An analogue of the Erdos-Gallai theorem for random graphs

被引：1

作者：

Balogh, Jozsef ^{[1
,2
]}

Dudek, Andrzej ^{[3
]}

Li, Lina ^{[4
]}

机构：

[1] Univ Illinois, Dept Math Sci, Urbana, IL 61801 USA

[2] Moscow Inst Phys & Technol, Moscow, Russia

[3] Western Michigan Univ, Dept Math, Kalamazoo, MI 49008 USA

[4] Univ Illinois, Dept Math, Urbana, IL USA

来源：

EUROPEAN JOURNAL OF COMBINATORICS | 2021年 / 91卷

关键词：

TURANS EXTREMAL PROBLEM; SIZE RAMSEY NUMBER; SUBGRAPHS; CYCLES;

D O I：

10.1016/j.ejc.2020.103200

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Recently, variants of many classical extremal theorems have been proved in the random environment. We, complementing existing results, extend the Erdos-Gallai Theorem in random graphs. In particular, we determine, up to a constant factor, the maximum number of edges in a P-n-free subgraph of G(N, p), practically for all values of N, n and p. Our work is also motivated by the recent progress on the size-Ramsey number of paths. (C) 2020 Elsevier Ltd. All rights reserved.

引用

页数：11

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