@article {
author = {Kasyoki, Donnie and Oleche, Paul},
title = {$4$-Regular prime graphs of nonsolvable groups},
journal = {International Journal of Group Theory},
volume = {9},
number = {3},
pages = {193-222},
year = {2020},
publisher = {University of Isfahan},
issn = {2251-7650},
eissn = {2251-7669},
doi = {10.22108/ijgt.2019.112277.1490},
abstract = {Let $G$ be a finite group and cd$(G)$ denote the character degree set for $G$. The prime graph $Δ(G)$ is a simple graph whose vertex set consists of prime divisors of elements in cd$(G)$, denoted $\rho(G)$. Two primes $p,q\in \rho(G)$ are adjacent in $Δ(G)$ if and only if $pq|a$ for some $a\in cd(G)$. We determine which simple $4$-regular graphs occur as prime graphs for some finite nonsolvable group.},
keywords = {Nonsolvable group,character,character degree,graph,prime graph},
url = {https://ijgt.ui.ac.ir/article_23718.html},
eprint = {https://ijgt.ui.ac.ir/article_23718_69ca905b94960ef358bf148a4b31e12a.pdf}
}