3 papers
cs.CG2026
Towards an Optimal Bound for the Interleaving Distance on Mapper Graphs
Erin Wolf Chambers, Ishika Ghosh, Elizabeth Munch +2
Mapper graphs are widely used tools in topological data analysis and visualization. They can be understood as discrete approximations of Reeb graphs, providing insight into the sha…
math.CO2025
Effective Resistance in Simplicial Complexes as Bilinear Forms: Generalizations and Properties
Inés GarcÃa-Redondo, Claudia Landi, Sarah Percival +3
The concept of effective resistance, originally introduced in electrical circuit theory, has been extended to the setting of graphs by interpreting each edge as a resistor. In this…
math.HO2025
Finding the Cores of Higher Graphs Using Geometric and Topological Means: A Survey
Inés GarcÃa-Redondo, Claudia Landi, Sarah Percival +3
In this survey, we explore recent literature on finding the cores of higher graphs using geometric and topological means. We study graphs, hypergraphs, and simplicial complexes, al…