The threshold for d-collapsibility in random complexes

L. Aronshtam; N. Linial

doi:10.1002/rsa.20585

The threshold for d-collapsibility in random complexes

L. Aronshtam^*, N. Linial

^*Corresponding author for this work

The Rachel and Selim Benin School of Engineering and Computer Science

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

In this paper we determine the threshold for d-collapsibility in the probabilistic model X_d(n,p) of d-dimensional simplicial complexes. A lower bound for this threshold p=ηdn was established in (Aronshtam and Linial, Random Struct. Algorithms 46 (2015) 26-35), and here we show that this is indeed the correct threshold. Namely, for every c>η_d, a complex drawn from is asymptotically almost surely not d-collapsible.

Original language	English
Pages (from-to)	260-269
Number of pages	10
Journal	Random Structures and Algorithms
Volume	48
Issue number	2
DOIs	https://doi.org/10.1002/rsa.20585
State	Published - 1 Mar 2016

Bibliographical note

Publisher Copyright:
© 2015 Wiley Periodicals, Inc.

Keywords

Collapsibility
Combinatory
Simplicial complex
Topology

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10.1002/rsa.20585

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KW - Combinatory

KW - Simplicial complex

KW - Topology

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The threshold for d-collapsibility in random complexes

Abstract

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Keywords

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