59 citations · 338 across the 95 of their papers we have counts for
106 papers
Complete Mappings of Semigroups
João Araújo, Wolfram Bentz, Peter J. Cameron +2
A complete mapping of a semigroup is a bijection such that the map defined by is also a bijection. Equivalently, it determines…
Aspects of the commuting graph
V. Arvind, Xuanlong Ma, Peter J. Cameron +1
The commuting graph of a group is the graph whose vertices are the elements of , two distinct vertices joined if they commute. Our purpose in this paper is twofold: we discu…
Hypergraphs defined on algebraic structures
Peter J. Cameron, Aparna Lakshmanan S., Midhuna V. Ajith
There has been a great deal of research on graphs defined on algebraic structures in the last two decades. In this paper we begin an exploration of hypergraphs defined on algebraic…
The number of string C-groups of high rank
Peter J. Cameron, Maria Elisa Fernandes, Dimitri Leemans
If is a transitive group of degree having a string C-group of rank , then is necessarily the symmetric group . We prove that if is large enough,…
Number of spanning trees containing a given forest
Peter J. Cameron, Michael Kagan
We consider all spanning trees of a complete simple graph on vertices that contain a given forest . We show that the number of such spanning trees, , doesn't d…
Component graphs of vector spaces and zero-divisor graphs of ordered sets
Nilesh Khandekar, Peter J. Cameron, Vinayak Joshi
In this paper, nonzero component graphs and nonzero component union graphs of finite dimensional vector space are studied using the zero-divisor graph of specially constructed 0-1-…