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SODA
1998
ACM
128views Algorithms» more  SODA 1998»
14 years 1 months ago
A Polynomial-Time Approximation Scheme for Weighted Planar Graph TSP
Given a planar graph on n nodes with costs weights on its edges, de ne the distance between nodes i and j as the length of the shortest path between i and j. Consider this as an i...
Sanjeev Arora, Michelangelo Grigni, David R. Karge...
SODA
2004
ACM
152views Algorithms» more  SODA 2004»
14 years 1 months ago
Approximation schemes for minimum 2-edge-connected and biconnected subgraphs in planar graphs
Given an undirected graph, finding either a minimum 2-edge-connected spanning subgraph or a minimum 2vertex-connected (biconnected) spanning subgraph is MaxSNP-hard. We show that ...
Artur Czumaj, Michelangelo Grigni, Papa Sissokho, ...
CCCG
2007
14 years 1 months ago
Pointed Drawings of Planar Graphs
We study the problem how to draw a planar graph such that every vertex is incident to an angle greater than π. In general a straightline embedding cannot guarantee this property....
Oswin Aichholzer, Günter Rote, André S...
ICALP
2000
Springer
14 years 4 months ago
Computing the Girth of a Planar Graph
We give an O(n log n) algorithm for computing the girth (shortest cycle) of an undirected n-vertex planar graph. Our solution extends to any graph of bounded genus. This improves u...
Hristo Djidjev
GECCO
2006
Springer
157views Optimization» more  GECCO 2006»
14 years 4 months ago
How randomized search heuristics find maximum cliques in planar graphs
Surprisingly, general search heuristics often solve combinatorial problems quite sufficiently, although they do not outperform specialized algorithms. Here, the behavior of simple...
Tobias Storch
GD
2006
Springer
14 years 4 months ago
Morphing Planar Graphs in Spherical Space
We consider the problem of intersection-free planar graph morphing, and in particular, a generalization from Euclidean space to spherical space. We show that there exists a continu...
Stephen G. Kobourov, Matthew Landis
GD
2006
Springer
14 years 4 months ago
Simultaneous Graph Embedding with Bends and Circular Arcs
Abstract. We consider the problem of simultaneous embedding of planar graphs. We demonstrate how to simultaneously embed a path and an n-level planar graph and how to use radial em...
Justin Cappos, Alejandro Estrella-Balderrama, J. J...
FCT
2009
Springer
14 years 4 months ago
Reachability in K3, 3-Free Graphs and K5-Free Graphs Is in Unambiguous Log-Space
We show that the reachability problem for directed graphs that are either K3,3-free or K5-free is in unambiguous log-space, UL coUL. This significantly extends the result of Bour...
Thomas Thierauf, Fabian Wagner
CAIP
2009
Springer
210views Image Analysis» more  CAIP 2009»
14 years 4 months ago
Shape Classification Using a Flexible Graph Kernel
The medial axis being an homotopic transformation, the skeleton of a 2D shape corresponds to a planar graph having one face for each hole of the shape and one node for each junctio...
François-Xavier Dupé, Luc Brun
GD
1998
Springer
14 years 4 months ago
A Framework for Drawing Planar Graphs with Curves and Polylines
We describe a unified framework of aesthetic criteria and complexity measures for drawing planar graphs with polylines and curves. This framework includes several visual properties...
Michael T. Goodrich, Christopher G. Wagner