12 citations · 12 across the 7 of their papers we have counts for
5 papers · 1 filter
Elementary proofs of the diameter bounds for the power graphs
Marco Barbieri, Kamilla Rekvényi
We give a simplified version of the proofs that, outside of their isolated vertices, the complement of the enhanced power graph and of the power graph are connected of diameter at…
On the generalised Saxl graphs of permutation groups
Saul D. Freedman, Hong Yi Huang, Melissa Lee +1
A base for a finite permutation group is a subset of with trivial pointwise stabiliser in , and the base size of is the smallest size of a base f…
On the Orbital Diameter of Primitive Affine Groups
Kamilla Rekvényi
The orbital diameter of a primitive permutation group is the maximal diameter of its orbital graphs. There has been a lot of interest in bounds for the orbital diameter. In this pa…
On the diameter of intersection graphs of finite groups
Melissa Lee, Kamilla Rekvényi
The intersection graph of a finite group is a simple graph with vertices the non-trivial proper subgroups of , and an edge between two vertices if their corresponding…
Involutions in finite simple groups as products of conjugates
Daniele Dona, Martin W. Liebeck, Kamilla Rekvényi
Let be a finite non-abelian simple group, a non-identity conjugacy class of , and the Cayley graph of based on . Our main result shows that in a…