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Parallelogram-free distance-regular graphs - MaRDI portal

Parallelogram-free distance-regular graphs (Q1386435)

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scientific article; zbMATH DE number 1154573
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Parallelogram-free distance-regular graphs
scientific article; zbMATH DE number 1154573

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    Parallelogram-free distance-regular graphs (English)
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    5 August 1998
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    This paper deals with distance-regular graphs. It is shown that a distance-regular graph with certain properties has classical parameters \((d,b,\alpha,\beta)\) with \(b<-1\). As a corollary, parallelogram-free distance-regular graphs with diameter \(d\geq 4\) and the \(Q\)-polynomial property can be characterized.
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    distance-regular graphs
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    parallelograms in graphs
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