Spanning k-ended trees of 3-regular connected graphs

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 construct...

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Main Authors: Ghasemian Zoeram, Hamed; Faculty of Agriculture and Animal Science, University of Torbat-e Jam, Iran (Author), Yaqubi, Daniel; Faculty of Agriculture and Animal Science, University of Torbat-e Jam, Iran (Author)
Format: EJournal Article
Published: GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB, 2017-10-16.
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001 EJGTA_228_pdf_49
042 |a dc 
100 1 0 |a Ghasemian Zoeram, Hamed; Faculty of Agriculture and Animal Science, University of Torbat-e Jam, Iran  |e author 
100 1 0 |e contributor 
700 1 0 |a Yaqubi, Daniel; Faculty of Agriculture and Animal Science, University of Torbat-e Jam, Iran  |e author 
245 0 0 |a Spanning k-ended trees of 3-regular connected graphs 
260 |b GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB,   |c 2017-10-16. 
500 |a https://www.ejgta.org/index.php/ejgta/article/view/228 
520 |a 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. 
540 |a Copyright (c) 2017 Electronic Journal of Graph Theory and Applications (EJGTA) 
546 |a eng 
690 |a spanning tree, k-ended tree, leaf, 3-regular graph, connected graph 
655 7 |a info:eu-repo/semantics/article  |2 local 
655 7 |a info:eu-repo/semantics/publishedVersion  |2 local 
655 7 |a Peer-reviewed Article  |2 local 
786 0 |n Electronic Journal of Graph Theory and Applications (EJGTA); Vol 5, No 2 (2017): Electronic Journal of Graph Theory and Applications; 207-211 
786 0 |n 2338-2287 
787 0 |n https://www.ejgta.org/index.php/ejgta/article/view/228/pdf_49 
856 4 1 |u https://www.ejgta.org/index.php/ejgta/article/view/228/pdf_49  |z Get Fulltext