Add to ORKGAssume G is a finite group, such that |G| is either 6pq or 7pq, where p and q are distinct prime numbers, and let S be a generating set of G. We prove there is a Hamiltonian cycle in the corresponding Cayley graph on G with connecting set S
Suppose G is a nilpotent, finite group. We show that if {a,b} is any 2-element generating set of G, ...
AbstractThe classical question raised by Lovász asks whether every Cayley graph is Hamiltonian. We p...
AbstractIt is a fairly longstanding conjecture that if G is any finite group with ¦G¦s > 2 and if X ...
AbstractSuppose G is a finite group, such that |G|=30p, where p is prime. We show that if S is any g...
Suppose G is a finite group, such that |G | = 30p, where p is prime. We show that if S is any gener...
Suppose G is a finite group, such that |G|=30p, where p is prime. We show that if S is any generatin...
AbstractIt is a fairly longstanding conjecture that if G is any finite group with ¦G¦s > 2 and if X ...
Suppose that G is a finite group, such that |G| =27p, where p is prime. We show that if S is any gen...
Open access, licensed under Creative CommonsWe prove that if Cay(G;S) is a connected Cayley graph wi...
AbstractSuppose G is a finite group, such that |G|=30p, where p is prime. We show that if S is any g...
AbstractLet S generate the group G. The Cayley diagram of the generators S in G is a directed graph ...
AbstractIt is proven that every connected Cayley graph X, of valency at least three, on a Hamiltonia...
AbstractThe following result is proved: If either G is a finite abelian group or a semidirect produc...
We show there are infinitely many finite groups~$G$, such that every connected Cayley graph on~$G$ h...
We show there are infinitely many finite groups~$G$, such that every connected Cayley graph on~$G$ h...
Suppose G is a nilpotent, finite group. We show that if {a,b} is any 2-element generating set of G, ...
AbstractThe classical question raised by Lovász asks whether every Cayley graph is Hamiltonian. We p...
AbstractIt is a fairly longstanding conjecture that if G is any finite group with ¦G¦s > 2 and if X ...
AbstractSuppose G is a finite group, such that |G|=30p, where p is prime. We show that if S is any g...
Suppose G is a finite group, such that |G | = 30p, where p is prime. We show that if S is any gener...
Suppose G is a finite group, such that |G|=30p, where p is prime. We show that if S is any generatin...
AbstractIt is a fairly longstanding conjecture that if G is any finite group with ¦G¦s > 2 and if X ...
Suppose that G is a finite group, such that |G| =27p, where p is prime. We show that if S is any gen...
Open access, licensed under Creative CommonsWe prove that if Cay(G;S) is a connected Cayley graph wi...
AbstractSuppose G is a finite group, such that |G|=30p, where p is prime. We show that if S is any g...
AbstractLet S generate the group G. The Cayley diagram of the generators S in G is a directed graph ...
AbstractIt is proven that every connected Cayley graph X, of valency at least three, on a Hamiltonia...
AbstractThe following result is proved: If either G is a finite abelian group or a semidirect produc...
We show there are infinitely many finite groups~$G$, such that every connected Cayley graph on~$G$ h...
We show there are infinitely many finite groups~$G$, such that every connected Cayley graph on~$G$ h...
Suppose G is a nilpotent, finite group. We show that if {a,b} is any 2-element generating set of G, ...
AbstractThe classical question raised by Lovász asks whether every Cayley graph is Hamiltonian. We p...
AbstractIt is a fairly longstanding conjecture that if G is any finite group with ¦G¦s > 2 and if X ...