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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GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB,
2017-10-16.
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LEADER | 01768 am a22002533u 4500 | ||
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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 |