2 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 -dimensional simplicial complex decomposes as a finite type product of spheres, loops on spheres, and certa…
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…