The cover time of sparse random graphs

被引:44
作者
Cooper, Colin
Frieze, Alan [1 ]
机构
[1] Carnegie Mellon Univ, Dept Math Sci, Pittsburgh, PA 15213 USA
[2] Univ London Goldsmiths Coll, Dept Math & Comp Sci, London SW14 6NW, England
关键词
random walk; random graphs; cover time;
D O I
10.1002/rsa.20151
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
We study the cover time of a random walk on graphs G epsilon G(n,p), when p = c log n /n, c > 1. We prove that whp, the cover time, is asymptotic to c log (c/c-1) n log n. (c) 2006 Wiley Periodicals, Inc.
引用
收藏
页码:1 / 16
页数:16
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