AbstractThe paper contains results about hamiltonian circuits and paths in Cayley graphs of finite groups. Some related new problems in Number Theory are formulated and studied. Many basic problems are open
AbstractThe following result is proved: If either G is a finite abelian group or a semidirect produc...
AbstractWe obtain a characterization of all Hamilton paths in the Cayley diagraph of a metacyclic gr...
AbstractWe show every finitely-generated, infinite abelian group (i.e. Zn x G where G is a finite ab...
AbstractThe paper contains results about hamiltonian circuits and paths in Cayley graphs of finite g...
AbstractLet S generate the group G. The Cayley diagram of the generators S in G is a directed graph ...
AbstractThe following result is proved: If either G is a finite abelian group or a semidirect produc...
AbstractIt is a fairly longstanding conjecture that if G is any finite group with ¦G¦s > 2 and if X ...
Suppose G is a nilpotent, finite group. We show that if {a,b} is any 2-element generating set of G, ...
AbstractWe show every finitely-generated, infinite abelian group (i.e. Zn x G where G is a finite ab...
2010 Mathematics Subject Classification: Primary 05C25. Secondary 20K01, 05C45.Let Cay(G;S) denote t...
We show there are infinitely many finite groups~$G$, such that every connected Cayley graph on~$G$ h...
AbstractThe classical question raised by Lovász asks whether every Cayley graph is Hamiltonian. We p...
We show there are infinitely many finite groups~$G$, such that every connected Cayley graph on~$G$ h...
Assume G is a finite group, such that |G| is either 6pq or 7pq, where p and q are distinct prime num...
AbstractLet S generate the group G. The Cayley diagram of the generators S in G is a directed graph ...
AbstractThe following result is proved: If either G is a finite abelian group or a semidirect produc...
AbstractWe obtain a characterization of all Hamilton paths in the Cayley diagraph of a metacyclic gr...
AbstractWe show every finitely-generated, infinite abelian group (i.e. Zn x G where G is a finite ab...
AbstractThe paper contains results about hamiltonian circuits and paths in Cayley graphs of finite g...
AbstractLet S generate the group G. The Cayley diagram of the generators S in G is a directed graph ...
AbstractThe following result is proved: If either G is a finite abelian group or a semidirect produc...
AbstractIt is a fairly longstanding conjecture that if G is any finite group with ¦G¦s > 2 and if X ...
Suppose G is a nilpotent, finite group. We show that if {a,b} is any 2-element generating set of G, ...
AbstractWe show every finitely-generated, infinite abelian group (i.e. Zn x G where G is a finite ab...
2010 Mathematics Subject Classification: Primary 05C25. Secondary 20K01, 05C45.Let Cay(G;S) denote t...
We show there are infinitely many finite groups~$G$, such that every connected Cayley graph on~$G$ h...
AbstractThe classical question raised by Lovász asks whether every Cayley graph is Hamiltonian. We p...
We show there are infinitely many finite groups~$G$, such that every connected Cayley graph on~$G$ h...
Assume G is a finite group, such that |G| is either 6pq or 7pq, where p and q are distinct prime num...
AbstractLet S generate the group G. The Cayley diagram of the generators S in G is a directed graph ...
AbstractThe following result is proved: If either G is a finite abelian group or a semidirect produc...
AbstractWe obtain a characterization of all Hamilton paths in the Cayley diagraph of a metacyclic gr...
AbstractWe show every finitely-generated, infinite abelian group (i.e. Zn x G where G is a finite ab...
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