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arXiv · 1510.05246

Spanning k-ended trees of 3-regular connected graphs

Hamed Ghasemian Zoeram·Daniel Yaqubi
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Abstract

A tree is called k-ended tree if it has at most k leaves, where a leaf is a vertex of degree one. In this paper we prove that every 3-regular connected graph with n vertices such that n is greater than 8 has spanning sub tree with at most [(2n+4)/9]-ended tree. At the end we give a conjecture about spanning k-ended trees on 3-regular connected graphs.

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Hamed Ghasemian Zoeram, Daniel Yaqubi. 2016-06-21. Spanning k-ended trees of 3-regular connected graphs. https://arxiv.org/abs/1510.05246

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