Sharp threshold for rigidity of random graphs

被引：5

作者：

Lew, Alan ^{[1
]}

Nevo, Eran ^{[1
]}

Peled, Yuval ^{[1
]}

Raz, Orit E. ^{[1
]}

机构：

[1] Hebrew Univ Jerusalem, Einstein Inst Math, IL-91904 Jerusalem, Israel

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2023年 / 55卷 / 01期

关键词：

2-DIMENSIONAL RIGIDITY;

D O I：

10.1112/blms.12740

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the Erdos-Renyi evolution of random graphs, where a new uniformly distributed edge is added to the graph in every step. For every fixed d >= 1, we show that with high probability, the graph becomes rigid in R-d at the very moment its minimum degree becomes d, and it becomes globally rigid in R-d at the very moment its minimum degree becomes d+1.

引用

页码：490 / 501

页数：12

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