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arXiv · 1406.3797

Abstract Separation Systems

Reinhard Diestel
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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.

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Reinhard Diestel. 2017-04-17. Abstract Separation Systems. https://doi.org/10.1007/s11083-017-9424-5

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