Toughness threshold for the existence of 2-walks in K4-minor-free graphs

نویسندگان

  • Zdenek Dvorak
  • Daniel Král
  • Jakub Teska
چکیده

We show that every K4-minor free graph with toughness greater than 4/7 has a 2-walk, i.e., a closed walk visiting each vertex at most twice. We also give an example of a 4/7-tough K4-minor free graph with no 2-walk.

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عنوان ژورنال:
  • Discrete Mathematics

دوره 310  شماره 

صفحات  -

تاریخ انتشار 2010