On the index of unbalanced signed bicyclic graphs
C He, Y Li, H Shan, W Wang - Computational and Applied Mathematics, 2021 - Springer
C He, Y Li, H Shan, W Wang
Computational and Applied Mathematics, 2021•SpringerIn 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
indices among all unbalanced signed bicyclic graphs on n≥ 36 vertices together with the
correspondingPlease provide MSC codes. For more details, if required, kindly visit
http://www. ams. org/msc/. extremal signed graphs whose indices attain these values.
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
indices among all unbalanced signed bicyclic graphs on n≥ 36 vertices together with the
correspondingPlease provide MSC codes. For more details, if required, kindly visit
http://www. ams. org/msc/. extremal signed graphs whose indices attain these values.
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 indices among all unbalanced signed bicyclic graphs on vertices together with the correspondingPlease provide MSC codes. For more details, if required, kindly visit http://www.ams.org/msc/. extremal signed graphs whose indices attain these values.
Springer
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