Relating minimum degree and the existence of a k-factor
نویسندگان
چکیده
A k-factor in a graph G is a spanning regular subgraph in which every vertex has degree exactly k. If a graph G on n vertices has minimum degree δ ≥ n/2 and k is a positive integer such that kn is even and k < (δ + √ 2δn− n2 + 8)/2, then G has a k-factor. Moreover, this is within an additive constant of 1 of being best possible.
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