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» On Planar Path Transformation
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STOC
2006
ACM
174views Algorithms» more  STOC 2006»
14 years 7 months ago
Edge-disjoint paths in Planar graphs with constant congestion
We study the maximum edge-disjoint paths problem in undirected planar graphs: given a graph G and node pairs s1t1, s2t2, . . ., sktk, the goal is to maximize the number of pairs t...
Chandra Chekuri, Sanjeev Khanna, F. Bruce Shepherd
FOCS
2004
IEEE
13 years 11 months ago
Edge-Disjoint Paths in Planar Graphs
We study the maximum edge-disjoint paths problem in undirected planar graphs: given a graph G and node pairs (demands) s1t1, s2t2, . . ., sktk, the goal is to maximize the number ...
Chandra Chekuri, Sanjeev Khanna, F. Bruce Shepherd
CORR
2008
Springer
74views Education» more  CORR 2008»
13 years 7 months ago
Shortest Vertex-Disjoint Two-Face Paths in Planar Graphs
Abstract. Let G be a directed planar graph of complexity n, each arc having a nonnegative length. Let s and t be two distinct faces of G; let s1, . . . , sk be vertices incident wi...
Éric Colin de Verdière, Alexander Sc...
ISAAC
2005
Springer
118views Algorithms» more  ISAAC 2005»
14 years 26 days ago
External Data Structures for Shortest Path Queries on Planar Digraphs
In this paper we present space-query trade-offs for external memory data structures that answer shortest path queries on planar directed graphs. For any S = Ω(N1+ ) and S = O(N2...
Lars Arge, Laura Toma
ALGORITHMICA
2006
138views more  ALGORITHMICA 2006»
13 years 7 months ago
Planar Graph Coloring Avoiding Monochromatic Subgraphs: Trees and Paths Make It Difficult
We consider the problem of coloring a planar graph with the minimum number of colors so that each color class avoids one or more forbidden graphs as subgraphs. We perform a detail...
Hajo Broersma, Fedor V. Fomin, Jan Kratochví...