Abstract
LetГ be a bipartite distance-regular graph of even valencyk. Let us consider the intersection array modulo 2, which would become
Lett be the length of any series of (1, 0, 1)'s witht > 1. Thent + 1|r 1 + 1, withr 1 the length of the first series.
Similar content being viewed by others
References
Bannai, E., Ito, T.: Algebraic Combinatorics I, Benjamin, California (1984)
Brouwer, A.E., Cohen, A.M., Neumaier, A.: Distance-Regular Graphs, Springer Verlag, Berlin, Heidelberg (1989)
Terwilliger, P.: The diameter of bipartite distance-regular graphs. J. Comb. Theory Ser. B32, 182–188 (1982)
Terwilliger, P.: Distance-regular graphs and (s, c, a, k)-graphs. J. Comb. Theory Ser. B34, 151–164 (1983)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Nomura, K. A remark on bipartite distance-regular graphs of even valency. Graphs and Combinatorics 11, 139–140 (1995). https://doi.org/10.1007/BF01929483
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01929483