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A Geometric Approach to Acyclic Orientations

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Abstract

The set of acyclic orientations of a connected graph with a given sink has a natural poset structure. We give a geometric proof of a result of Jim Propp: this poset is the disjoint union of distributive lattices.

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Authors and Affiliations

  1. Department of Mathematics, University of Kentucky, Lexington, KY, 40506-0027, USA

    Richard Ehrenborg & MLE Slone

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  1. Richard Ehrenborg
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  2. MLE Slone
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Correspondence to Richard Ehrenborg.

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Ehrenborg, R., Slone, M. A Geometric Approach to Acyclic Orientations. Order 26, 283–288 (2009). https://doi.org/10.1007/s11083-009-9122-z

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  • DOI: https://doi.org/10.1007/s11083-009-9122-z

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