In spite of the difficulties which arise in constructing Cayley graphs with given regular automorphism group G, we conjecture that, unless G belongs to a known class of exceptions, almost all Cayley graphs of G have G for their full automorphism group. Here we prove this conjecture for nilpotent groups of odd order
Open access, licensed under Creative CommonsWe attempt to determine the structure of the automorphis...
AbstractCayley maps are embeddings of Cayley graphs in orientable surfaces, with the same local orie...
A graph is called a GRR if its automorphism group acts regularly on its vertex-set. Such a graph is ...
In spite of the difficulties which arise in constructing Cayley graphs with given regular automorphi...
We show that almost every Cayley graph ▫$Gamma$▫ of an abelian group ▫$G$▫ of odd prime-power order ...
17 pagesWe characterize the finitely generated groups that admit a Cayley graph whose only automorph...
Let G be a group generated by elements x and y such that x2 = yp = e, where p is an odd prime. Let X...
AbstractThe paper characterizes Cayley graphs that underlie Cayley maps of the highest possible leve...
International audienceWe show that every finitely generated group G with an element of order at leas...
We call a Cayley digraph X = Cay(G,S) normal for G if the right regular representation R(G) of G is ...
We call a Cayley digraph X = Cay(G, S) normal for G if the right regular representation R(G) of G is...
Let G be a finite nonabelian simple group and let Gamma be a connected undirected Cayley graph for G...
An r-regular family F of permutations on a set V contains, for each pair of vertices u,v∈V, exactly ...
AbstractLet Cay(G,S) be a connected tetravalent Cayley graph on a regular p-group G and let Aut(G) b...
Let G be a group generated by elements x and y such that x2 = yp = e, where p is an odd prime. Let X...
Open access, licensed under Creative CommonsWe attempt to determine the structure of the automorphis...
AbstractCayley maps are embeddings of Cayley graphs in orientable surfaces, with the same local orie...
A graph is called a GRR if its automorphism group acts regularly on its vertex-set. Such a graph is ...
In spite of the difficulties which arise in constructing Cayley graphs with given regular automorphi...
We show that almost every Cayley graph ▫$Gamma$▫ of an abelian group ▫$G$▫ of odd prime-power order ...
17 pagesWe characterize the finitely generated groups that admit a Cayley graph whose only automorph...
Let G be a group generated by elements x and y such that x2 = yp = e, where p is an odd prime. Let X...
AbstractThe paper characterizes Cayley graphs that underlie Cayley maps of the highest possible leve...
International audienceWe show that every finitely generated group G with an element of order at leas...
We call a Cayley digraph X = Cay(G,S) normal for G if the right regular representation R(G) of G is ...
We call a Cayley digraph X = Cay(G, S) normal for G if the right regular representation R(G) of G is...
Let G be a finite nonabelian simple group and let Gamma be a connected undirected Cayley graph for G...
An r-regular family F of permutations on a set V contains, for each pair of vertices u,v∈V, exactly ...
AbstractLet Cay(G,S) be a connected tetravalent Cayley graph on a regular p-group G and let Aut(G) b...
Let G be a group generated by elements x and y such that x2 = yp = e, where p is an odd prime. Let X...
Open access, licensed under Creative CommonsWe attempt to determine the structure of the automorphis...
AbstractCayley maps are embeddings of Cayley graphs in orientable surfaces, with the same local orie...
A graph is called a GRR if its automorphism group acts regularly on its vertex-set. Such a graph is ...
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