A Simple Existence Criterion for Normal Spanning Trees

نویسنده

  • Reinhard Diestel
چکیده

Halin proved in 1978 that there exists a normal spanning tree in every connected graph G that satisfies the following two conditions: (i) G contains no subdivision of a ‘fat’ Kא0 , one in which every edge has been replaced by uncountably many parallel edges; and (ii) G has no Kא0 subgraph. We show that the second condition is unnecessary.

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عنوان ژورنال:
  • Electr. J. Comb.

دوره 23  شماره 

صفحات  -

تاریخ انتشار 2016