On limit points of spectra of the random graph first-order properties

被引：0

作者：

Zhukovskii, M. E. ^{[1
]}

机构：

[1] State Univ, Moscow Inst Phys & Technol, Dolgoprudnyi 141700, Moscow Oblast, Russia

来源：

DOKLADY MATHEMATICS | 2015年 / 92卷 / 03期

基金：

俄罗斯基础研究基金会;

关键词：

Limit Point; Random Graph; DOKLADY Mathematic; Winning Strategy; Order Property;

D O I：

10.1134/S1064562415060265

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

New bounds on the minimum and maximum limit points of spectra of first-order properties of the Erdos-R,nyi random graph are obtained. These results are used to improve bounds on the minimal quantifier depths of first-order formulas with infinite spectra. Moreover, we prove that there are no limit points of the spectra in the interval (1-2(1-k) , 1).

引用

页码：719 / 722

页数：4

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