On graphs with graphic imbalance sequences
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On graphs with graphic imbalance sequences
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| Creator |
Kozerenko, S.
Skochko, V. |
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| Description |
The imbalance of the edge e = uv in a graph G is the value imbG(e) = |dG(u) − dG(v)|. We prove that the sequence MG of all edge imbalances in G is graphic for several classes of graphs including trees, graphs in which all non-leaf vertices form a clique and the so-called complete extensions of paths, cycles and complete graphs. Also, we formulate two interesting conjectures related to graphicality of MG.
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| Date |
2019-06-14T03:26:47Z
2019-06-14T03:26:47Z 2014 |
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| Type |
Article
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| Identifier |
On graphs with graphic imbalance sequences / S. Kozerenko, V. Skochko // Algebra and Discrete Mathematics. — 2014. — Vol. 18, № 1. — С. 97–108. — Бібліогр.: 10 назв. — англ.
1726-3255 2010 MSC:05C07, 05C99. http://dspace.nbuv.gov.ua/handle/123456789/153349 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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