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Combinatorial geometries, convex polyhedra, and Schubert cells
I. M. Gel ′ · 1987
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On the decidability of Diophantine problems in combinatorial geometry
Bernd Sturmfels · 1987
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The universality theorems on the classification problem of configuration varieties and convex polytopes varieties
N. E. Mnëv · 1988
Earlier work this paper cites.
Parametrizations of canonical bases and totally positive matrices
Arkady Berenstein, Sergey Fomin, and Andrei Zelevinsky · 1996
Earlier work this paper cites.
A complementation theorem for perfect matchings of graphs having a cellular completion
Mihai Ciucu · 1998
Earlier work this paper cites.
Total positivity in partial flag manifolds
G. Lusztig · 1998
Earlier work this paper cites.
Double Bruhat cells and total positivity
Sergey Fomin and Andrei Zelevinsky · 1999
Earlier work this paper cites.
Grassmannians and cluster algebras
J.S Scott · 2001
Earlier work this paper cites.
Lattice structure for orientations of graphs
James Propp · 2002
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Two new combinatorial models for the Ptolemy recurrence
G. Carroll and G Price · 2003
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Generalized domino-shuffling
James Propp · 2003
Earlier work this paper cites.
Applications of graphical condensation for enumerating matchings and tilings
Eric H. Kuo · 2004
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Moduli spaces of local systems and higher Teichmüller theory
Vladimir Fock and Alexander Goncharov · 2006
Earlier work this paper cites.
Total positivity, Grassmannians, and networks
Alexander Postnikov · 2006
Cited alongside, same era.
Closure relations for totally nonnegative cells in G / P G/P
K. Rietsch · 2006
Cited alongside, same era.
Grassmannians and cluster algebras
J. S. Scott · 2006
Cited alongside, same era.
Perfect matchings and the octahedron recurrence
David E. Speyer · 2007
Cited alongside, same era.
A formula for Plücker coordinates associated with a planar network
Kelli Talaska · 2008
Cited alongside, same era.
Cluster ensembles, quantization and the dilogarithm
Vladimir V. Fock and Alexander B. Goncharov · 2009
Cited alongside, same era.
Positroid varieties I: juggling and geometry
Dimers and cluster integrable systems
Alexander B. Goncharov and Richard Kenyon · 2013
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Positroid varieties: juggling and geometry
Allen Knutson, Thomas Lam, and David E. Speyer · 2013
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Canonical bases for cluster algebras
Mark Gross, Paul Hacking, Sean Keel, and Maxim Kontsevich · 2014
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Cluster structures on strata of flag varieties
Bernard Leclerc · 2014
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Cluster algebras of grassmannians are locally acyclic
Greg Muller and David E Speyer · 2014
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Links in the complex of weakly separated collections
SuHo Oh and David E Speyer · 2014
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Allen Knutson, Thomas Lam, and David E Speyer · 2009
Cited alongside, same era.
Matching polytopes, toric geometry, and the totally non-negative Grassmannian
Alexander Postnikov, David Speyer, and Lauren Williams · 2009
Cited alongside, same era.
A graph theoretic expansion formula for cluster algebras of classical type
Gregg Musiker · 2011
Cited alongside, same era.
Positroids and Schubert matroids
Suho Oh · 2011
Cited alongside, same era.
Combinatorial formulas for Γ \Gamma -coordinates in a totally nonnegative Grassmannian
Kelli Talaska · 2011
Cited alongside, same era.
Scattering amplitudes and the positive grassmannian
Nima Arkani-Hamed, Jacob L. Bourjaily, Freddy Cachazo, Alexander B. Goncharov, Alexander Postnikov, and Jaroslav Trnka · 2012
Cited alongside, same era.
Quasi-homomorphisms of cluster algebras
Chris Fraser · 2015
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Mirror symmetry for log Calabi-Yau surfaces I
Mark Gross, Paul Hacking, and Sean Keel · 2015
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Weak separation and plabic graphs
Suho Oh, Alexander Postnikov, and David E. Speyer · 2015
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Variations on a theme of Kasteleyn, with application to the totally nonnegative grassmannian
David E. Speyer · 2015
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Totally nonnegative Grassmannian and Grassmann polytopes
Thomas Lam · 2016
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Twists of Plücker coordinates as dimer partition functions
R. J. Marsh and J. S. Scott · 2016
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