Counterexamples to a conjecture about Petersen-minors in supersnarks (Q1817585)
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scientific article; zbMATH DE number 1382650
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Counterexamples to a conjecture about Petersen-minors in supersnarks |
scientific article; zbMATH DE number 1382650 |
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Counterexamples to a conjecture about Petersen-minors in supersnarks (English)
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3 August 2000
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By a \(k\)-snark we mean a \(k\)-regular graph with chromatic index \(k+1\). If the value of \(k\) is unimportant the term supersnark is used. \textit{A. G. Chetwynd} and \textit{R. J. Wilson} [The theory and applications of graphs, 4th Int. Conf., Kalamazoo/Mich. 1980, 215-241 (1981; Zbl 0481.05056)] made the following conjecture: Every supersnark contains a subgraph homeomorphic/contractible to the Petersen graph. Counterexamples to this conjecture are constructed.
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edge coloring
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\(k\)-snark
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chromatic index
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supersnark
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Petersen graph
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