Order

pp 1–14

Abstract Separation Systems

  • Reinhard Diestel
Article

DOI: 10.1007/s11083-017-9424-5

Cite this article as:
Diestel, R. Order (2017). doi:10.1007/s11083-017-9424-5

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.

Keywords

Connectivity Graph Tangle Lattice Partial order Tree 

Copyright information

© The Author(s) 2017

Authors and Affiliations

  • Reinhard Diestel
    • 1
  1. 1.Hamburg UniversityHamburgGermany

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