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arXiv · 1909.06819

Concerning Some Properties of Signed Graphs Associated With Specific Graphs

Yousef Bagheri·Alireza Moghadamfar·Farzaneh Ramezani
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Abstract

Two signed graphs are called switching isomorphic if one of them is isomorphic to a switching equivalent of the other. To determine the number of switching non-isomorphic signed graphs on a specific graph, we will establish a method based on the action of its automorphism group. As an application and computational results, we classify all the switching non-isomorphic signed graphs arising from the complete graph K5 and the generalized Petersen graph GP(7; 2). Moreover, some results on the automorphism groups of the target signed graphs are obtained.

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Yousef Bagheri, Alireza Moghadamfar, Farzaneh Ramezani. 2019-09-15. Concerning Some Properties of Signed Graphs Associated With Specific Graphs. https://arxiv.org/abs/1909.06819

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