Results 21 to 30 of about 5,325,408 (241)
Minimum-Area Drawings of Plane 3-Trees
Journal of Graph Algorithms and Applications, 2011 A straight-line grid drawing of a plane graph G is a planar drawing of G, where each vertex is drawn at a grid point of an integer grid and each edge is drawn as a straight-line segment.
Debajyoti Mondal +3 more
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Orthogonal-Ordering Constraints are Tough
Journal of Graph Algorithms and Applications, 2013 We show that rectilinear graph drawing, the core problem of bend-minimum orthogonal graph drawing, and uniform edge-length drawing, the core problem of force-directed placement, are NP-hard even for embedded paths if subjected to orthogonal ...
Ulrik Brandes, Barbara Pampel
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A Note on Minimum-Segment Drawings of Planar Graphs
Journal of Graph Algorithms and Applications, 2013 A straight-line drawing of a planar graph G is a planar drawing of G such that each vertex is mapped to a point on the Euclidean plane, each edge is drawn as a straight line segment, and no two edges intersect except possibly at a common endpoint ...
Stephane Durocher +3 more
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Straight-Line Grid Drawings of Label-Constrained Outerplanar Graphs with O(n log n) Area
Journal of Graph Algorithms and Applications, 2011 A straight-line grid drawing of a planar graph G is a drawing of G on an integer grid such that each vertex is drawn as a grid point and each edge is drawn as a straight-line segment without edge crossings.
Md. Rezaul Karim +2 more
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On a Class of Planar Graphs with Straight-Line Grid Drawings on Linear Area
Journal of Graph Algorithms and Applications, 2009 A straight-line grid drawing of a planar graph G is a drawing of G on an integer grid such that each vertex is drawn as a grid point and each edge is drawn as a straight-line segment without edge crossings.
Md. Rezaul Karim, Md. Saidur Rahman
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The Straight-Line RAC Drawing Problem is NP-Hard
Journal of Graph Algorithms and Applications, 2012 A RAC drawing of a graph is a polyline drawing in which every pair of crossing edges intersects at right angle. In this paper, we focus on straight-line RAC drawings and demonstrate an infinite class of graphs with unique RAC combinatorial embedding.
Evmorfia Argyriou +2 more
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Drawing planar graphs with many collinear vertices
Journal of Computational Geometry, 2018 Consider the following problem: Given a planar graph $G$, what is the maximum number $p$ such that $G$ has a planar straight-line drawing with $p$ collinear vertices?
Giordano Da Lozzo +4 more
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Pole Dancing: 3D Morphs for Tree Drawings
Journal of Graph Algorithms and Applications, 2019 We study the question whether a crossing-free 3D morph between two straight-line drawings of an $n$-vertex tree $T$ can be constructed consisting of a small number of linear morphing steps. We look both at the case in which the two given drawings are two-
Elena Arseneva +7 more
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On a Tree and a Path with no Geometric Simultaneous Embedding
Journal of Graph Algorithms and Applications, 2012 Two graphs G1=(V,E1) and G2=(V,E2) admit a geometric simultaneous embedding if there exist a set of points P and a bijection M: V→ P that induce planar straight-line embeddings both for G1 and for G2.
Patrizio Angelini +3 more
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On the planar edge-length ratio of planar graphs
Journal of Computational Geometry, 2020 The edge-length ratio of a straight-line drawing of a graph is the ratio between the lengths of the longest and of the shortest edge in the drawing. The planar edge-length ratio of a planar graph is the minimum edge-length ratio of any planar straight ...
Manuel Borrazzo, Fabrizio Frati
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