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Algorithms for Perfectly Contractile Graphs

✍ Scribed by Maffray, Frédéric; Trotignon, Nicolas

Book ID
118198095
Publisher
Society for Industrial and Applied Mathematics
Year
2005
Tongue
English
Weight
408 KB
Volume
19
Category
Article
ISSN
0895-4801

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📜 SIMILAR VOLUMES

Perfectly contractile diamond-free graph
Perfectly contractile diamond-free graphs
✍ Rusu, Irena 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 415 KB

a graph with no odd hole and no stretcher is perfectly contractile, i.e., it can be reduced to a clique by successively contracting even pairs. We show that this conjecture is true for diamond-free graphs, and propose a polynomial algorithm to perform the successive contractions.