A geometric approach to acyclic orientations

Richard Ehrenborg, Michael Slone

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

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.

Original languageEnglish
Pages (from-to)283-288
Number of pages6
JournalOrder
Volume26
Issue number4
DOIs
StatePublished - Nov 2009

Bibliographical note

Funding Information:
Acknowledgements The authors were partially supported by National Security Agency grant H98230-06-1-0072. The authors thank Andrew Klapper and Margaret Readdy for their comments on an earlier version of this paper.

Funding

Acknowledgements The authors were partially supported by National Security Agency grant H98230-06-1-0072. The authors thank Andrew Klapper and Margaret Readdy for their comments on an earlier version of this paper.

FundersFunder number
National Security AgencyH98230-06-1-0072

    Keywords

    • Periodic graphic hyperplane arrangement
    • Regions

    ASJC Scopus subject areas

    • Algebra and Number Theory
    • Geometry and Topology
    • Computational Theory and Mathematics

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