. |