1. COMPUTING THE EIGENVALUES OF CAYLEY GRAPHS OF ORDER p2q

M. Ghorbani; A. Seyyed-Hadi; F. Nowroozi-Larki

Volume 7, Issue 2 , Winter and Spring 2020, , Pages 189-203

Abstract
  A graph is called symmetric if its full automorphism group acts transitively on the set of arcs. The Cayley graph $\Gamma=Cay(G,S)$ on group $G$ is said to be normal symmetric if $N_A(R(G))=R(G)\rtimes Aut(G,S)$ acts transitively on the set of arcs of $\Gamma$. In this paper, we classify all connected ...  Read More

2. ON THE SPECTRUM OF DERANGEMENT GRAPHS OF ORDER A PRODUCT OF THREE PRIMES

Modjtaba Ghorbani; Mina Rajabi-Parsa

Volume 6, Issue 2 , Winter and Spring 2019, , Pages 81-89

Abstract
  A permutation with no fixed points is called a derangement. The subset $\mathcal{D}$ of a permutation group is derangement if all elements of $\mathcal{D}$ are derangement. Let $G$ be a permutation group, a derangementgraph is one with vertex set $G$ and derangement set $\mathcal{D}$ as connecting ...  Read More

3. TABLE OF MARKS OF FINITE GROUPS

M. Ghorbani; F. Abbasi

Volume 5, Issue 1 , Summer and Autumn 2017, , Pages 27-51

Abstract
  Let G be a finite group and C(G) be the family of representative conjugacy classes of subgroups of G. The matrix whose H;K-entry is the number of fixed points of the set G=K under the action of H is called the table of marks of G where H;K run through all elements in C(G). In this paper, we compute the ...  Read More

4. RATIONAL CHARACTER TABLE OF SOME FINITE GROUPS

H. Shabani; A. R. Ashrafi; M. Ghorbani

Volume 3, Issue 2 , Winter and Spring 2016, , Pages 151-169

Abstract
  The aim of this paper is to compute the rational character tables of the dicyclic group $T_{4n}$, the groups of order $pq$ and $pqr$. Some general properties of rational character tables are also considered into account.The aim of this paper is to compute the rational character tables of the dicyclic ...  Read More