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Covering Complete Hypergraphs with Cuts of Minimum Total Size

✍ Scribed by Sebastian M. Cioabă; André Kündgen

Publisher
Springer Japan
Year
2011
Tongue
English
Weight
214 KB
Volume
28
Category
Article
ISSN
0911-0119

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## Abstract In this paper, we show that if a 3‐connected graph __G__ other than __K__~4~ has a vertex subset __K__ that covers the set of contractible edges of __G__ and if |__K__| 3 and |__V(G)__| 3|__K__| − 1, then __K__ is a cutset of __G__. We also give examples to show that this result is best