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Rectilinear planar layouts and bipolar orientations of 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/10.1007/3-540-16078-7_71openalex-snapshot
Algorithms for visibility representations of planar graphs
inferredcites →https://doi.org/10.1007/bf02253293openalex-snapshot
st-Ordering the vertices of biconnected graphs
inferredcites →https://doi.org/10.1016/0012-365x(83)90128-0openalex-snapshot
Representing a planar graph by vertical lines joining different levels
inferredcites →https://doi.org/10.1016/0304-3975(76)90086-4openalex-snapshot
Computing an st-numbering
inferredcites →https://doi.org/10.1016/s0022-0000(76)80045-1openalex-snapshot
Testing for the consecutive ones property, interval graphs, and graph planarity using PQ-tree algorithms
inferredcites →https://doi.org/10.1049/ip-i-1.1981.0010openalex-snapshot
Introduction to V.L.S.I. Systems
inferredcites →https://doi.org/10.1111/j.1749-6632.1989.tb22470.xopenalex-snapshot
Embedding in the Plane With Orientation Constraints: The Angle Graph
inferredcites →https://doi.org/10.1112/plms/s3-13.1.743openalex-snapshot
How to Draw a Graph
inferredcites →https://doi.org/10.1137/0203006openalex-snapshot
Finding Dominators in Directed Graphs
inferredcites →https://doi.org/10.1145/321850.321852openalex-snapshot
Efficient Planarity Testing
inferredcites →https://doi.org/10.1145/800031.808596openalex-snapshot
A system for algorithm animation
inferredcites →https://doi.org/10.3233/fi-1986-9105openalex-snapshot
Two Streamlined Depth-First Search Algorithms

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Experimental studies on graph drawing algorithms
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Algorithmic Basis for Pathway Visualization
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Partitioning Perfect Graphs into Stars
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Good acyclic orientations of 4‐regular 4‐connected graphs
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On-line Planar Graph Embedding
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On Stable Cutsets in Claw-Free Graphs and Planar Graphs
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Applications of Parameterized st-Orientations in Graph Drawing Algorithms
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An Application of Well-Orderly Trees in Graph Drawing
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A New Method for Efficiently Generating Planar Graph Visibility Representations
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Bar k-Visibility Graphs: Bounds on the Number of Edges, Chromatic Number, and Thickness
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Nearly Optimal Visibility Representations of Plane Graphs
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A dynamic data structure for planar graph embedding
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Simultaneous Embedding of a Planar Graph and Its Dual on the Grid
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Optimal Area Algorithm for Planar Polyline Drawings
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Improved Compact Visibility Representation of Planar Graph via Schnyder’s Realizer
inferred← citeshttps://doi.org/10.1007/3-540-36494-3_4openalex-snapshot
Rectangle Visibility Graphs: Characterization, Construction, and Compaction
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On Improving Orthogonal Drawings: The 4M-Algorithm
inferred← citeshttps://doi.org/10.1007/3-540-44969-8_11openalex-snapshot
Software Packages
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Wagner’s Theorem on Realizers
inferred← citeshttps://doi.org/10.1007/3-540-45848-4_52openalex-snapshot
AGD: A Library of Algorithms for Graph Drawing
inferred← citeshttps://doi.org/10.1007/3-540-45875-1_24openalex-snapshot
Graph Drawing Algorithm Engineering with AGD
inferred← citeshttps://doi.org/10.1007/3-540-46648-7_7openalex-snapshot
Level Planar Embedding in Linear Time
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The Reduced Genus of a Multigraph
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Testing approximate symmetry in the plane is NP-hard
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Weighted visibility graphs of bars and related flow problems
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On feedback problems in planar digraphs
inferred← citeshttps://doi.org/10.1007/3-540-54967-6_78openalex-snapshot
Contracting planar graphs efficiently in parallel
inferred← citeshttps://doi.org/10.1007/3-540-57811-0_2openalex-snapshot
Advances in graph drawing
inferred← citeshttps://doi.org/10.1007/3-540-57899-4_69openalex-snapshot
Two algorithms for finding rectangular duals of planar graphs
inferred← citeshttps://doi.org/10.1007/3-540-57899-4_70openalex-snapshot
A more compact visibility representation
inferred← citeshttps://doi.org/10.1007/3-540-58078-6_19openalex-snapshot
The minimum broadcast time problem
inferred← citeshttps://doi.org/10.1007/3-540-58218-5_8openalex-snapshot
