NDLI: Spanning trees with at most 4 leaves in K 1 , 5-free graphs

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Spanning trees with at most 4 leaves in $K1,5-free graphsArticleNormal Spanning Trees , Aronszajn Trees and Excluded Minors ArticleThe Q-spectrum and Spanning Trees of Tensor Products of Bipartite Graphs ArticleCHOOSING A SPANNING TREE FOR THE INTEGER LATTICE UNIFORMLY Running Head : RANDOM SPANNING TREES ArticlePower of k choices and rainbow spanning trees in random graphs (2015)Spanning trees with at most $5$ leaves and branch vertices in total of $K_{1,5}$-free graphs ArticleSpanning trees with at most 4 leaves in $K_{1,5}-$free graphs ArticleSpanning trees with at most 4 leaves in K 1 , 5-free graphs Content Provider Semantic Scholar Author Chen, Yuan Hanh, Dang Dinh Copyright Year 2018 Abstract In 2009, Kyaw proved that every n-vertex connected K1,4-free graph G with σ4(G) \geq n- 1 contains a spanning tree with at most 3 leaves. In this paper, we prove an analogue of Kyaw’s result for connected K1,5-free graphs. We show that every n-vertex connected K1,5-free graph G with σ5(G) \geq n - 1 contains a spanning tree with at most 4 leaves. Moreover, the degree sum condition “σ5(G) \geq n- 1” is best possible. File Format PDF HTM / HTML Alternate Webpage(s) http://export.arxiv.org/pdf/1804.09332 Language English Access Restriction Open Subject Keyword Analog File spanning Graph - visual representation Plant Leaves Random graph Spanning tree Trees (plant) Vertex Content Type Text Resource Type Article$(document).ready(function() {
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