We call a Cayley digraph X= Cay (G, S) normal for G if the right regular representation R (G)
of G is normal in the full automorphism group Aut (X) of X. In this paper we give some …

Let k and p be odd primes with k< p. All vertex-primitive graphs of order kp are classified,
and those which are symmetric, or are edge-transitive but not symmetric. or are not Cayley …

Let Γ be a simple undirected graph and G a subgroup of Aut Γ. Γ is said to be G-symmetric, if
G acts transitively on the set of ordered adjacent pairs of vertices of Γ. Γ is said to be …

A simple undirected graph is said to be semisymmetric if it is regular and edge-transitive but
not vertex-transitive. This paper gives a classification of semisymmetric graphs of order 2 pq …

A step forward is made in a long standing Lovász problem regarding existence of Hamilton
paths in vertex-transitive graphs. It is shown that a vertex-transitive graph of order a product …

Arc-transitive graphs of square-free order and small valency - ScienceDirect Skip to main
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Vertex-transitive graphs whose order is a product of two primes with a primitive
automorphism group containing no imprimitive subgroup are classified. Combined with the …

Half-transitive graphs of order a product of two distinct primes<xref ref-type='fn' rid='FN0001'>
<sup& Page 1 COMMUNICATIONS IN ALGEBRA, 22(3), 915-927 (1994) HALF-TRANSITIVE …

A graph is said to be symmetric if its automorphism group acts transitively on its arcs. In this
paper, all connected pentavalent symmetric graphs of order 2 pq are classified, where p, q …

On the Normality of Cayley Digraphs of Groups of Order Twice a Prime Page 1 On the
Normality of Cayley Digraphs of Groups of Order Twice a Prime Shao-Fei Du* Department of …