Separations of Sets


Abstract separation systems are a new unifying framework in which separations of graph, matroids and other combinatorial structures can be expressed and studied. We characterize the abstract separation systems that have representations as separation systems of graphs, sets, or set bipartitions.

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Correspondence to Jakob Kneip.

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Bowler, N., Kneip, J. Separations of Sets. Order 37, 411–425 (2020).

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  • Graph
  • Tangle
  • Lattice
  • Partial order