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- Title
Non-Bipartite Distance-Regular Graphs with Diameters 5, 6 and a Smallest Eigenvalue.
- Authors
Li, Jing; Wang, Yan; Hou, Bo; Gao, Weidong; Gao, Suogang
- Abstract
Let Γ be a non-bipartite distance-regular graphs with valancy k, diameter D and a smallest eigenvalue θ min . In 2019, Qiao, Jing and Koolen classified the non-bipartite distance-regular graphs with θ min ≤ - D - 1 D k for D = 4 , 5 . In this paper, we classify the non-bipartite distance-regular graphs with θ min ≤ - D - 2 D - 1 k for D = 5 , 6 . We remark that the technique of this paper is an extension of the approach taken by Qiao, Jing and Koolen on the study of non-bipartite distance-regular graphs in 2019.
- Subjects
EIGENVALUES; REGULAR graphs; DIAMETER
- Publication
Graphs & Combinatorics, 2022, Vol 38, Issue 3, p1
- ISSN
0911-0119
- Publication type
Article
- DOI
10.1007/s00373-022-02458-2