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URL: 
http://ijmsi.ir/article-1-382-en.html   
                    
                    
                    
					 
					
                 
                
                    
                    
                    
                    
                    
                    
                    Abstract:      
                    
                    
                    Let $G$ be a finite group and $pi_{e}(G)$ be the set of orders of all elements in $G$. The set $pi_{e}(G)$ determines the prime graph (or Grunberg-Kegel graph) $Gamma(G)$ whose vertex set is $pi(G)$, the set of primes dividing the order of $G$, and two vertices $p$ and $q$ are adjacent if and only if $pqinpi_{e}(G)$. The degree $deg(p)$ of a vertex $pin pi(G)$, is the number of edges incident on $p$. Let $pi(G)={p_{1},p_{2},...,p_{k}}$ with $p_{1}
                    
                    
                    
                    
                    
                    Type of Study:  
Research paper |
                    Subject: 
                    
Special