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On stability of Hamilton-connectedness under the 2-closure in claw-free graphs

✍ Scribed by Zdeněk Ryjáček; Petr Vrána

Publisher: John Wiley and Sons
Year: 2010
Tongue: English
Weight: 269 KB
Volume: 66
Category: Article
ISSN: 0364-9024
DOI: 10.1002/jgt.20497

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✦ Synopsis

We show that, in a claw-free graph, Hamilton-connectedness is preserved under the operation of local completion performed at a vertex with 2-connected neighborhood. This result proves a conjecture by Bollobás et al.

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