Sandwiching random graphs: universality between random graph models

被引：37
|
作者：
Kim, JH
Vu, VH
机构：
[1] Univ Calif San Diego, Dept Math, La Jolla, CA 92093 USA
[2] Microsoft Corp, Microsoft Res, Redmond, WA 98052 USA
来源：
ADVANCES IN MATHEMATICS | 2004年 / 188卷 / 02期
基金：
美国国家科学基金会;
关键词：
random graphs; universality;
D O I：
10.1016/j.aim.2003.10.007
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The goal of this paper is to establish a connection between two classical models of random graphs: the random graph G(n,p) and the random regular graph G(d)(n). This connection appears to be very useful in deriving properties of one model from the other and explains why many graph invariants are universal. In particular, one obtains one-line proofs of several highly non-trivial and recent results on G(d)(n). (C) 2003 Elsevier Inc. All rights reserved.
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页码：444 / 469
页数：26
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