59 citations · 338 across the 95 of their papers we have counts for
48 papers · 1 filter
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…
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-…
Association schemes with given stratum dimensions: on a paper of Peter M. Neumann
Marina Anagnostopoulou-Merkouri, Peter J. Cameron
In January 1969, Peter M. Neumann wrote a paper entitled "Primitive permutation groups of degree 3p". The main theorem placed restrictions on the parameters of a primitive but not…
Enhanced power graphs of groups are weakly perfect
Peter J. Cameron, Veronica Phan
A graph is weakly perfect if its clique number and chromatic number are equal. We show that the enhanced power graph of a finite group is weakly perfect: its clique number and…
On Difference of Enhanced Power Graph and Power Graph of a Finite Group
Sucharita Biswas, Peter J. Cameron, Angsuman Das +1
The difference graph of a finite group is the difference of enhanced power graph of and power graph of , with all isolated vertices are removed. In this paper we…