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math.CO2023
Adjacency matrices over a finite prime field and their direct sum decompositions
Akihiro Higashitani, Yuya Sugishita
In this paper, we discuss the adjacency matrices of finite undirected simple graphs over a finite prime field . We apply symmetric (row and column) elementary transfo…
math.CO2022
A characteristic polynomial of the Seidel matrix over
Yuya Sugishita
In this paper, we consider the condition when the characteristic polynomials of the Seidel matrix of the graphs are decomposed into products of linear polynomials over $\mathbb{F}_…