Ka, k Minors in Graphs of Bounded Tree-Width
نویسندگان
چکیده
It is shown that for any positive integers k and w there exists a constant N = N(k, w) such that every 7-connected graph of tree-width less than w and of order at least N contains K3,k as a minor. Similar result is proved for Ka,k minors where a is an arbitrary fixed integer and the required connectivity depends only on a. These are the first results of this type where fixed connectivity forces arbitrarily large (nontrivial) minors.
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ورودعنوان ژورنال:
- J. Comb. Theory, Ser. B
دوره 86 شماره
صفحات -
تاریخ انتشار 2002