Trevor Pinto

activity

20152020

most citedRandom Uniform and Pure Random Simplicial Complexes

1 citations · 1 across the 1 of their papers we have counts for

collaborators

3 papers

math.CO2020★ 1 cited

Random Uniform and Pure Random Simplicial Complexes

Klas Markström, Trevor Pinto

In this paper we introduce a method which allows us to study properties of the random uniform simplicial complex. That is, we assign equal probability to all simplicial complexes w…

math.CO2018

The $Q_{2}$ -free process in the hypercube

J. Robert Johnson, Trevor Pinto

The generation of a random triangle-saturated graph via the triangle-free process has been studied extensively. In this short note our aim is to introduce an analogous process in t…

math.CO2015

The proofs of two directed paths conjectures of Bollobás and Leader

Trevor Pinto

Let $A$ and $B$ be disjoint sets, of size $2^{k}$ , of vertices of $Q_{n}$ , the $n$ -dimensional hypercube. In 1997, Bollobás and Leader proved that there must be $(n - k) 2^{k}$ edge-disjoin…

Random Uniform and Pure Random Simplicial Complexes

The Q2​-free process in the hypercube

The proofs of two directed paths conjectures of Bollobás and Leader

The $Q_{2}$ -free process in the hypercube