On cyclic G-designs where G is a cubic tripartite graph
It is known that a ρ-tripartite labeling of a tripartite graph G with n edges can be used to obtain a cyclic G-decomposition of K2nt+1for every positive integer t. We show that if G is an odd prism, an even Möbius ladder or a connected cubic tripartite graph of order at most 10, then G admits a ρ-tr...
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th-cmuir.6653943832-518102018-09-04T06:09:31Z On cyclic G-designs where G is a cubic tripartite graph Wannasiri Wannasit Saad El-Zanati Mathematics It is known that a ρ-tripartite labeling of a tripartite graph G with n edges can be used to obtain a cyclic G-decomposition of K2nt+1for every positive integer t. We show that if G is an odd prism, an even Möbius ladder or a connected cubic tripartite graph of order at most 10, then G admits a ρ-tripartite labeling. We conjecture that every connected tripartite cubic graph admits a ρ-tripartite labeling. © 2011 Elsevier B.V. All rights reserved. 2018-09-04T06:09:31Z 2018-09-04T06:09:31Z 2012-01-28 Journal 0012365X 2-s2.0-80955172797 10.1016/j.disc.2011.09.017 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=80955172797&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/51810 |
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Mathematics Wannasiri Wannasit Saad El-Zanati On cyclic G-designs where G is a cubic tripartite graph |
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It is known that a ρ-tripartite labeling of a tripartite graph G with n edges can be used to obtain a cyclic G-decomposition of K2nt+1for every positive integer t. We show that if G is an odd prism, an even Möbius ladder or a connected cubic tripartite graph of order at most 10, then G admits a ρ-tripartite labeling. We conjecture that every connected tripartite cubic graph admits a ρ-tripartite labeling. © 2011 Elsevier B.V. All rights reserved. |
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Journal |
| author |
Wannasiri Wannasit Saad El-Zanati |
| author_facet |
Wannasiri Wannasit Saad El-Zanati |
| author_sort |
Wannasiri Wannasit |
| title |
On cyclic G-designs where G is a cubic tripartite graph |
| title_short |
On cyclic G-designs where G is a cubic tripartite graph |
| title_full |
On cyclic G-designs where G is a cubic tripartite graph |
| title_fullStr |
On cyclic G-designs where G is a cubic tripartite graph |
| title_full_unstemmed |
On cyclic G-designs where G is a cubic tripartite graph |
| title_sort |
on cyclic g-designs where g is a cubic tripartite graph |
| publishDate |
2018 |
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https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=80955172797&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/51810 |
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