172 citations · 564 across the 31 of their papers we have counts for
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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 …
On Vietoris--Rips complexes of hypercube graphs
Michał Adamaszek, Henry Adams
We describe the homotopy types of Vietoris-Rips complexes of hypercube graphs at small scale parameters. In more detail, let be the vertex set of the hypercube graph with $2^…
Lions and contamination, triangular grids, and Cheeger constants
Henry Adams, Leah Gibson, Jack Pfaffinger
Suppose each vertex of a graph is originally occupied by contamination, except for those vertices occupied by lions. As the lions wander on the graph, they clear the contamination…
Random cyclic dynamical systems
Michał Adamaszek, Henry Adams, Francis Motta
For X a finite subset of the circle and for 0 < r <= 1 fixed, consider the function f_r : X -> X which maps each point to the clockwise furthest element of X within angular distanc…