In this paper, we introduce localized homology, a theory for finding local geometric descriptions for topological attributes. Given a space and a cover of subspaces, we construct...
Multi-path routing is effective to enhance network availability, by selecting multiple failure-independent paths for reaching one destination in the hope to survive individual pat...
We formalize a notion of topological simplification within the framework of a filtration, which is the history of a growing complex. We classify a topological change that happens ...
Herbert Edelsbrunner, David Letscher, Afra Zomorod...
We propose a computational model for analogy solving based on a topological formalism of representation. The source and the target analogs are represented as simplexes and the anal...
Object-oriented analysis suggests semiformal usecase driven techniques for problem domain modeling from a computation independent viewpoint. The proposed approach called Topologic...