A class of orthogonal Latin square graphs (Q2866614)
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scientific article; zbMATH DE number 6238429
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A class of orthogonal Latin square graphs |
scientific article; zbMATH DE number 6238429 |
Statements
13 December 2013
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orthomorphism
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Hall-Paige conjecture
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A class of orthogonal Latin square graphs (English)
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This fine survey paper collects and reviews all that is known about the orthomorphism graph of a finite group \(G\). The emphasis is on the existence of orthomorphisms in finite groups and its relation to the Hall-Paige conjecture, and on the bounds for clique numbers of these graphs, that is, on the maximum number of mutually orthogonal orthomorphisms. Data for small groups are provided, and a set of 13 open problems is formulated. The bibliography consists of 60 items.
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