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Between the enhanced power graph and the commuting graphCameron, Peter J., 1947- ; Kuzma, Bojan, 1968-The purpose of this note is to define a graph whose vertex set is a finite group ▫$G$▫, whose edge set is contained in that of the commuting graph of ▫$G$▫ and contains the enhanced power graph of ... ▫$G$▫. We call this graph the deep commuting graph of ▫$G$▫. Two elements of ▫$G$▫ are joined in the deep commuting graph if and only if their inverse images in every central extension of ▫$G$▫ commute. We give conditions for the graph to be equal to either of the enhanced power graph and the commuting graph, and show that automorphisms of ▫$G$▫ act as automorphisms of the deep commuting graph.Source: Journal of graph theory. - ISSN 0364-9024 (Vol. 102, iss. 2, Feb. 2023, str. 295-303)Type of material - article, component part ; adult, seriousPublish date - 2023Language - englishCOBISS.SI-ID - 151079683
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Cameron, Peter J., 1947- | |
Kuzma, Bojan, 1968- | 18893 |
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