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math.CO2023
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.…
math.CO2023
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…
math.CO2023
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…