AbstractThe following result is proved: If either G is a finite abelian group or a semidirect product of a cyclic group of prime order by a finite abelian group of odd order, then every connected Cayley graph of G is hamiltonian
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...
In the master thesis we are dealing with a very well known family of graphs with a lot of symmetry,...
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 ...
AbstractIt is proven that every connected Cayley graph X, of valency at least three, on a Hamiltonia...
AbstractLet S generate the group G. The Cayley diagram of the generators S in G is a directed graph ...
AbstractAlspach has conjectured that any 2k-regular connected Cayley graph cay(A,S) on a finite abel...
Suppose G is a nilpotent, finite group. We show that if {a,b} is any 2-element generating set of G, ...
AbstractAlspach conjectured that any 2k-regular connected Cayley graph on a finite abelian group A h...
AbstractIn this paper we will show that a Hamiltonian cycle exists in the undirected Cayley graph of...
AbstractLet G be a group generated by X. A Cayley graph over G is defined as a graph G(X) whose vert...
AbstractSuppose G is a finite group, such that |G|=30p, where p is prime. We show that if S is any g...
Assume G is a finite group, such that |G| is either 6pq or 7pq, where p and q are distinct prime num...
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...
We show there are infinitely many finite groups~$G$, such that every connected Cayley graph on~$G$ h...
In the master thesis we are dealing with a very well known family of graphs with a lot of symmetry,...
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 ...
AbstractIt is proven that every connected Cayley graph X, of valency at least three, on a Hamiltonia...
AbstractLet S generate the group G. The Cayley diagram of the generators S in G is a directed graph ...
AbstractAlspach has conjectured that any 2k-regular connected Cayley graph cay(A,S) on a finite abel...
Suppose G is a nilpotent, finite group. We show that if {a,b} is any 2-element generating set of G, ...
AbstractAlspach conjectured that any 2k-regular connected Cayley graph on a finite abelian group A h...
AbstractIn this paper we will show that a Hamiltonian cycle exists in the undirected Cayley graph of...
AbstractLet G be a group generated by X. A Cayley graph over G is defined as a graph G(X) whose vert...
AbstractSuppose G is a finite group, such that |G|=30p, where p is prime. We show that if S is any g...
Assume G is a finite group, such that |G| is either 6pq or 7pq, where p and q are distinct prime num...
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...
We show there are infinitely many finite groups~$G$, such that every connected Cayley graph on~$G$ h...
In the master thesis we are dealing with a very well known family of graphs with a lot of symmetry,...
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