Construction of Cospectral Integral Regular Graphs

• Autorzy: Ravindra B. Bapat , Masoud Karimi
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

eigenvalue; cospectral graphs; adjacency matrix; integral graphs

Kategorie tematyczne

• 05C50: Graphs and linear algebra (matrices, eigenvalues, etc.)

• Wydawca: De Gruyter Open
• Czasopismo: Discussiones Mathematicae Graph Theory
• Rocznik: 2017
• Tom: 37
• Numer: 3
• Strony: 595-609

Daty

wydano

2017-08-01

otrzymano

2015-12-28

poprawiono

2016-05-27

zaakceptowano

2016-05-27

online

2017-07-06

Twórcy

autor

Ravindra B. Bapat

• , , 7 S.J.S.S. Marg, ,

autor

Masoud Karimi

• , , , ; and , , , , P.O. Box 94176-94686

Identyfikatory

DOI

10.7151/dmgt.1960