# Random Simplicial Complexes

@article{Costa2016RandomSC,
title={Random Simplicial Complexes},
author={A. Costa and M. Farber},
journal={arXiv: Algebraic Topology},
year={2016},
pages={129-153}
}
• Published 2016
• Mathematics
• arXiv: Algebraic Topology
• In this paper we propose a model of random simplicial complexes with randomness in all dimensions. We start with a set of n vertices and retain each of them with probability p0; on the next step we connect every pair of retained vertices by an edge with probability p1, and then fill in every triangle in the obtained random graph with probability p2, and so on. As the result we obtain a random simplicial complex depending on the set of probability parameters ($$p_{0},p_{1},\ldots,p_{r}$$), 0 ≤ p… CONTINUE READING
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