Spanning k-ended trees of 3-regular connected graphs

Hamed Ghasemian Zoeram, Daniel Yaqubi


A vertex of degree one is called an end-vertex and the set of end-vertices of G is denoted by End(G). For a positive integer k, a tree T be called k-ended tree if $|End(T)| \leq k$. In this paper, we obtain sufficient conditions for spanning k-trees of 3-regular connected graphs. We give a construction sequence of graphs satisfying the condition. At the end, we present a conjecture about spanning k-ended trees of 3-regular connected graphs.


spanning tree, k-ended tree, leaf, 3-regular graph, connected graph

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ISSN: 2338-2287

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