On graphs with graphic imbalance sequences
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...
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Date: | 2014 |
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Main Authors: | , |
Format: | Article |
Language: | English |
Published: |
Інститут прикладної математики і механіки НАН України
2014
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Series: | Algebra and Discrete Mathematics |
Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/153349 |
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Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Cite this: | 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. |