1 citations · 2 across the 12 of their papers we have counts for
14 papers
Integral Cayley graphs of symmetric groups on transpositions
Alireza Abdollahi, Majid Arezoomand, Mahdi Ebrahimi
We study subsets consisting of some transpositions of the symmetric group on such that the Cayley graph is an integral graph, i.…
Littlewood-Richardson coefficients and the eigenvalues of integral line graphs
Mahdi Ebrahimi
We first describe a system of inequalities (Horn's inequalities) that characterize eigenvalues of sums of Hermitian matrices. When we apply this system for integral Hermitian matri…
A hook formula for eigenvalues of k-point fixing graph
Mahdi Ebrahimi
Let denote the symmetric group on letters. The -point fixing graph is defined to be the graph with vertex set and two vertices of $\math…
Regular character-graphs whose eigenvalues are greater than or equal to -2
Mahdi Ebrahimi, Maryam Khatami, Zohreh Mirzaei
Let be a finite group and be the set of all complex irreducible characters of . The character-graph associated to , is a graph whose vertex set i…
Groups in which the co-degrees of the irreducible characters are distinct
Mahdi Ebrahimi
Let be a finite group and let be the set of all irreducible complex characters of . For a character , the number $\rm{cod}(χ):=|G:\rm{ker}χ|/…
-free character graphs with diameter three
Mahdi Ebrahimi
Let be a finite group and let be the set of all irreducible complex characters of . Let be the set of all character degrees of and denote by $…