%0 Journal Article %T Spanning k-ended trees of 3-regular connected graphs %A Hamed Ghasemian Zoeram %A Daniel Yaqubi %J Mathematics %D 2015 %I arXiv %X 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 7 has spanning sub tree with at most [(n+2)/5]-ended tree. At the end we give a conjecture about spanning k-ended trees on 3-regular connected graphs. %U http://arxiv.org/abs/1510.05246v1