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math.CO2022
Čech complexes of hypercube graphs
Henry Adams, Samir Shukla, Anurag Singh
A Čech complex of a finite simple graph is a nerve complex of balls in the graph, with one ball centered at each vertex. More precisely, let the Čech complex …
math.CO2022
Bounds for the collapsibility number of a simplicial complex and non-cover complexes of hypergraphs
Rekha Santhanam, Samir Shukla, Anurag Singh
The collapsibility number of simplicial complexes was introduced by Wegner in order to understand the intersection patterns of convex sets. This number also plays an important role…
math.CO2022★ 2 cited
On Vietoris--Rips complexes (with scale 3) of hypercube graphs
Samir Shukla
For a metric space and a scale parameter , the Vietoris-Rips complex is a simplicial complex on vertex set , where a finite set $σ\subsete…