#### Title

### 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

#### Recommended Citation

Bapat, Ravindra B. and Karimi, Masoud, "Construction of cospectral integral regular graphs" (2017). *Journal Articles*. 2769.

https://digitalcommons.isical.ac.in/journal-articles/2769

## Comments

Open Access, Gold