Back to Search
Start Over
CONSTRUCTION OF COSPECTRAL INTEGRAL REGULAR GRAPHS.
- Source :
-
Discussiones Mathematicae: Graph Theory . 2017, Vol. 37 Issue 3, p595-609. 15p. 2 Diagrams. - Publication Year :
- 2017
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *INTEGRALS
*REGULAR graphs
*EIGENVALUES
*INTEGERS
*GEOMETRIC vertices
Subjects
Details
- Language :
- English
- ISSN :
- 12343099
- Volume :
- 37
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Discussiones Mathematicae: Graph Theory
- Publication Type :
- Academic Journal
- Accession number :
- 124786447
- Full Text :
- https://doi.org/10.7151/dmgt.1960