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arXiv · 2005.14076

On the index of unbalanced signed bicyclic graphs

Changxiang He·Yuying Li·Haiying Shan·Wenyan Wang
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Abstract

In this paper, we focus on the index ( largest eigenvalue) of the adjacency matrix of connected signed graphs. We give some general results on the index when the corresponding signed graph is perturbed. As applications, we determine the first five largest index among all unbalanced bicyclic graphs on n >= 36 vertices together with the corresponding extremal signed graphs whose index attain these values.

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Changxiang He, Yuying Li, Haiying Shan, Wenyan Wang. 2020-05-28. On the index of unbalanced signed bicyclic graphs. https://arxiv.org/abs/2005.14076

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