Journal of the ACM (JACM)
Computational Aspects of VLSI
Slimming down search structures: A functional approach to algorithm design
SFCS '85 Proceedings of the 26th Annual Symposium on Foundations of Computer Science
Universality considerations in VLSI circuits
IEEE Transactions on Computers
Optimal parallel algorithms for transitive closure and point location in planar structures
SPAA '89 Proceedings of the first annual ACM symposium on Parallel algorithms and architectures
Detecting and decomposing self-overlapping curves
SCG '89 Proceedings of the fifth annual symposium on Computational geometry
Area requirement and symmetry display in drawing graphs
SCG '89 Proceedings of the fifth annual symposium on Computational geometry
O(nlog log n)-work parallel algorithms for straight-line grid embeddings of planar graphs
SPAA '92 Proceedings of the fourth annual ACM symposium on Parallel algorithms and architectures
Area-efficient upward tree drawings
SCG '93 Proceedings of the ninth annual symposium on Computational geometry
Angles of planar triangular graphs
STOC '93 Proceedings of the twenty-fifth annual ACM symposium on Theory of computing
Randomized graph drawing with heavy-duty preprocessing
AVI '94 Proceedings of the workshop on Advanced visual interfaces
An experimental comparison of three graph drawing algorithms (extended abstract)
Proceedings of the eleventh annual symposium on Computational geometry
Convex drawings of graphs in two and three dimensions (preliminary version)
Proceedings of the twelfth annual symposium on Computational geometry
Disk packings and planar separators
Proceedings of the twelfth annual symposium on Computational geometry
Separators for sphere-packings and nearest neighbor graphs
Journal of the ACM (JACM)
Embedding planar graphs on the grid
SODA '90 Proceedings of the first annual ACM-SIAM symposium on Discrete algorithms
IEEE Transactions on Software Engineering
Balanced Aspect Ratio Trees and Their Use for Drawing Very Large Graphs
GD '98 Proceedings of the 6th International Symposium on Graph Drawing
Drawing Outer-Planar Graphs in O(n log n) Area
GD '02 Revised Papers from the 10th International Symposium on Graph Drawing
Simple and efficient floor-planning
Information Processing Letters
A 1.235 lower bound on the number of points needed to draw all n-vertex planar graphs
Information Processing Letters
On simultaneous straight-line grid embedding of a planar graph and its dual
Information Processing Letters
Greedy drawings of triangulations
Proceedings of the nineteenth annual ACM-SIAM symposium on Discrete algorithms
A near-linear time algorithm for computing replacement paths in planar directed graphs
Proceedings of the nineteenth annual ACM-SIAM symposium on Discrete algorithms
Representation of planar hypergraphs by contacts of triangles
GD'07 Proceedings of the 15th international conference on Graph drawing
A near-linear-time algorithm for computing replacement paths in planar directed graphs
ACM Transactions on Algorithms (TALG)
An automatic layout algorithm for BPEL processes
Proceedings of the 5th international symposium on Software visualization
GD'10 Proceedings of the 18th international conference on Graph drawing
A center transversal theorem for hyperplanes and applications to graph drawing
Proceedings of the twenty-seventh annual symposium on Computational geometry
Visual change tracking for business process models
ER'11 Proceedings of the 30th international conference on Conceptual modeling
Optimal polygonal representation of planar graphs
LATIN'10 Proceedings of the 9th Latin American conference on Theoretical Informatics
Planar straight-line drawing in an O(n)×O(n) grid with angular resolution Ω(1/n)
SOFSEM'05 Proceedings of the 31st international conference on Theory and Practice of Computer Science
Convex drawings of 3-connected plane graphs
GD'04 Proceedings of the 12th international conference on Graph Drawing
On the complexity of network synchronization
ISAAC'04 Proceedings of the 15th international conference on Algorithms and Computation
GD'09 Proceedings of the 17th international conference on Graph Drawing
Small drawings of series-parallel graphs and other subclasses of planar graphs
GD'09 Proceedings of the 17th international conference on Graph Drawing
Minimum-width grid drawings of plane graphs
Computational Geometry: Theory and Applications
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Answering a question of Rosenstiehl and Tarjan, we show that every plane graph with n vertices has a Fáry embedding (i.e., straight-line embedding) on the 2n - 4 by n - 2 grid and provide an &Ogr;(n) space, &Ogr;(n log n) time algorithm to effect this embedding. The grid size is asymptotically optimal and it had been previously unknown whether one can always find a polynomial sized grid to support such an embedding. On the other hand we show that any set F, which can support a Fáry embedding of every planar graph of size n, has cardinality at least n + (1 - &ogr;(1)) √n which settles a problem of Mohar.