2021
DOI: 10.48550/arxiv.2104.04754
|View full text |Cite
Preprint
|
Sign up to set email alerts
|

Forbidden subgraphs in enhanced power graphs of finite groups

Abstract: The enhanced power graph of a finite group is the graph whose vertex set is the set of the elements of this group, and two distinct vertices are adjacent if they generate a cyclic subgroup. In this paper, we classify all finite groups whose enhanced power graphs are split graphs and threshold graphs. We also classify all finite nilpotent groups whose enhanced power graphs are chordal graphs and Cographs. Finally, we give some families of non-nilpotent groups whose enhanced power graphs are chordal graphs and C… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

0
0
0

Publication Types

Select...

Relationship

0
0

Authors

Journals

citations
Cited by 0 publications
references
References 27 publications
0
0
0
Order By: Relevance

No citations

Set email alert for when this publication receives citations?