There are only finitely many distance-regular graphs with valency k at least three, fixed ratio k(2)/k and large diameter
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SCOPUS
- Title
- There are only finitely many distance-regular graphs with valency k at least three, fixed ratio k(2)/k and large diameter
- Authors
- Park, J; Koolen, JH; Markowsky, G
- Date Issued
- 2013-11
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Abstract
- In this paper, we show that for given positive integer C, there are only finitely many distance-regular graphs with valency k at least three, diameter D at least six and k(2)/k <= C. This extends a conjecture of Bannai and Ito. (C) 2013 Elsevier Inc. All rights reserved.
- Keywords
- Distance-regular graphs; Bannai-Ito conjecture
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/14313
- DOI
- 10.1016/J.JCTB.2013.09.005
- ISSN
- 0095-8956
- Article Type
- Article
- Citation
- JOURNAL OF COMBINATORIAL THEORY SERIES B, vol. 103, no. 6, page. 733 - 741, 2013-11
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