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- W3036307427 abstract "We study certain random simplicial complexes, called random quota complexes. A quota complex on $N+1$ weighted vertices is constructed by adding an $n$-simplex if the sum of the weights of the vertices is below a given quota, $q$. In this paper, the weights of the vertices are chosen i.i.d. with a Bernoulli distribution. The main result of this paper is that the expectation of the $m^{textrm{th}}$ Betti number, i.e., the dimension of the $m^{textrm{th}}$ homology group, is unimodal in $m$." @default.
- W3036307427 created "2020-06-25" @default.
- W3036307427 creator A5005398872 @default.
- W3036307427 date "2020-06-22" @default.
- W3036307427 modified "2023-09-27" @default.
- W3036307427 title "Unimodality of the Expectation of Betti Numbers for Bernoulli Random Quota Complexes." @default.
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- W3036307427 hasPublicationYear "2020" @default.
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