Explicit construction of regular graphs without small cycles (Q790830)
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scientific article; zbMATH DE number 3849261
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Explicit construction of regular graphs without small cycles |
scientific article; zbMATH DE number 3849261 |
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Explicit construction of regular graphs without small cycles (English)
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1984
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Explicit constructions of Cayley graphs with large girth were given in \textit{G. A. Margulis} [Combinatorica 2, 71-78 (1982; Zbl 0492.05044)]. Specifically he showed how to construct infinitely many Cayley graphs X of degree d on n(X) vertices with girth larger than g, where g was specified. In this paper the bound for g is improved to \(0.4801...\log n(X)/\log(d-1)-2.\) The techniques used are similar to those of Margulis.
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Cayley graphs
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girth
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