4 papers · 1 filter
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…
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…