On triangulating planar graphs under the four-connectivity constraint
inferred← citeshttps://doi.org/10.1007/3-540-58950-3_357openalex-snapshot
Grid layouts of block diagrams — bounding the number of bends in each connection (extended abstract)
inferred← citeshttps://doi.org/10.1007/3-540-58950-3_360openalex-snapshot
Regular edge labelings and drawings of planar graphs
inferred← citeshttps://doi.org/10.1007/3-540-62495-3_35openalex-snapshot
On rectangle visibility graphs
inferred← citeshttps://doi.org/10.1007/3-540-62495-3_39openalex-snapshot
Drawing directed acyclic graphs: An experimental study
inferred← citeshttps://doi.org/10.1007/3-540-62495-3_45openalex-snapshot
2-Visibility drawings of planar graphs
inferred← citeshttps://doi.org/10.1007/3-540-63307-3_74openalex-snapshot
Orthogonal drawing of high degree graphs with small area and few bends
inferred← citeshttps://doi.org/10.1007/3-540-63397-9_4openalex-snapshot
Area-efficient static and incremental graph drawings
inferred← citeshttps://doi.org/10.1007/3-540-63938-1_58openalex-snapshot
Drawing clustered graphs on an orthogonal grid
inferred← citeshttps://doi.org/10.1007/3-540-63938-1_84openalex-snapshot
The three-phase method: A unified approach to orthogonal graph drawing
inferred← citeshttps://doi.org/10.1007/978-1-4614-0110-0_12openalex-snapshot
Rectangle and Square Representations of Planar Graphs
inferred← citeshttps://doi.org/10.1007/978-1-4615-0487-0_8openalex-snapshot
Process Synthesis
inferred← citeshttps://doi.org/10.1007/978-3-030-00256-5_9openalex-snapshot
Tight Lower Bounds for the Number of Inclusion-Minimal st-Cuts
inferred← citeshttps://doi.org/10.1007/978-3-030-04414-5_36openalex-snapshot
Orthogonal and Smooth Orthogonal Layouts of 1-Planar Graphs with Low Edge Complexity
inferred← citeshttps://doi.org/10.1007/978-3-030-35802-0_36openalex-snapshot
Homotopy Height, Grid-Major Height and Graph-Drawing Height
inferred← citeshttps://doi.org/10.1007/978-3-030-58150-3_9openalex-snapshot
Path-Monotonic Upward Drawings of Graphs
inferred← citeshttps://doi.org/10.1007/978-3-030-60440-0_13openalex-snapshot
Plattenbauten: Touching Rectangles in Space
inferred← citeshttps://doi.org/10.1007/978-3-030-60440-0_27openalex-snapshot
Bitonic st-Orderings for Upward Planar Graphs: The Variable Embedding Setting
inferred← citeshttps://doi.org/10.1007/978-3-030-92931-2_12openalex-snapshot
Planar Straight-Line Realizations of 2-Trees with Prescribed Edge Lengths
inferred← citeshttps://doi.org/10.1007/978-3-030-92931-2_21openalex-snapshot
Optimal-Area Visibility Representations of Outer-1-Plane Graphs
inferred← citeshttps://doi.org/10.1007/978-3-031-22203-0_15openalex-snapshot
st-Orientations with Few Transitive Edges
inferred← citeshttps://doi.org/10.1007/978-3-031-22203-0_29openalex-snapshot
Visibility Representations of Toroidal and Klein-bottle Graphs
inferred← citeshttps://doi.org/10.1007/978-3-032-11835-6_31openalex-snapshot
On Plane Cycles in Geometric Multipartite Graphs
inferred← citeshttps://doi.org/10.1007/978-3-032-17801-5_36openalex-snapshot
Face-Hitting Dominating Sets in Plane Graphs: Alternative Proof and Linear-Time Algorithm
inferred← citeshttps://doi.org/10.1007/978-3-319-15612-5_22openalex-snapshot
On Bar (1,j)-Visibility Graphs
inferred← citeshttps://doi.org/10.1007/978-3-319-21840-3_2openalex-snapshot
Contact Representations of Graphs in 3D
inferred← citeshttps://doi.org/10.1007/978-3-319-27261-0_13openalex-snapshot
Small-Area Orthogonal Drawings of 3-Connected Graphs
inferred← citeshttps://doi.org/10.1007/978-3-319-27261-0_45openalex-snapshot
L-Visibility Drawings of IC-Planar Graphs
inferred← citeshttps://doi.org/10.1007/978-3-319-29604-3_7openalex-snapshot
Space-Efficient Planar Acyclicity Constraints
inferred← citeshttps://doi.org/10.1007/978-3-319-30139-6_8openalex-snapshot
On Aligned Bar 1-Visibility Graphs
inferred← citeshttps://doi.org/10.1007/978-3-319-50106-2_10openalex-snapshot
1-Bend Upward Planar Drawings of SP-Digraphs
inferred← citeshttps://doi.org/10.1007/978-3-319-50106-2_20openalex-snapshot
Visibility Representations of Boxes in 2.5 Dimensions
inferred← citeshttps://doi.org/10.1007/978-3-319-50106-2_22openalex-snapshot
Ortho-Polygon Visibility Representations of Embedded Graphs
inferred← citeshttps://doi.org/10.1007/978-3-319-73915-1_7openalex-snapshot
Grid-Obstacle Representations with Connections to Staircase Guarding
inferred← citeshttps://doi.org/10.1007/978-3-319-73915-1_9openalex-snapshot
3D Visibility Representations of 1-planar Graphs
inferred← citeshttps://doi.org/10.1007/978-3-540-24595-7_55openalex-snapshot
Selected Open Problems in Graph Drawing
inferred← citeshttps://doi.org/10.1007/978-3-540-24749-4_42openalex-snapshot
On Visibility Representation of Plane Graphs
inferred← citeshttps://doi.org/10.1007/978-3-540-31843-9_13openalex-snapshot
Unit Bar-Visibility Layouts of Triangulated Polygons
inferred← citeshttps://doi.org/10.1007/978-3-540-31843-9_43openalex-snapshot
New Theoretical Bounds of Visibility Representation of Plane Graphs
inferred← citeshttps://doi.org/10.1007/978-3-540-31843-9_8openalex-snapshot
Convex Drawings of 3-Connected Plane Graphs
