HAMILTONICITY OF RANDOM GRAPHS IN THE STOCHASTIC BLOCK MODEL

被引：1

作者：

Anastos, Michael ^{[1
]}

Frieze, Alan ^{[2
]}

Gao, Pu ^{[3
]}

机构：

[1] Free Univ Berlin, Dept Math, D-14195 Berlin, Germany

[2] Carnegie Mellon Univ, Dept Math, Pittsburgh, PA 15213 USA

[3] Univ Waterloo, Dept Combinator & Optimizat, Waterloo, ON N2L 3G1, Canada

来源：

SIAM JOURNAL ON DISCRETE MATHEMATICS | 2021年 / 35卷 / 03期

基金：

加拿大自然科学与工程研究理事会;

关键词：

random graphs; block model; Hamilton cycles;

D O I：

10.1137/19M1296069

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the Hamiltonicity of the following model of a random graph. Suppose that we partition [n] into V-1, V-2, ..., V-k and add edge {x, y} to our graph with probability p if there exists i such that x, y is an element of V-i. Otherwise, we add the edge with probability q. We denote this model by G(n, p, q) and give tight results for Hamiltonicity, including a critical window analysis, under various conditions.

引用

页码：1854 / 1880

页数：27

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