Mathematics, Volume 10, Issue 24 , 01/12/2022

How to Distinguish Cospectral Graphs

Saeree Wananiyakul, Jörn Steuding, Janyarak Tongsomporn

Abstract

We introduce a generalized adjacency matrix in order to distinguish cospectral graphs. Our reasoning is motivated by the work of Johnson and Newman and properties of p-adic numbers. Using a polynomial time algorithm, we comment on computer experiments with which we can distinguish cospectral (non-isomorphic) graphs.

Document Type

Article

Source Type

Journal

Keywords

cospectral graphsgeneralized adjacency matrixgraph isomorphism problem

ASJC Subject Area

Mathematics : Mathematics (all)Engineering : Engineering (miscellaneous)Computer Science : Computer Science (miscellaneous)

Funding Agency

National Research Council of Thailand


Bibliography


Wananiyakul, S., Steuding, J., & Tongsomporn, J. (2022). How to Distinguish Cospectral Graphs. Mathematics, 10(24) doi:10.3390/math10244802

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