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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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2018 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2018
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/188358 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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Bhoumik, S. Mitra, S. 2023-02-25T14:40:32Z 2023-02-25T14:40:32Z 2018 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. 1726-3255 2010 MSC: 05C78 https://nasplib.isofts.kiev.ua/handle/123456789/188358 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On k-graceful labeling of pendant edge extension of complete bipartite graphs Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
On k-graceful labeling of pendant edge extension of complete bipartite graphs |
| spellingShingle |
On k-graceful labeling of pendant edge extension of complete bipartite graphs Bhoumik, S. Mitra, S. |
| title_short |
On k-graceful labeling of pendant edge extension of complete bipartite graphs |
| title_full |
On k-graceful labeling of pendant edge extension of complete bipartite graphs |
| title_fullStr |
On k-graceful labeling of pendant edge extension of complete bipartite graphs |
| title_full_unstemmed |
On k-graceful labeling of pendant edge extension of complete bipartite graphs |
| title_sort |
on k-graceful labeling of pendant edge extension of complete bipartite graphs |
| author |
Bhoumik, S. Mitra, S. |
| author_facet |
Bhoumik, S. Mitra, S. |
| publishDate |
2018 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
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.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/188358 |
| citation_txt |
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. |
| work_keys_str_mv |
AT bhoumiks onkgracefullabelingofpendantedgeextensionofcompletebipartitegraphs AT mitras onkgracefullabelingofpendantedgeextensionofcompletebipartitegraphs |
| first_indexed |
2025-12-01T07:38:19Z |
| last_indexed |
2025-12-01T07:38:19Z |
| _version_ |
1850859520754974720 |