3 citations · 3 across the 5 of their papers we have counts for
5 papers · 1 filter
Tetravalent vertex-transitive graphs of order
Majid Arezoomand, Mohsen Ghasemi, Mohammad A. Iranmanesh
A graph is vertex-transitive if its automorphism group acts transitively on vertices of the graph. A vertex-transitive graph is a Cayley graph if its automorphism group contains a…
Perfect state transfer on semi-Cayley graphs over abelian groups
Majid Arezoomand
In this paper, we consider the problem on the existence of perfect state transfer(PST for short) on semi-Cayley graphs over abelian groups (which are not necessarily regular), i.e…
Totally -closed finite groups with trivial Fitting subgroup
Majid Arezoomand, Mohammad A. Iranmanesh, Cheryl E. Praeger +1
A group is said to be totally -closed if in each of its faithful permutation representations, say on a set , is the largest subgroup of which leaves…
Fixity of elusive groups and the polycirculant conjecture
Majid Arezoomand
Let be transitive. Then is called \textit{elusive} on if it has no fixed point free element of prime order. The \textit{-closure} of , denoted by…
On $\BCI$-groups and $\CI$-groups
Asieh Sattari, Majid Arezoomand, Mohammad A. Iranmanesh
Let be a finite group and be a subset of A bi-Cayley graph $\BCay(G,S)$ is a simple and an undirected graph with vertex-set and edge-set $\{\{(g,1),(s…