6 citations · 15 across the 16 of their papers we have counts for
6 papers · 1 filter
Bipartite divisor graphs for integer subsets
Mohammad A. Iranmanesh, Cheryl E. Praeger
Inspired by connections described in a recent paper by Mark L. Lewis, between the common divisor graph $\Ga(X)$ and the prime vertex graph , for a set of positive integer…
Strongly regular edge-transitive graphs
Joy Morris, Cheryl E. Praeger, Pablo Spiga
In this paper, we examine the structure of vertex- and edge-transitive strongly regular graphs, using normal quotient reduction. We show that the irreducible graphs in this family…
Fundamental Dominations in Graphs
Arash Behzad, Mehdi Behzad, Cheryl E. Praeger
Nine variations of the concept of domination in a simple graph are identified as fundamental domination concepts, and a unified approach is introduced for studying them. For each v…
Primitive decompositions of Johnson graphs
Alice Devillers, Michael Giudici, Cai Heng Li +1
A transitive decomposition of a graph is a partition of the edge set together with a group of automorphisms which transitively permutes the parts. In this paper we determine all tr…
Classification of line-transitive point-imprimitive linear spaces with line size at most 12
Cheryl E. Praeger, Shenglin Zhou
In this paper we complete a classification of finite linear spaces $\cS$ with line size at most 12 admitting a line-transitive point-imprimitive subgroup of automorphisms. The exam…
On generalised Paley graphs and their automorphism groups
Tian Khoon Lim, Cheryl E. Praeger
The generalised Paley graphs are, as their name suggests, a generalisation of the Paley graphs, first defined by Paley in 1933 (see \cite{Paley}). They arise as the relation graphs…