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Morphing Planar Graphs While Preserving Edge Directionse drawings of the transformation remain simple and parallel with . (and .)? We prove that a transformation can always be found in the case of orthogonal drawings; however, when edges are allowed to be in one of three or more slopes the problem becomes NP-hard.

牢骚

On Rectilinear Duals for Vertex-Weighted Plane Graphsn edge in .. A rectilinear dual is called a cartogram if the area of each region is equal to the weight of the corresponding vertex. We show that every vertex-weighted plane triangulated graph . admits a cartogram of constant complexity, that is, a cartogram where the number of vertices of each region is constant.

招致

绊住

Two Trees Which Are Self–intersecting When Drawn Simultaneouslyn simultaneously using straight lines and without crossings within the same edge set. In this paper, we negatively answer one of the most often posted open questions namely whether any two trees with the same vertex set can be drawn simultaneously crossing-free in a straight line way.

tooth-decay

Brian Henderson,David J. Kinahan,Jens Ducréerk set of graphs. The approach uses a new integer linear programming formulation of the problem combined with strong heuristics and problem reduction techniques. This enables us to compute the crossing number for 91 percent of all graphs on up to 40 nodes in the benchmark set within a time limit of five minutes per graph.

buoyant

Arthropathy

Exact Crossing Minimizationrk set of graphs. The approach uses a new integer linear programming formulation of the problem combined with strong heuristics and problem reduction techniques. This enables us to compute the crossing number for 91 percent of all graphs on up to 40 nodes in the benchmark set within a time limit of five minutes per graph.

Inflated

Small Area Drawings of Outerplanar Graphserplanar drawings of general outerplanar graphs with .(..) area. Further, we study the interplay between the area requirements of the drawings of an outerplanar graph and the area requirements of a special class of drawings of its dual tree.

GROG

https://doi.org/10.1007/978-981-33-4876-9e drawings of the transformation remain simple and parallel with . (and .)? We prove that a transformation can always be found in the case of orthogonal drawings; however, when edges are allowed to be in one of three or more slopes the problem becomes NP-hard.

顽固

Contact Information Microformat: Hcardn edge in .. A rectilinear dual is called a cartogram if the area of each region is equal to the weight of the corresponding vertex. We show that every vertex-weighted plane triangulated graph . admits a cartogram of constant complexity, that is, a cartogram where the number of vertices of each region is constant.