On free α-labelings of cubic bipartite graphs
It is known that an a-labeling of a bipartite graph G with n edges can be used to obtain a cyclic G-decomposition of K 2nx+1 for every positive integer x. It is also known that if two graphs G and H admit a free a-labeling, then their vertex-disjoint union also admits a free a-labeling. We show that...
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th-cmuir.6653943832-517952018-09-04T06:09:12Z On free α-labelings of cubic bipartite graphs Wannasiri Wannasit Saad El-Zanati Mathematics It is known that an a-labeling of a bipartite graph G with n edges can be used to obtain a cyclic G-decomposition of K 2nx+1 for every positive integer x. It is also known that if two graphs G and H admit a free a-labeling, then their vertex-disjoint union also admits a free a-labeling. We show that if G is a bipartite prism, a bipartite Möbius ladder or a connected cubic bipartite graph of order at most 14, then G admits a free a-labeling. We conjecture that every bipartite cubic graph admits a free a-labeling. 2018-09-04T06:09:12Z 2018-09-04T06:09:12Z 2012-08-01 Journal 08353026 2-s2.0-84864831854 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84864831854&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/51795 |
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Chiang Mai University |
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Chiang Mai University Library |
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Thailand |
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CMU Intellectual Repository |
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Mathematics |
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Mathematics Wannasiri Wannasit Saad El-Zanati On free α-labelings of cubic bipartite graphs |
| description |
It is known that an a-labeling of a bipartite graph G with n edges can be used to obtain a cyclic G-decomposition of K 2nx+1 for every positive integer x. It is also known that if two graphs G and H admit a free a-labeling, then their vertex-disjoint union also admits a free a-labeling. We show that if G is a bipartite prism, a bipartite Möbius ladder or a connected cubic bipartite graph of order at most 14, then G admits a free a-labeling. We conjecture that every bipartite cubic graph admits a free a-labeling. |
| format |
Journal |
| author |
Wannasiri Wannasit Saad El-Zanati |
| author_facet |
Wannasiri Wannasit Saad El-Zanati |
| author_sort |
Wannasiri Wannasit |
| title |
On free α-labelings of cubic bipartite graphs |
| title_short |
On free α-labelings of cubic bipartite graphs |
| title_full |
On free α-labelings of cubic bipartite graphs |
| title_fullStr |
On free α-labelings of cubic bipartite graphs |
| title_full_unstemmed |
On free α-labelings of cubic bipartite graphs |
| title_sort |
on free α-labelings of cubic bipartite graphs |
| publishDate |
2018 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84864831854&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/51795 |
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