Add to ORKG2010 Mathematics Subject Classification: Primary 05C25. Secondary 20K01, 05C45.Let Cay(G;S) denote the Cayley graph on a finite group G with connection set S. We extend two results about the existence of cycles in Cay(G;S) from cyclic groups to arbitrary finite Abelian groups when S is a “natural” set of generators for G.This research was supported in part by a Discovery Grant from the Natural Sciences and Engineering Research Council of Canada
AbstractThe following result is proved: If either G is a finite abelian group or a semidirect produc...
Suppose that G is a finite group, such that |G| =27p, where p is prime. We show that if S is any gen...
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...
AbstractAlspach has conjectured that any 2k-regular connected Cayley graph cay(A,S) on a finite abel...
AbstractIt is proven that every connected Cayley graph X, of valency at least three, on a Hamiltonia...
AbstractIt is a fairly longstanding conjecture that if G is any finite group with ¦G¦s > 2 and if X ...
AbstractLet S generate the group G. The Cayley diagram of the generators S in G is a directed graph ...
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 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...
AbstractFor any finite abelian group G and any subset S⊆G, we determine the connectivity of the addi...
AbstractIn this short note the neighbourhood graph of a Cayley graph is considered. It has, as nodes...
Assume G is a finite group, such that |G| is either 6pq or 7pq, where p and q are distinct prime num...
AbstractThe following result is proved: If either G is a finite abelian group or a semidirect produc...
Suppose that G is a finite group, such that |G| =27p, where p is prime. We show that if S is any gen...
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...
AbstractAlspach has conjectured that any 2k-regular connected Cayley graph cay(A,S) on a finite abel...
AbstractIt is proven that every connected Cayley graph X, of valency at least three, on a Hamiltonia...
AbstractIt is a fairly longstanding conjecture that if G is any finite group with ¦G¦s > 2 and if X ...
AbstractLet S generate the group G. The Cayley diagram of the generators S in G is a directed graph ...
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 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...
AbstractFor any finite abelian group G and any subset S⊆G, we determine the connectivity of the addi...
AbstractIn this short note the neighbourhood graph of a Cayley graph is considered. It has, as nodes...
Assume G is a finite group, such that |G| is either 6pq or 7pq, where p and q are distinct prime num...
AbstractThe following result is proved: If either G is a finite abelian group or a semidirect produc...
Suppose that G is a finite group, such that |G| =27p, where p is prime. We show that if S is any gen...
In the master thesis we are dealing with a very well known family of graphs with a lot of symmetry,...