Dense Minors In Graphs Of Large Girth

نویسندگان

  • Reinhard Diestel
  • Christof Rempel
چکیده

We show that a graph of girth greater than 6 log k + 3 and minimum degree at least 3 has a minor of minimum degree greater than k. This is best possible up to a factor of at most 9/4. As a corollary, every graph of girth at least 6 log r + 3 log log r + c and minimum degree at least 3 has a Kr minor.

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عنوان ژورنال:
  • Combinatorica

دوره 25  شماره 

صفحات  -

تاریخ انتشار 2004