inferred← citeshttps://doi.org/10.1007/978-3-540-45078-8_14openalex-snapshot
The One-Round Voronoi Game Replayed
inferred← citeshttps://doi.org/10.1007/978-3-540-45078-8_43openalex-snapshot
Compact Visibility Representation and Straight-Line Grid Embedding of Plane Graphs
inferred← citeshttps://doi.org/10.1007/978-3-540-68880-8_29openalex-snapshot
On Representation of Planar Graphs by Segments
inferred← citeshttps://doi.org/10.1007/978-3-540-70904-6_22openalex-snapshot
Parameterized st-Orientations of Graphs: Algorithms and Experiments
inferred← citeshttps://doi.org/10.1007/978-3-540-72870-2_28openalex-snapshot
Optimal st-Orientations for Plane Triangulations
inferred← citeshttps://doi.org/10.1007/978-3-540-77120-3_16openalex-snapshot
Width-Optimal Visibility Representations of Plane Graphs
inferred← citeshttps://doi.org/10.1007/978-3-540-77537-9_15openalex-snapshot
Representation of Planar Hypergraphs by Contacts of Triangles
inferred← citeshttps://doi.org/10.1007/978-3-642-00219-9_8openalex-snapshot
Visibility Representations of Four-Connected Plane Graphs with Near Optimal Heights
inferred← citeshttps://doi.org/10.1007/978-3-642-02158-9_12openalex-snapshot
Three Results on Frequency Assignment in Linear Cellular Networks
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NP-Completeness of st-Orientations for Plane Graphs
inferred← citeshttps://doi.org/10.1007/978-3-642-10631-6_41openalex-snapshot
Minimum Covering with Travel Cost
inferred← citeshttps://doi.org/10.1007/978-3-642-11805-0_11openalex-snapshot
Upward Planarization Layout
inferred← citeshttps://doi.org/10.1007/978-3-642-13562-0_37openalex-snapshot
Closed Rectangle-of-Influence Drawings for Irreducible Triangulations
inferred← citeshttps://doi.org/10.1007/978-3-642-17458-2_28openalex-snapshot
Compact Visibility Representation of 4-Connected Plane Graphs
inferred← citeshttps://doi.org/10.1007/978-3-642-17514-5_37openalex-snapshot
Connectivity Graphs of Uncertainty Regions
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On Graphs Supported by Line Sets
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AGD — A Library of Algorithms for Graph Drawing
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Planar Graphs as VPG-Graphs
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On the Characterization of Plane Bus Graphs
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Equilateral L-Contact Graphs
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Domino Tatami Covering Is NP-Complete
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Star Partitions of Perfect Graphs
inferred← citeshttps://doi.org/10.1007/978-3-662-45803-7_32openalex-snapshot
Height-Preserving Transformations of Planar Graph Drawings
inferred← citeshttps://doi.org/10.1007/978-3-662-53174-7_18openalex-snapshot
Simultaneous Visibility Representations of Plane st-graphs Using L-shapes
inferred← citeshttps://doi.org/10.1007/978-981-15-6533-5_6openalex-snapshot
Edge Partitions and Visibility Representations of 1-planar Graphs
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Representations of graphs and networks (coding, layouts and embeddings)
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An efficient parallel algorithm for finding rectangular duals of plane triangular graphs
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Multilayer grid embeddings for VLSI
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A theory of rectangular dual graphs
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Dynamic maintenance of planar digraphs, with applications
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The complexity of detecting crossingfree configurations in the plane
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Drawing Planar Graphs Using the Canonical Ordering
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How to draw a planar graph on a grid
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A unified approach to visibility representations of planar graphs
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Area requirement and symmetry display of planar upward drawings
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A left-first search algorithm for planar graphs
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On the net-embeddability of graphs
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New lower bounds for orthogonal graph drawings
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Drawing high degree graphs with low bend numbers
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Grid embedding of 4-connected plane graphs
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Grid intersection and box intersection graphs on surfaces
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Planar drawings and angular resolution: Algorithms and bounds
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A better heuristic for orthogonal graph drawings
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Approximation of geometric dispersion problems
