Commuting graph of a group action with few edges

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2023-1-01

Author

Güloğlu, İsmail
Ercan, Gülin

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Let A be a group acting by automorphisms on the group G. The commuting graph (Formula presented.) of A-orbits of this action is the simple graph with vertex set (Formula presented.), the set of all A-orbits on (Formula presented.), where two distinct vertices xA and yA are joined by an edge if and only if there exist (Formula presented.) and (Formula presented.) such that (Formula presented.). The present paper characterizes the groups G for which (Formula presented.) is an (Formula presented.) -graph, that is, a connected graph which contains at most one vertex whose degree is not less than three.

Subject Keywords

Commuting graph, friendship graph, F-graph, group action, FINITE-GROUPS, -graph, Commuting graph, friendship graph, group action

URI

https://hdl.handle.net/11511/102746

Journal

Communications in Algebra

DOI

https://doi.org/10.1080/00927872.2023.2172180

Collections

Department of Mathematics, Article

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Citation Formats

İ. Güloğlu and G. Ercan, “Commuting graph of a group action with few edges,” Communications in Algebra, pp. 0–0, 2023, Accessed: 00, 2023. [Online]. Available: https://hdl.handle.net/11511/102746.