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On the existence of certain subgraphs in infinite graphs

โœ Scribed by G.A Dirac; C Thomassen


Publisher
Elsevier Science
Year
1974
Weight
284 KB
Volume
77
Category
Article
ISSN
1385-7258

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Let G be an infinite graph; define de& G to be the least m such that any partition P of the vertex set of G into sets of uniformly bounded cardinality contains a set which is adjacent to at least m Other sets of the partition. If G is either a regular tree 01 a triangtiisr, sqzart or hexagonal plana