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Random Simplicial Complexes: Around the Phase Transition

In: A Journey Through Discrete Mathematics

Author

Listed:
  • Nathan Linial

    (Hebrew University of Jerusalem, Department of Computer Science)

  • Yuval Peled

    (Hebrew University of Jerusalem, Department of Computer Science)

Abstract

This article surveys some of the work done in recent years on random simplicial complexes. We mostly consider higher-dimensional analogs of the well known phase transition in G(n, p) theory that occurs at p = 1 n $$p = \frac{1} {n}$$ . Our main objective is to provide a more streamlined and unified perspective of some of the papers in this area.

Suggested Citation

  • Nathan Linial & Yuval Peled, 2017. "Random Simplicial Complexes: Around the Phase Transition," Springer Books, in: Martin Loebl & Jaroslav Nešetřil & Robin Thomas (ed.), A Journey Through Discrete Mathematics, pages 543-570, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-44479-6_22
    DOI: 10.1007/978-3-319-44479-6_22
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