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- W2084815547 abstract "Let Γ denote a bipartite Q-polynomial distance-regular graph with diameter d⩾3, valency k⩾3 and intersection number c2=1. We show that Γ has a certain equitable partition of its vertex set which involves 4d-4 cells. We use this partition to show that the intersection numbers of Γ satisfy the following divisibility conditions:ci+1-1dividesci(ci-1)for2⩽i⩽d-1,bi-1-1dividesbi(bi-1)for1⩽i⩽d-1.Using these divisibility conditions we show Γ does not exist if d=4." @default.
- W2084815547 created "2016-06-24" @default.
- W2084815547 creator A5059638892 @default.
- W2084815547 date "2007-02-01" @default.
- W2084815547 modified "2023-10-11" @default.
- W2084815547 title "On bipartite Q-polynomial distance-regular graphs with <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si7.gif overflow=scroll><mml:msub><mml:mrow><mml:mi>c</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:math>" @default.
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- W2084815547 doi "https://doi.org/10.1016/j.disc.2005.09.044" @default.
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