172 citations · 377 across the 33 of their papers we have counts for
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math.AT2011★ 49 cited
Min-type Morse theory for configuration spaces of hard spheres
Yuliy Baryshnikov, Peter Bubenik, Matthew Kahle
We study configuration spaces of hard spheres in a bounded region. We develop a general Morse-theoretic framework, and show that mechanically balanced configurations play the role…
math.AT2011★ 47 cited
Computational topology for configuration spaces of hard disks
Gunnar Carlsson, Jackson Gorham, Matthew Kahle +1
We explore the topology of configuration spaces of hard disks experimentally, and show that several changes in the topology can already be observed with a small number of particles…