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On covering expander graphs by Hamilton cycles

✍ Scribed by Roman Glebov; Michael Krivelevich; Tibor Szabó

Book ID
115561920
Publisher
John Wiley and Sons
Year
2012
Tongue
English
Weight
188 KB
Volume
44
Category
Article
ISSN
1042-9832

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Let G be a 2-connected plane graph with outer cycle XG such that for every minimal vertex cut S of G with IS1 5 3, every component of G \ S contains a vertex of XG. A sufficient condition for G to be Hamiltonian is presented. This theorem generalizes both Tutte's theorem that every 4-connected plan