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Distance-regular graphs with \(c_i=b_{d-i}\) and antipodal double covers - MaRDI portal

Distance-regular graphs with \(c_i=b_{d-i}\) and antipodal double covers (Q1272893)

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scientific article; zbMATH DE number 1228564
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English
Distance-regular graphs with \(c_i=b_{d-i}\) and antipodal double covers
scientific article; zbMATH DE number 1228564

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    Distance-regular graphs with \(c_i=b_{d-i}\) and antipodal double covers (English)
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    13 March 2000
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    The main result of this paper is the following theorem: Let \(\Gamma\) be a distance-regular graph of diameter \(d\) and valency \(k>2\). Suppose there exists an integer \(s\) with \(d\leq 2s\) such that \(c_i=b_{d-i}\) for all \(1\leq i\leq s\). Then \(\Gamma\) is an antipodal double cover.
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    distance-regular graph
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    antipodal double cover
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