Persistent homology in graph power filtrations

The persistence of homological features in simplicial complex representations of big datasets in Rn resulting from Vietoris–Rips or Čech filtrations is commonly used to probe the topological structure of such datasets. In this paper, the notion of homological persistence in simplicial complexes obta...

Full description

Bibliographic Details
Main Authors: Allen D. Parks, David J. Marchette
Format: Article
Language:English
Published: The Royal Society 2016-01-01
Series:Royal Society Open Science
Subjects:
Online Access:https://royalsocietypublishing.org/doi/pdf/10.1098/rsos.160228