Characterizing finite nilpotent groups associated with a graph theoretic equality
Group Theory
2021-05-28 v1 Combinatorics
Abstract
The power graph of a group is the simple graph whose vertices are the group elements and two vertices are adjacent whenever one of them is a positive power of the other. We characterize the finite nilpotent groups whose power graphs have equal vertex connectivity and minimum degree.
Cite
@article{arxiv.2105.13322,
title = {Characterizing finite nilpotent groups associated with a graph theoretic equality},
author = {Ramesh Prasad Panda and Kamal Lochan Patra and Binod Kumar Sahoo},
journal= {arXiv preprint arXiv:2105.13322},
year = {2021}
}