Minors in random regular graphs
نویسندگان
چکیده
منابع مشابه
Minors in random regular graphs
We show that there is a constant c so that for fixed r ≥ 3 a.a.s. an r-regular graph on n vertices contains a complete graph on c √ n vertices as a minor. This confirms a conjecture of Markström [17]. Since any minor of an r-regular graph on n vertices has at most rn/2 edges, our bound is clearly best possible up to the value of the constant c. As a corollary, we also obtain the likely order of...
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ژورنال
عنوان ژورنال: Random Structures & Algorithms
سال: 2009
ISSN: 1042-9832
DOI: 10.1002/rsa.20285