Shilla distance-regular graphs
SCIE
SCOPUS
- Title
- Shilla distance-regular graphs
- Authors
- Koolen, JH; Park, J
- Date Issued
- 2010-12
- Publisher
- ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
- Abstract
- A Shilla distance-regular graph Gamma (say with valency k) is a distance-regular graph with diameter 3 such that as second-largest eigenvalue equals a(3). We will show that a(3) divides k for a Shilla distance-regular graph Gamma, and for Gamma we define b = b(Gamma) = k/a(3) In this paper we will show that there are finitely many Shilla distance-regular graphs Gamma with fixed b(Gamma) >= 2 Also, we will classify Shilla distance-regular graphs with b(Gamma) = 2 and b(Gamma) = 3 Furthermore, we will give a new existence condition for distance-regular graphs, in general. (C) 2010 Elsevier Ltd. All rights reserved
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/25565
- DOI
- 10.1016/J.EJC.2010.05.012
- ISSN
- 0195-6698
- Article Type
- Article
- Citation
- EUROPEAN JOURNAL OF COMBINATORICS, vol. 31, no. 8, page. 2064 - 2073, 2010-12
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