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Graph transformations preserving the stability number

✍ Scribed by Benjamin Lévêque; Dominique de Werra


Book ID
118243131
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
260 KB
Volume
160
Category
Article
ISSN
0166-218X

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A Transformation Which Preserves the Cli
✍ Michael U. Gerber; Alain Hertz 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 185 KB

We introduce a graph transformation which preserves the clique number. When applied to graphs containing no odd hole and no cricket (a particular graph on 5 vertices) the transformation also preserves the chromatic number. Using this transformation we derive a polynomial algorithm for the computatio