Extremal Graphs With a Given Number of Perfect Matchings
نویسندگان
چکیده
منابع مشابه
Extremal Graphs With a Given Number of Perfect Matchings
Let f(n, p) denote the maximum number of edges in a graph having n vertices and exactly p perfect matchings. For fixed p, Dudek and Schmitt showed that f(n, p) = n2/4 + cp for some constant cp when n is at least some constant np. For p ≤ 6, they also determined cp and np. For fixed p, we show that the extremal graphs for all n are determined by those with O( √ p) vertices. As a corollary, a com...
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ژورنال
عنوان ژورنال: Journal of Graph Theory
سال: 2012
ISSN: 0364-9024
DOI: 10.1002/jgt.21687