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Advances and Applications in Discrete Mathematics

Abstract:
Let G be a graph with

and

It is said to be a factor of a non-DS graph if

and

are cospectral. We denote by

In this paper the method for constructing a factor of a non-DS graph is given, and some factors of non-DS graphs and cospectral graphs are also obtained.

Keywords and phrases: cospectral graphs, adjacency spectrum, non-DS graph.

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