On Randomly Generated Intersecting Hypergraphs
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Published:2003-08-12
Issue:1
Volume:10
Page:
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ISSN:1077-8926
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Container-title:The Electronic Journal of Combinatorics
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language:
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Short-container-title:Electron. J. Combin.
Author:
Bohman Tom,Cooper Colin,Frieze Alan,Martin Ryan,Ruszinkó Miklós
Abstract
Let $c$ be a positive constant. We show that if $r=\lfloor{cn^{1/3}}\rfloor$ and the members of ${[n]\choose r}$ are chosen sequentially at random to form an intersecting hypergraph then with limiting probability $(1+c^3)^{-1}$, as $n\to\infty$, the resulting family will be of maximum size ${n-1\choose r-1}$.
Publisher
The Electronic Journal of Combinatorics
Subject
Computational Theory and Mathematics,Geometry and Topology,Theoretical Computer Science,Applied Mathematics,Discrete Mathematics and Combinatorics
Cited by
2 articles.
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1. Erdős–Ko–Rado in Random Hypergraphs;Combinatorics, Probability and Computing;2009-09
2. Randomly generated intersecting hypergraphs II;Random Structures and Algorithms;2006