Archaeology of random recursive dags and Cooper-Frieze random networks

IF 0.9 4区数学 Q3 COMPUTER SCIENCE, THEORY & METHODS

Combinatorics, Probability & Computing Pub Date : 2023-06-13 DOI:10.1017/s0963548323000184

Simon Briend, Francisco Calvillo, Gábor Lugosi

引用次数: 0

Abstract

Abstract We study the problem of finding the root vertex in large growing networks. We prove that it is possible to construct confidence sets of size independent of the number of vertices in the network that contain the root vertex with high probability in various models of random networks. The models include uniform random recursive dags and uniform Cooper-Frieze random graphs.

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随机递归数据包考古学和Cooper-Frieze随机网络

摘要研究了大型增长网络中寻找根顶点的问题。我们证明了在各种随机网络模型中，可以构造大小与网络中包含高概率根顶点的顶点数无关的置信集。模型包括均匀随机递归图和均匀Cooper-Frieze随机图。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Combinatorics, Probability & Computing 数学-计算机：理论方法

CiteScore

2.40

自引率

11.10%

发文量

审稿时长

6-12 weeks

期刊介绍： Published bimonthly, Combinatorics, Probability & Computing is devoted to the three areas of combinatorics, probability theory and theoretical computer science. Topics covered include classical and algebraic graph theory, extremal set theory, matroid theory, probabilistic methods and random combinatorial structures; combinatorial probability and limit theorems for random combinatorial structures; the theory of algorithms (including complexity theory), randomised algorithms, probabilistic analysis of algorithms, computational learning theory and optimisation.