Spanning trees with a bounded number of leaves in a claw-free graph
نویسندگان
چکیده
For a graph H and an integer k ≥ 2, let σk(H) denote the minimum degree sum of k independent vertices of H . We prove that if a connected claw-free graph G satisfies σk+1(G) ≥ |G| − k, then G has a spanning tree with at most k leaves. We also show that the bound |G| − k is sharp and discuss the maximum degree of the required spanning trees.
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عنوان ژورنال:
- Ars Comb.
دوره 103 شماره
صفحات -
تاریخ انتشار 2012