On k-graceful labeling of pendant edge extension of complete bipartite graphs
For any two positive integers m, n, we denote the graph Km,n ⊙ K₁ by G. Ma Ke-Jie proposed a conjecture [9] that pendant edge extension of a complete bipartite graph is a k-graceful graph for k > 2. In this paper we prove his conjecture for n ≤ m < n² + ⎣k/n⎦ + r.
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| Date: | 2018 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2018
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| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/188358 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On k-graceful labeling of pendant edge extension of complete bipartite graphs / S. Bhoumik, S. Mitra // Algebra and Discrete Mathematics. — 2018. — Vol. 25, № 2. — С. 188–199. — Бібліогр.: 14 назв. — англ. |