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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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Bibliographic Details
Main Authors: Kozerenko, Sergiy, Skochko, Volodymyr
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
Subjects:
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1049
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