A new conjecture about minimal imperfect graphs (Q1096648)
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scientific article; zbMATH DE number 4031739
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new conjecture about minimal imperfect graphs |
scientific article; zbMATH DE number 4031739 |
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A new conjecture about minimal imperfect graphs (English)
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1989
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H. Meyniel proved that in every minimal imperfect graph, every pair of vertices is joined by a chordless path containing an odd number of edges. We conjectured that in every minimal imperfect graph, every pair of vertices is joined by a path containing an even number of edges. We give an equivalent version of this new conjecture.
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minimal imperfect graphs
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chordless path
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odd number of edges
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path
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even number of edges
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perfect graphs
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