Subdivisions of large complete bipartite graphs and long induced paths in k-connected graphs

نویسندگان

  • Thomas Böhme
  • Bojan Mohar
  • Riste Skrekovski
  • Michael Stiebitz
چکیده

It is proved that for every positive integers k, r and s there exists an integer n = n(k, r, s) such that every k-connected graph of order at least n contains either an induced path of length s or a subdivision of the complete bipartite graph Kk,r.

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عنوان ژورنال:
  • Journal of Graph Theory

دوره 45  شماره 

صفحات  -

تاریخ انتشار 2004