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Lattice Structures from Planar Graphs
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1002/(sici)1098-2418(199608/09)9:1/2<223::aid-rsa14>3.0.co;2-oopenalex-snapshot
Exact sampling with coupled Markov chains and applications to statistical mechanics
inferredcites →https://doi.org/10.1007/bf00390104openalex-snapshot
On reorienting graphs by pushing down maximal vertices
inferredcites →https://doi.org/10.1016/s0012-365x(00)00201-6openalex-snapshot
On topological aspects of orientations
inferredcites →https://doi.org/10.1023/a:1010604726900openalex-snapshot
Convex Drawings of Planar Graphs and the Order Dimension of 3-Polytopes
inferredcites →https://doi.org/10.1023/a:1024483217354openalex-snapshot
A Distributive Lattice on the Set of Perfect Matchings of a Plane Bipartite Graph
inferredcites →https://doi.org/10.1023/b:orde.0000009251.68514.8bopenalex-snapshot
Geodesic Embeddings and Planar Graphs
inferredcites →https://doi.org/10.1137/0406038openalex-snapshot
The Lattice Structure of Flow in Planar Graphs
inferredcites →https://doi.org/10.18910/3828openalex-snapshot
The duality conjecture in formal knot theory
inferredcites →https://doi.org/10.37236/1330openalex-snapshot
Generating Random Elements of Finite Distributive Lattices
inferredcites →https://doi.org/10.37236/9474openalex-snapshot
Lattice Structure for Orientations of Graphs
inferredcites →https://doi.org/10.4171/dm/117openalex-snapshot
Planar graphs as minimal resolutions of trivariate monomial ideals
inferredcites →https://doi.org/10.5555/320176.320191openalex-snapshot
Embedding planar graphs on the grid
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Transversal Structures on Triangulations, with Application to Straight-Line Drawing
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Rectangle and Square Representations of Planar Graphs
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Equiangular Polygon Contact Representations
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Flip Distances Between Graph Orientations
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Balanced Schnyder Woods for Planar Triangulations: An Experimental Study with Applications to Graph Drawing and Graph Separators
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Plattenbauten: Touching Rectangles in Space
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Aspect Ratio Universal Rectangular Layouts
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Manipulating Weights to Improve Stress-Graph Drawings of 3-Connected Planar Graphs
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Convex Drawings of 3-Connected Plane Graphs
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On the Number of α-Orientations
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Regular Labelings and Geometric Structures
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Triangle Contact Representations and Duality
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Center Stable Matchings and Centers of Cover Graphs of Distributive Lattices
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Degree-Constrained Orientations of Embedded Graphs
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Equilateral L-Contact Graphs
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Efficient Enumeration of Drawings and Combinatorial Structures for Maximal Planar Graphs
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Resonance Graphs on Perfect Matchings of Graphs on Surfaces
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Optimal Coding and Sampling of Triangulations
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Convex Drawings of 3-Connected Plane Graphs
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Schnyder Decompositions for Regular Plane Graphs and Application to Drawing
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A Connection Between Sports and Matroids: How Many Teams Can We Beat?
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Schnyder Woods for Higher Genus Triangulated Surfaces, with Applications to Encoding
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Triangle Contact Representations and Duality
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Toroidal Maps: Schnyder Woods, Orthogonal Surfaces and Straight-Line Representations
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Encoding Toroidal Triangulations
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Straight Line Triangle Representations
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Morphing Schnyder Drawings of Planar Triangulations
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Morphing Triangle Contact Representations of Triangulations
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Distance Between α-Orientations of Plane Graphs by Facial Cycle Reversals
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Distance Between α-Orientations of Plane Graphs by Facial Cycle Reversals
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Degree-constrained orientations of embedded graphs
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Orthogonal Surfaces and Their CP-Orders
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Cluster Algebras and Binary Subwords
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Maps of unfixed genus and blossoming trees
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Flips on homologous orientations of surface graphs with prescribed forbidden facial cycles
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Decomposition theorem on matchable distributive lattices
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Eccentricity, center and radius computations on the cover graphs of distributive lattices with applications to stable matchings
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Transversal structures on triangulations: A combinatorial study and straight-line drawings
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Non-matchable distributive lattices
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Structural parameters of Schnyder woods
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Distributive lattices, polyhedra, and generalized flows
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On symmetric quadrangulations and triangulations
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Cluster algebraic interpretation of infinite friezes
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A bijection for essentially 3-connected toroidal maps
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Bijections for generalized Tamari intervals via orientations
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On the enumeration of plane bipolar posets and transversal structures
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Pentagon Contact Representations
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A bijection for triangulations, quadrangulations, pentagulations, etc.
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Geometric bijections between spanning trees and break divisors
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Sampling Eulerian orientations of triangular lattice graphs
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Combinatorial and Geometric Properties of Planar Laman Graphs
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Area-Universal and Constrained Rectangular Layouts
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Plattenbauten: Touching Rectangles in Space
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Dissections, orientations, and trees with applications to optimal mesh encoding and random sampling
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Schnyder woods for higher genus triangulated surfaces
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Geometric and Combinatorial Structures on Graphs
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Geometric Representations of Graphs with Low Polygonal Complexity
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Network flows and network design in theory and practice
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On Balanced Planar Graphs, Following W. Thurston
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On diamond-free subposets of the Boolean lattice: An application of flag algebras
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A Generic Method for Bijections between Blossoming Trees and Planar Maps
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A Bijection for Essentially 4-Connected Toroidal Triangulations
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On the Number of Planar Orientations with Prescribed Degrees
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Tutte Polynomial, Subgraphs, Orientations and Sandpile Model: New Connections via Embeddings
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Unified bijections for planar hypermaps with general cycle-length constraints
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Mixing Times of Markov Chains on Degree Constrained Orientations of Planar Graphs
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ULD-Lattices and Delta-Bonds
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Distributive Lattices, Polyhedra, and Generalized Flow
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Schnyder decompositions for regular plane graphs and application to drawing
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On symmetric quadrangulations and triangulations
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Equilateral L-Contact Graphs
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Trees and co-trees with constant maximum degree in planar 3-connected graphs
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Straight Line Triangle Representations
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Flip-distance between α-orientations of graphs embedded on plane and sphere
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Morphing Contact Representations of Graphs
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Planar maps and random partitions
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Pentagon contact representations
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Flips on homologous orientations of surface graphs with prescribed forbidden facial circuits
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Transversal structures on triangulations: a combinatorial study and straight-line drawings
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Output-sensitive algorithms for enumeration problems in graphs
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Planar graphs : non-aligned drawings, power domination and enumeration of Eulerian orientations
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Blossoming bijections, multitriangulations : What about other surfaces?
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Straight-Line Triangle Representations via Schnyder Labelings
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