Lewis Stanton

activity

20222024

collaborators

4 papers

math.AT2024

Loop space decompositions of moment-angle complexes associated to two dimensional simplicial complexes

Lewis Stanton

We show that the loop space of a moment-angle complex associated to a $2$ -dimensional simplicial complex decomposes as a finite type product of spheres, loops on spheres, and certa…

math.AT2023

Loop space decompositions of moment-angle complexes associated to flag complexes

Lewis Stanton

We prove that the loop space of the moment-angle complex associated to the $k$ -skeleton of a flag complex belongs to the class $P$ of spaces homotopy equivalent to a fini…

math.CO2022

Graphs with equal girth and circumference

Lewis Stanton, Jeffrey Thompson

We characterise the form of all simple, finite graphs for which the girth of the graph is equal to the circumference of the graph. We apply this to prove a bound on the number of e…

math.CO2022

Structure of a Maximal Total Independent Set

Lewis Stanton

Let $G$ be a simple, connected and finite graph with order $n$ . Denote the independence number, edge independence number and total independence number by $α (G), α^{'} (G)$ and $α " (G)$ …