This paper forms part of a study of 2-arc transitivity for finite imprimitive symmetric graphs, namely for graphs admitting an automorphism group G that is transitive on ordered pairs of adjacentâ€¦ (More)

In this paper we introduce and study a family An(q) of abelian subgroups of GLn(q) covering every element of GLn(q). We show that An(q) contains all the centralizers of cyclic matrices and equalityâ€¦ (More)

The aim of this paper is to initiate and investigate new soft sets over semihypergroups, named special soft sets and transitive soft sets and denoted by SH and TH , respectively. It is shown that THâ€¦ (More)

Let ) , ( Î» Ï‡ G denotes the number of proper vertex colourings of with at most G Î» colours. G. Birkhoff , observed in 1912 that ) , ( Î» Ï‡ G is, for a fixed graph , a polynomial in G Î» , which is nowâ€¦ (More)

In a previous paper of the first author a procedure was developed for counting the components of a graph through the knowledge of the components of one of its quotient graphs. Here we apply thatâ€¦ (More)

The bipartite divisor graph B(X), for a set X of positive integers, and some of its properties have recently been studied. We construct the bipartite divisor graph for the product of subsets ofâ€¦ (More)