Generalized complementation (Q1072574)
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scientific article; zbMATH DE number 3941595
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalized complementation |
scientific article; zbMATH DE number 3941595 |
Statements
Generalized complementation (English)
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1987
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Certain simple phenomena of graph complementation -- selfcomplementarity and semivalidity (truth in every graph or its complement) -- can be ``lifted'' to the natural generalization of complementation involving three-coloring the edges of complete graphs. An additional assumption is needed that no tricolored triangles occur. Similar phenomena occur in lifting properties of complete graphs to regular complementation involving two-coloring the edges of complete graphs. The corresponding additional assumption is that no induced monochromatic paths of length three occur.
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perfect graphs
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graph complementation
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self complementarity
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semivalidity
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complement
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