Brahim Chaourar

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20172025

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math.CO2025

A super-multiplicative inequality for the number of finite unlabeled arbitrary and $T_{0}$ topologies

Ibtsam A. R. Alroily, Brahim Chaourar

Let $n$ be a nonnegative integer, and $f (n)$ the number of unlabeled finite topologies on $n$ points. We prove that $f (n + m) \geq f (n) f (m)$ both for the labeled and unlabeled cases…

math.CO2019

The facets of the spanning trees polytope

Brahim Chaourar

Let $G = (V, E)$ be an undirected graph. The spanning trees polytope $P (G)$ is the convex hull of the characteristic vectors of all spanning trees of $G$ . In this paper, we describe…

A super-multiplicative inequality for the number of finite unlabeled arbitrary and T0​ topologies

The facets of the spanning trees polytope

A super-multiplicative inequality for the number of finite unlabeled arbitrary and $T_{0}$ topologies