Near-homogeneous tournaments and permutation groups (Q1193708)
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scientific article; zbMATH DE number 65057
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Near-homogeneous tournaments and permutation groups |
scientific article; zbMATH DE number 65057 |
Statements
Near-homogeneous tournaments and permutation groups (English)
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27 September 1992
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A tournament \(T_ n\) is near-homogeneous if \(n=4\lambda+1\), \(\lambda\geq 1\), and any arc belongs to \(\lambda\) or \(\lambda+1\) 3-cycles. The authors investigate vertex-symmetric tournaments with two arc orbits; among such tournaments of prime order less than 1000, they have found six new near- homogeneous tournaments of orders 29, 53, 173, 229, 293, and 733.
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vertex-symmetric tournaments
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near-homogeneous tournaments
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permutation group
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