Two counterexamples on completely independent spanning trees

نویسنده

  • Ferenc Péterfalvi
چکیده

For each k ≥ 2, we construct a k-connected graph which does not contain two completely independent spanning trees. This disproves a conjecture of Hasunuma. Furthermore, we also give an example for a 3-connected maximal plane graph not containing two completely independent spanning trees.

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عنوان ژورنال:
  • Discrete Mathematics

دوره 312  شماره 

صفحات  -

تاریخ انتشار 2012