Back to Search
Start Over
Spectra of strongly Deza graphs
- Source :
- Discrete Mathematics, 2021
- Publication Year :
- 2021
-
Abstract
- A Deza graph $G$ with parameters $(n,k,b,a)$ is a $k$-regular graph with $n$ vertices such that any two distinct vertices have $b$ or $a$ common neighbours. The children $G_A$ and $G_B$ of a Deza graph $G$ are defined on the vertex set of $G$ such that every two distinct vertices are adjacent in $G_A$ or $G_B$ if and only if they have $a$ or $b$ common neighbours, respectively. A strongly Deza graph is a Deza graph with strongly regular children. In this paper we give a spectral characterisation of strongly Deza graphs, show relationships between eigenvalues, and study strongly Deza graphs which are distance-regular.
- Subjects :
- Mathematics - Combinatorics
Subjects
Details
- Database :
- arXiv
- Journal :
- Discrete Mathematics, 2021
- Publication Type :
- Report
- Accession number :
- edsarx.2101.06877
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1016/j.disc.2021.112622