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Grid Embedding of 4-Connected Plane Graphs
inferred← citeshttps://doi.org/10.1007/s00224-005-1143-4openalex-snapshot
Simultaneous Embedding of a Planar Graph and Its Dual on the Grid
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Approximation of Geometric Dispersion Problems
inferred← citeshttps://doi.org/10.1007/s00453-006-0177-6openalex-snapshot
Convex Drawings of 3-Connected Plane Graphs
inferred← citeshttps://doi.org/10.1007/s00453-010-9433-xopenalex-snapshot
Colored Simultaneous Geometric Embeddings and Universal Pointsets
inferred← citeshttps://doi.org/10.1007/s00453-016-0191-2openalex-snapshot
Connectivity Graphs of Uncertainty Regions
inferred← citeshttps://doi.org/10.1007/s00453-017-0321-5openalex-snapshot
Planar Bus Graphs
inferred← citeshttps://doi.org/10.1007/s00453-020-00714-6openalex-snapshot
Upward Planar Morphs
inferred← citeshttps://doi.org/10.1007/s00453-023-01111-5openalex-snapshot
Bitonic st-Orderings for Upward Planar Graphs: Splits and Bends in the Variable Embedding Scenario
inferred← citeshttps://doi.org/10.1007/s004539910006openalex-snapshot
Efficient Orthogonal Drawings of High Degree Graphs
inferred← citeshttps://doi.org/10.1007/s00454-004-1154-yopenalex-snapshot
Canonical Ordering Trees and Their Applications in Graph Drawing
inferred← citeshttps://doi.org/10.1007/s00454-012-9464-yopenalex-snapshot
A Center Transversal Theorem for Hyperplanes and Applications to Graph Drawing
inferred← citeshttps://doi.org/10.1007/s00454-017-9939-yopenalex-snapshot
Embedding-Preserving Rectangle Visibility Representations of Nonplanar Graphs
inferred← citeshttps://doi.org/10.1007/s10878-007-9119-8openalex-snapshot
Optimal st-orientations for plane triangulations
inferred← citeshttps://doi.org/10.1007/s10878-010-9303-0openalex-snapshot
Minimum covering with travel cost
inferred← citeshttps://doi.org/10.1007/s10958-012-0908-yopenalex-snapshot
Special graph representation and visualization of semantic networks
inferred← citeshttps://doi.org/10.1016/0012-365x(93)90124-copenalex-snapshot
Reconstructing sets of orthogonal line segments in the plane
inferred← citeshttps://doi.org/10.1016/0020-0190(92)90022-nopenalex-snapshot
Drawing the planar dual
inferred← citeshttps://doi.org/10.1016/0020-0190(92)90072-4openalex-snapshot
Constrained visibility representations of graphs
inferred← citeshttps://doi.org/10.1016/0020-0190(95)00020-dopenalex-snapshot
A linear-time algorithm for drawing a planar graph on a grid
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Some results on visibility graphs
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Bipolar orientations revisited
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Generalized planar matching
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Algorithms for plane representations of acyclic digraphs
inferred← citeshttps://doi.org/10.1016/0304-3975(91)90389-jopenalex-snapshot
Testing approximate symmetry in the plane is NP-hard
inferred← citeshttps://doi.org/10.1016/0304-3975(92)90349-kopenalex-snapshot
Constructing compact rectiliner planar layouts using canonical representation of planar graphs
inferred← citeshttps://doi.org/10.1016/0304-3975(94)00230-gopenalex-snapshot
The minimum broadcast time problem for several processor networks
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Geometric three-dimensional assignment problems
inferred← citeshttps://doi.org/10.1016/0925-7721(92)90019-oopenalex-snapshot
Detecting and decomposing self-overlapping curves
inferred← citeshttps://doi.org/10.1016/0925-7721(93)90003-oopenalex-snapshot
One strike against the min-max degree triangulation problem
inferred← citeshttps://doi.org/10.1016/0925-7721(94)00014-xopenalex-snapshot
Algorithms for drawing graphs: an annotated bibliography
inferred← citeshttps://doi.org/10.1016/0925-7721(95)00017-8openalex-snapshot
Determining bar-representability for ordered weighted graphs
inferred← citeshttps://doi.org/10.1016/b978-044482537-7/50022-xopenalex-snapshot
Graph Drawing**Work supported in part by the National Science Foundation under grant CCR-9732327, and by the U.S. Army Research Office under grant DAAH04-96-1-0013.
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The one-round Voronoi game replayed
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Improved visibility representation of plane graphs
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Not being (super)thin or solid is hard: A study of grid Hamiltonicity
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Visibility representations of four-connected plane graphs with near optimal heights
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Closed rectangle-of-influence drawings for irreducible triangulations
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T-shape visibility representations of 1-planar graphs
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Visibility representations of boxes in 2.5 dimensions
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Colored anchored visibility representations in 2D and 3D space
