1 citations · 1 across the 6 of their papers we have counts for
8 papers
Graphs defined on algebras
Peter J. Cameron
There has been a great deal of attention recently to graphs whose vertex set is a group, defined using the group structure. (The commuting graph, where two elements are joined if t…
A footnote to the KPT theorem in structural Ramsey theory
Peter J. Cameron, Siavash Lashkarighouchani
The celebrated theorem of Kechris, Pestov and Todorčević connecting structural Ramsey theory with topological dynamics has as a consequence that the Fra\"ıssé limit of a Ramsey cla…
On the difference of the intersection power graph and the power graph of a finite group
Sudip Bera, Peter J. Cameron
The difference graph D(G) of a finite group G is the graph obtained by taking the (edge) difference of the intersection power graph and the power graph of G, and subsequently remov…
A new look at twin reduction
Peter J. Cameron
Twin reduction defines an equivalence relation on the vertex set of a graph. I give a characterisation of this equivalence relation. A consequence is a structure theorem for the au…
Problems from BCC30
Peter J. Cameron
These problems were mostly presented at the problem session at the 30th British Combinatorial Conference at Queen Mary University of London on 4 July 2024. Some were contributed la…
On the order sequence of a group
Peter J. Cameron, Hiranya Kishore Dey
This paper provides a bridge between two active areas of research, the spectrum (set of element orders) and the power graph of a finite group. The order sequence of a finite group…
String -groups with real Schur index
Peter J. Cameron, Allen Herman, Dimitri Leemans
We give examples of finite string -groups (the automorphism groups of abstract regular polytopes) that have irreducible characters of real Schur index . This answers a proble…
The random graph
Peter J. Cameron
Erdős and Rényi showed the paradoxical result that there is a unique (and highly symmetric) countably infinite random graph. This graph, and its automorphism group, form the subjec…