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In 1990, Schnyder used a 3-spanning-tree decomposition of a simple triangulation, now known as the Schnyder wood, to give a fundamental grid-embedding algorithm for planar maps.
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1948
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1967
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1969
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1981
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Walter Schnyder, Planar graphs and poset dimension
1989
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Hubert de Fraysseix, János Pach and Richard Pollack, How to draw a planar graph on a grid
1990
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Walter Schnyder, Embedding planar graphs on the grid
1990
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Oded Schramm, Scaling limits of loop-erased random walks and uniform spanning trees
2000
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Itai Benjamini and Oded Schramm, Recurrence of distributional limits of finite planar graphs
2001
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Stanislav Smirnov, Critical percolation in the plane: conformal invariance, Cardy’s formula, scaling limits
2001
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Sergei K. Lando and Alexander K. Zvonkin, Graphs on surfaces and their applications
2004
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Gregory F. Lawler, Oded Schramm and Wendelin Werner, On the scaling limit of planar self-avoiding walk
2004
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Gregory F. Lawler, Oded Schramm and Wendelin Werner, Conformal invariance of planar loop-erased random walks and uniform spanning trees
2004
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Roberto Tamassia (Ed.), Handbook of graph drawing and visualization
2004
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Jean François Le Gall, Random trees and applications
2005
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Olivier Bernardi, Bijective counting of tree-rooted maps and shuffles of parenthesis systems
2007
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Olivier Bernardi and Nicolas Bonichon, Intervals in Catalan lattices and realizers of triangulations
2008
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Stefan Felsner and Florian Zickfeld, Schnyder woods and orthogonal surfaces
2008
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Martin Loebl and Jean-Sébastien Sereni, Graph counting
2009
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Oded Schramm and Scott Sheffield, Contour lines of the two-dimensional discrete Gaussian free field
2009
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Stefan Felsner, Éric Fusy, Marc Noy and David Orden, Bijections for Baxter families and related objects
2010
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Gregory F. Lawler and Vlada Limic, Random walk: a modern introduction
2010
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Stanislav Smirnov, Conformal invariance in random cluster models. I. holmorphic fermions in the Ising model
2010
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Bertrand Duplantier and Scott Sheffield, Liouville quantum gravity and KPZ
2011
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Svante Janson, Tail bounds for sums of geometric and exponential variables
2017
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Richard Kenyon, Jason Miller, Scott Sheffield and David B. Wilson, The six-vertex model and Schramm-Loewner evolution
2017
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Jason Miller and Scott Sheffield, Imaginary geometry IV: interior rays, whole-plane reversibility, and space-filling trees
2017
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Xin Sun and Samuel S. Watson, The scaling limit of the Schnyder embedding and Liouville quantum gravity with γ = 1 \gamma=1
2017
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2018
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Olivier Bernardi and Éric Fusy, Schnyder decompositions for regular plane graphs and application to drawing
2012
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Dmitry Chelkak, Hugo Duminil-Copin, Clément Hongler, Antti Kemppainen and Stanislav Smirnov, Convergence of Ising interfaces to Schramm’s SLE curves
2013
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Giuseppe Di Battista and Fabrizio Frati, Drawing trees, outerplanar graphs, series-parallel graphs, and planar graphs in a small area
2013
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Jean François Le Gall, Uniqueness and universality of the Brownian map
2013
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2013
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