200 citations · 471 across the 22 of their papers we have counts for
4 papers · 1 filter
Understanding U.S. Racial Segregation Through Persistent Homology
Ori Friesen, Lori Ziegelmeier
Racial segregation is a widespread social and physical phenomenon present in every city across the United States. Although prevalent nationwide, each city has a unique history of r…
A survey of simplicial, relative, and chain complex homology theories for hypergraphs
Ellen Gasparovic, Emilie Purvine, Radmila Sazdanovic +3
Hypergraphs have seen widespread application in network and data science communities in recent years. We present a survey of recent work to construct auxiliary structures from hype…
Image Triangulation Using the Sobel Operator for Vertex Selection
Olivia Laske, Lori Ziegelmeier
Image triangulation, the practice of decomposing images into triangles, deliberately employs simplification to create an abstracted representation. While triangulating an image is…
A Topology Scavenger Hunt to Introduce Topological Data Analysis
Lori Ziegelmeier
Topology at the undergraduate level is often a theoretical mathematics course, introducing concepts from point-set topology or possibly algebraic topology. However, the last two de…