Reducing prime graphs and recognizing circle graphs (Q1116953)
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scientific article; zbMATH DE number 4089581
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Reducing prime graphs and recognizing circle graphs |
scientific article; zbMATH DE number 4089581 |
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Reducing prime graphs and recognizing circle graphs (English)
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1987
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A reduction theorem for prime (simple) graphs in \textit{W. H. Cunningham}'s sense [SIAM J. Algebraic Discrete Methods 3, 214-228 (1982; Zbl 0497.05031)] is presented. It says that every prime graph of order \(n>5\) contains a smaller prime graph of order n-1. As an application a polynomial algorithm for recognizing circle graphs in \((n^ 5)\) time is presented.
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reduction theorem
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prime graph
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