Explicit 2-factorizations of the odd graph (Q1765963)
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scientific article; zbMATH DE number 2138858
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Explicit 2-factorizations of the odd graph |
scientific article; zbMATH DE number 2138858 |
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Explicit 2-factorizations of the odd graph (English)
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25 February 2005
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The Odd graph \(O_k\) is the special Kneser graph \(O_k=K(2k-1,k-1)\) of order \(2k-1\choose k-1\). The authors show how 1-factors in the middle two layers of the discrete cube can be used to construct 2-factors in the Odd graph. In particular, they use the lexical matchings and modular matchings to present explicit constructions of two different 2-factorisations of the Odd graph.
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Odd graph
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Kneser graph
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2-factor
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2-factorisation
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0.89322424
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