Abstract Separation Systems

Abstract Separation Systems Abstract separation systems provide a simple general framework in which both tree-shape and high cohesion of many combinatorial structures can be expressed, and their duality proved. Applications range from tangle-type duality and tree structure theorems in graphs, matroids or CW-complexes to, potentially, image segmentation and cluster analysis. This paper is intended as a concise common reference for the basic definitions and facts about abstract separation systems in these and any future papers using this framework. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Order Springer Journals

Abstract Separation Systems

Order , Volume 35 (1) – Apr 25, 2017
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Publisher
Springer Netherlands
Copyright
Copyright © 2017 by The Author(s)
Subject
Mathematics; Geometry; Number Theory
ISSN
0167-8094
eISSN
1572-9273
D.O.I.
10.1007/s11083-017-9424-5
Publisher site
See Article on Publisher Site

Abstract

Abstract separation systems provide a simple general framework in which both tree-shape and high cohesion of many combinatorial structures can be expressed, and their duality proved. Applications range from tangle-type duality and tree structure theorems in graphs, matroids or CW-complexes to, potentially, image segmentation and cluster analysis. This paper is intended as a concise common reference for the basic definitions and facts about abstract separation systems in these and any future papers using this framework.

Journal

OrderSpringer Journals

Published: Apr 25, 2017

References

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