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1-bend upward planar slope number of SP-digraphs
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An annotated bibliography on 1-planarity
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Balanced vertex-orderings of graphs
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Degree-truncated choice number of planar graphs
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Testing the planar straight-line realizability of 2-trees with prescribed edge lengths
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Visibility representation of plane graphs via canonical ordering tree
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On simultaneous straight-line grid embedding of a planar graph and its dual
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L-visibility drawings of IC-planar graphs
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3-coloring arrangements of line segments with 4 slopes is hard
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Bijections for Baxter families and related objects
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Skyscraper polytopes and realizations of plane triangulations
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On stable cutsets in claw-free graphs and planar graphs
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Space-efficient acyclicity constraints: A declarative pearl
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Algorithms for computing a parameterized st-orientation
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Three results on frequency assignment in linear cellular networks
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NP-Completeness of st -orientations for plane graphs
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Compact visibility representation of 4-connected plane graphs
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Base-object location problems for base-monotone regions
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On the number of upward planar orientations of maximal planar graphs
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Good spanning trees in graph drawing
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Simultaneous visibility representations of plane st-graphs using L-shapes
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On 3D visibility representations of graphs with few crossings per edge
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Area requirement of visibility representations of trees
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Regular edge labeling of 4-connected plane graphs and its applications in graph drawing problems
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The DFS-heuristic for orthogonal graph drawing☆☆Some of these result were published in the author's PhD thesis at Rutgers University; the author would like to thank her advisor, Prof. Endre Boros, for much helpful input. The results in Section 5 have been presented at the 8th Canadian Conference…
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An experimental comparison of four graph drawing algorithms
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A better heuristic for orthogonal graph drawings
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Orthogonal Drawings Based On The Stratification Of Planar Graphs
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On Triangle Contact Graphs
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Constraints in Graph Drawing Algorithms
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Convex Drawings of Planar Graphs and the Order Dimension of 3-Polytopes
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Algorithms for Drawing Planar p-petal Graphs
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Automatic graph drawing and readability of diagrams
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Planar embedding: linear-time algorithms for vertex placement and edge orderings
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Planar grid embedding in linear time
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Parametric graph drawing
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Process compilation of thin film microdevices
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Drawing graphs in the plane with high resolution
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Planar orthogonal drawings of graphs
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A graph drawing algorithm for spherical pictures
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Drawing planar graphs using the lmc-ordering
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Finding double Euler trails of planar graphs in linear time [CMOS VLSI circuit design]
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Automatic Mesh Generation for Mobile Network Dimensioning Using Evolutionary Approach
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On Identity Disclosure Control for Hypergraph-Based Data Publishing
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