The existence of Schröder designs with equal-sized holes (Q1363650)
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scientific article; zbMATH DE number 1047043
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The existence of Schröder designs with equal-sized holes |
scientific article; zbMATH DE number 1047043 |
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The existence of Schröder designs with equal-sized holes (English)
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10 August 1997
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Holey Schröder designs generalize idempotent Schröder quasigroups. It is shown that when there are \(n\) holes each of size \(h\), a holey Schröder design exists except when \((h, n)\) is \((1, 5)\), \((1, 9)\), \((2, 4)\) or possibly \((6, 4)\), whenever \(h\) is even or \(n\equiv 0, 1\pmod 4\).
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edge-colored design
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Schröder quasigroups
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holey Schröder design
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