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arXiv · 2312.14863

Generalized T-Edge Distance-Balanced Graphs

Zohreh Aliannejadi·Mehdi Alaeiyan·Alireza Gilani
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Abstract

A connected and nonempty graph A is defined as generalized t-edge distance-balanced, while for each edge f=α\{beta} the number of edges nearer to α than \{beta} are equal to t-times of edges nearer to \{beta} than to α, for t \in N, or vice versa. We determine some classes of such graphs. Moreover, we investigate edge-szeged index of the generalized t-edge distance-balanced graphs. Also, it is discussed about their cartesian and lexicographic products.

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Zohreh Aliannejadi, Mehdi Alaeiyan, Alireza Gilani. 2023-12-22. Generalized T-Edge Distance-Balanced Graphs. https://arxiv.org/abs/2312.14863

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