Distance-regular graphs of valency 6 and \(a_1=1\) (Q1575097)
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scientific article; zbMATH DE number 1491051
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Distance-regular graphs of valency 6 and \(a_1=1\) |
scientific article; zbMATH DE number 1491051 |
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Distance-regular graphs of valency 6 and \(a_1=1\) (English)
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23 November 2000
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The authors give a complete classification of distance-regular graphs of valency 6 and \(a_1=1\). Recall that \(a_i=|\Gamma_1(x)\cap\Gamma_i(y)|,\) where the distance \(d(x,y)\) between \(x\) and \(y\) is equal to \(i\) and \(\Gamma_j(x)\) is the set of vertices \(z\) with \(d(x,z)=j.\)
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distance-regular graphs
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association scheme
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\(P\)-polynomial scheme
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