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CCCG
2007
15 years 7 months ago
Morphing Planar Graph Drawings
We give an algorithm to morph between two planar drawings of a graph, preserving planarity, but allowing edges to bend during the course of the morph. The morph uses a polynomial ...
Anna Lubiw
CIAC
2006
Springer
100views Algorithms» more  CIAC 2006»
15 years 10 months ago
Distributed Approximation Algorithms for Planar Graphs
In this paper we construct two distributed algorithms for computing approximations of a largest matching and a minimum dominating set in planar graphs on n vertices. The approximat...
Andrzej Czygrinow, Michal Hanckowiak, Edyta Szyman...
JCT
2007
118views more  JCT 2007»
15 years 6 months ago
Excluding a planar graph from GF(q)-representable matroids
Abstract. We prove that a binary matroid with huge branchwidth contains the cycle matroid of a large grid as a minor. This implies that an infinite antichain of binary matroids ca...
Jim Geelen, Bert Gerards, Geoff Whittle
APPROX
2007
Springer
80views Algorithms» more  APPROX 2007»
15 years 10 months ago
Coarse Differentiation and Multi-flows in Planar Graphs
We show that the multi-commodity max-flow/min-cut gap for series-parallel graphs can be as bad as 2, matching a recent upper bound [8] for this class, and resolving one side of a ...
James R. Lee, Prasad Raghavendra
IJISTA
2008
87views more  IJISTA 2008»
15 years 6 months ago
On fusion of range and intensity information using Graph-Cut for planar patch segmentation
: Planar patch detection aims at simplifying data from 3-D imaging sensors to a more compact scene description. We propose a fusion of intensity and depth information using Graph-C...
Olaf Kähler, Erik Rodner, Joachim Denzler