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Inside the critical window for cohomology of random k -complexes

  • Published:2015-01-29 Issue:1 Volume:48 Page:102-124
  • ISSN:1042-9832
  • Container-title:Random Structures & Algorithms
  • language:en
  • Short-container-title:Random Struct. Alg.

Author:

Kahle Matthew1,Pittel Boris1

Affiliation:

1. Department of Mathematics; Ohio State University; colombus Ohio

Funder

DARPA

Publisher

Wiley

Subject

Applied Mathematics,Computer Graphics and Computer-Aided Design,General Mathematics,Software

Reference16 articles.

1. Collapsibility and vanishing of top homology in random simplicial complexes;Aronshtam;Discrete Comput Geom,2013

2. The fundamental group of random 2-complexes;Babson;J Am Math Soc,2011

3. The asymptotic number of labeled graphs with given degree sequences;Bender;J Combin Theory Ser A,1978

4. Clique percolation;Bollobás;Random Struct Algori,2009

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1. Large deviation principle for persistence diagrams of random cubical filtrations;Journal of Applied and Computational Topology;2024-01-25

2. Random hypergraphs, random simplicial complexes and their Künneth-type formulae;Journal of Knot Theory and Its Ramifications;2024-01-19

3. The Shadow Knows: Empirical Distributions of Minimum Spanning Acycles and Persistence Diagrams of Random Complexes;DISCRETE ANAL;2023

4. The integer homology threshold in _{}(,);Proceedings of the American Mathematical Society;2023-04-28

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