98 citations · 115 across the 9 of their papers we have counts for
9 papers
Piercing Numbers in Circular Societies
Kristen Mazur, Mutiara Sondjaja, Matthew Wright +1
In the system of approval voting, individuals vote for all candidates they find acceptable. Many approval voting situations can be modeled geometrically, and thus geometric concept…
Topological Data Analysis on Simple English Wikipedia Articles
Matthew Wright, Xiaojun Zheng
Single-parameter persistent homology, a key tool in topological data analysis, has been widely applied to data problems along with statistical techniques that quantify the signific…
Computing Minimal Presentations and Bigraded Betti Numbers of 2-Parameter Persistent Homology
Michael Lesnick, Matthew Wright
Motivated by applications to topological data analysis, we give an efficient algorithm for computing a (minimal) presentation of a bigraded -module , where is a fiel…
Finding Minimum Spanning Forests in a Graph
Abdel-Rahman Madkour, Phillip Nadolny, Matthew Wright
We introduce a graph partitioning problem motivated by computational topology and propose two algorithms that produce approximate solutions. Specifically, given a weighted, undirec…
Approval Voting in Product Societies
Kristen Mazur, Mutiara Sondjaja, Matthew Wright +1
In approval voting, individuals vote for all platforms that they find acceptable. In this situation it is natural to ask: When is agreement possible? What conditions guarantee that…
Interactive Visualization of 2-D Persistence Modules
Michael Lesnick, Matthew Wright
The goal of this work is to extend the standard persistent homology pipeline for exploratory data analysis to the 2-D persistence setting, in a practical, computationally efficient…
A Hadwiger Theorem for Simplicial Maps
P. Christopher Staecker, Matthew L. Wright
We define the notion of valuation on simplicial maps between geometric realizations of simplicial complexes in . Valuations on simplicial maps are analogous to valuat…
Intrinsic Volumes of Random Cubical Complexes
Michael Werman, Matthew L. Wright
Intrinsic volumes, which generalize both Euler characteristic and Lebesgue volume, are important properties of -dimensional sets. A random cubical complex is a union of unit cub…
Hadwiger's Theorem for Definable Functions
Yuliy Baryshnikov, Robert Ghrist, Matthew Wright
Hadwiger's Theorem states that Euclidean-invariant convex-continuous valuations of definable sets are linear combinations of intrinsic volumes. We lift this result from sets to dat…