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On graphs with graphic imbalance sequences
The imbalance of the edge e=uv in a graph \(G\) is the value \(imb_{G}(e)=|d_{G}(u)-d_{G}(v)|\). We prove that the sequence \(M_{G}\) 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 comple...
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Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Lugansk National Taras Shevchenko University
2018
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Subjects: | |
Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1049 |
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