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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
STOC
2006
ACM
186views Algorithms» more  STOC 2006»
16 years 6 months ago
A subset spanner for Planar graphs, : with application to subset TSP
Let > 0 be a constant. For any edge-weighted planar graph G and a subset S of nodes of G, there is a subgraph H of G of weight a constant times that of the minimum Steiner tree...
Philip N. Klein
CIAC
2006
Springer
100views Algorithms» more  CIAC 2006»
15 years 9 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 5 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