Complete Minors in Cubic Graphs with few short Cycles and Random Cubic Graphs

نویسنده

  • Klas Markström
چکیده

We first prove that for any fixed k a cubic graph with few short cycles contains a Kk-minor. This is a direct generalisation of a result on girth by Thomassen. We then use this theorem to show that for any fixed k a random cubic graph contains a Kk-minor asymptotically almost surely.

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عنوان ژورنال:
  • Ars Comb.

دوره 70  شماره 

صفحات  -

تاریخ انتشار 2004