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cs.MS2018
Tuning the Performance of a Computational Persistent Homology Package
Alan Hylton, Gregory Henselman-Petrusek, Janche Sang +1
In recent years, persistent homology has become an attractive method for data analysis. It captures topological features, such as connected components, holes, and voids from point…
cs.RO2018
A Topological Kinematic Workspace Analysis of the Canfield Joint
Robert Short, Alan Hylton
We use topological techniques to do a workspace analysis of the Canfield Joint, a mechanical linkage constructed with two plates connected by three legs. The Canfield Joint has thr…
math.CO2018
How to Build a Graph in n Days: Some Variants on Graph Assembly
Aria Dougherty, Nick Mayers, Robert Short
In a recent article by M. Bona and A. Vince, the authors introduced the concept of an assembly tree for a graph. Assembly trees act as record keeping devices for the construction o…