12 citations · 16 across the 7 of their papers we have counts for
Showing 2019 · math.COShow all
3 papers · 2 filters
math.CO2019★ 1 cited
Topology and Geometry of Crystallized Polyominoes
Greg Malen, Érika Roldán
We give a complete solution to the extremal topological combinatorial problem of finding the minimum number of tiles needed to construct a polyomino with holes. We denote this…
math.CO2019★ 1 cited
Polyiamonds Attaining Extremal Topological Properties, Part II
Greg Malen, Érika Roldán
In Part II of this work, we construct crystallized polyiamonds with holes for every , that is polyiamonds which use the fewest possible tiles necessary to enclose ho…
math.CO2019★ 1 cited
Collapsibility of Random Clique Complexes
Greg Malen
We prove a sufficient condition for a finite clique complex to collapse to a -dimensional complex, and use this to exhibit thresholds for -collapsibility in a sparse rand…