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On bipartite distance-regular graphs with a strongly closed subgraph of diameter three - MaRDI portal

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On bipartite distance-regular graphs with a strongly closed subgraph of diameter three (Q607010)

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scientific article; zbMATH DE number 5817545
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English
On bipartite distance-regular graphs with a strongly closed subgraph of diameter three
scientific article; zbMATH DE number 5817545

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    On bipartite distance-regular graphs with a strongly closed subgraph of diameter three (English)
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    19 November 2010
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    \textit{R. Hosoya} and \textit{H. Suzuki} [Eur. J. Comb. 28, No. 1, 61--74 (2007; Zbl 1105.05075)] obtained an upper bound on the second largest eigenvalue of a distance-regular \(G\) graph with a strongly closed regular subgraph \(Y\) of diameter 2. In this paper the authors provide the same type of result in the case when \(G\) is also bipartite and \(Y\) is of diameter 3.
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    distance regular graphs
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    strongly closed subgraphs
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