For a finite group G and an inverse-closed generating set C of G, let Aut (G; C) consist of
those automorphisms of G which leave C invariant. We define an Aut (G; C)-invariant normal …

A Cayley graph for a group G is called normal edge-transitive if it admits an edge-transitive
action of some subgroup of the holomorph of G the normaliser of a regular copy of G in Sym …

In this paper, a graph is assigned to any probability measure on the σ‐algebra of Borel sets
of a topological space. Using this construction, it is proved that given any number n (finite or …

Abstract Let $ U_ {6n}=\langle a, ba^{2n}= b^{3}= 1, a^{-1} ba= b^{-1}\rangle $ be a groupof
order 6n. In this paper tetravalent normal edge-transitive Cayleygraphs on $ U_ {6n} $ are …

Darafsheh and Assari in [Normal edge-transitive Cayley graphs on non-abelian groups of
order $4 p $, where $ p $ is a prime number, Sci. China Math., 56 (2013) 213--219.] …

The main idea of this paper is to provide an algebraic algorithm for constructing symmetric
graphs with optimal fault tolerance. For this purpose, we use normal edge-transitive Cayley …

Bulletin of the Iranian Mathematical Society Page 1 . Bulletin of the . Iranian Mathematical
Society . ISSN: 1017-060X (Print) . ISSN: 1735-8515 (Online) . Vol. 43 (2017), No. 3, pp. 951–974 …

The focus of this work is constructing Gray maps for linear codes over a family of Frobenius
rings, using tools from combinatorial geometries. The main combinatorial structure that are …

In this paper we determine all tetravalent Cayley graphs of a non-abelian group of order 3 p
2, where p is a prime number greater than 3, and with a cyclic Sylow p-subgroup. We show …

Normal edge-transitive Cayley graph Cay (G; S) where G is the generalized quaternion
group Q4n of order 4n or a certain group V8n of order 8n is investigated. It is shown that up …