Abstract. For a finite group G let Γ(G) denote the graph defined on the non-identity elements of G in such a way that two distinct vertices are connected by an edge if and only if they generate G. In this paper it is shown that the graph Γ(G) contains a Hamiltonian cycle for many finite groups G. 1
AbstractThe classical question raised by Lovász asks whether every Cayley graph is Hamiltonian. We p...
AbstractSuppose G is a finite group, such that |G|=30p, where p is prime. We show that if S is any g...
Assume that G is a finite group. For every (Formula presented.), we define a graph (Formula presente...
For a finite group G let Gamma(G) denote the graph defined on the non-identity elements of G in such...
AbstractFor a finite group G let Γ(G) denote the graph defined on the non-identity elements of G in ...
For a finite group G let Gamma(G) denote the graph defined on the non-identity elements of G in such...
For a finite group G a graph Γ(G) is defined on the elements of G in such a way that two distinct ve...
AbstractIt is a fairly longstanding conjecture that if G is any finite group with ¦G¦s > 2 and if X ...
Suppose G is a finite group, such that |G | = 30p, where p is prime. We show that if S is any gener...
Suppose that G is a finite group, such that |G| =27p, where p is prime. We show that if S is any gen...
AbstractFor a finite group G let Γ(G) denote the graph defined on the non-identity elements of G in ...
Dixon showed that the probability that a random pair of elements in the symmetric group $S_n$ genera...
Abstract. The generating graph Γ(H) of a finite group H is the graph defined on the elements of H wi...
Suppose G is a finite group, such that |G|=30p, where p is prime. We show that if S is any generatin...
The generating graph Λ(H) of a finite group H is the graph defined on the elements of H, with an edg...
AbstractThe classical question raised by Lovász asks whether every Cayley graph is Hamiltonian. We p...
AbstractSuppose G is a finite group, such that |G|=30p, where p is prime. We show that if S is any g...
Assume that G is a finite group. For every (Formula presented.), we define a graph (Formula presente...
For a finite group G let Gamma(G) denote the graph defined on the non-identity elements of G in such...
AbstractFor a finite group G let Γ(G) denote the graph defined on the non-identity elements of G in ...
For a finite group G let Gamma(G) denote the graph defined on the non-identity elements of G in such...
For a finite group G a graph Γ(G) is defined on the elements of G in such a way that two distinct ve...
AbstractIt is a fairly longstanding conjecture that if G is any finite group with ¦G¦s > 2 and if X ...
Suppose G is a finite group, such that |G | = 30p, where p is prime. We show that if S is any gener...
Suppose that G is a finite group, such that |G| =27p, where p is prime. We show that if S is any gen...
AbstractFor a finite group G let Γ(G) denote the graph defined on the non-identity elements of G in ...
Dixon showed that the probability that a random pair of elements in the symmetric group $S_n$ genera...
Abstract. The generating graph Γ(H) of a finite group H is the graph defined on the elements of H wi...
Suppose G is a finite group, such that |G|=30p, where p is prime. We show that if S is any generatin...
The generating graph Λ(H) of a finite group H is the graph defined on the elements of H, with an edg...
AbstractThe classical question raised by Lovász asks whether every Cayley graph is Hamiltonian. We p...
AbstractSuppose G is a finite group, such that |G|=30p, where p is prime. We show that if S is any g...
Assume that G is a finite group. For every (Formula presented.), we define a graph (Formula presente...