Abstract
A graph G is called K1,5-free if G contains no K1,5 as an induced subgraph. A tree with at most m leaves is called an m-ended tree. Let σkG be the minimum degree sum of k independent vertices in G. In this paper, it is shown that every connected K1,5-free graph G contains a spanning 6-ended tree if σ7G≥G−2.
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