Construction of cospectral integral regular graphs

Article Type

Research Article

Publication Title

Discussiones Mathematicae - Graph Theory

Abstract

Graphs G and H are called cospectral if they have the same characteristic polynomial. If eigenvalues are integral, then corresponding graphs are called integral graph. In this article we introduce a construction to produce pairs of cospectral integral regular graphs. Generalizing the construction of G4(a, b) and G5(a, b) due to Wang and Sun, we define graphs G4(G,H) and G5(G,H) and show that they are cospectral integral regular when G is an integral q- regular graph of order m and H is an integral q-regular graph of order (b - 2)m for some integer b ≥ 3.

First Page

595

Last Page

609

DOI

10.7151/dmgt.1960

Publication Date

1-1-2017

Comments

Open Access, Gold

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