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» Computing the Girth of a Planar Graph
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156
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FOCS
2004
IEEE
15 years 5 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
COMGEO
2008
ACM
15 years 1 months ago
Encompassing colored planar straight line graphs
Consider a planar straight line graph (PSLG), G, with k connected components, k 2. We show that if no component is a singleton, we can always find a vertex in one component that s...
Ferran Hurtado, Mikio Kano, David Rappaport, Csaba...
107
Voted
SODA
2010
ACM
205views Algorithms» more  SODA 2010»
15 years 11 months ago
Maximum Flows and Parametric Shortest Paths in Planar Graphs
We observe that the classical maximum flow problem in any directed planar graph G can be reformulated as a parametric shortest path problem in the oriented dual graph G . This ref...
Jeff Erickson
STACS
2001
Springer
15 years 6 months ago
Generalized Langton's Ant: Dynamical Behavior and Complexity
Langton’s ant is a simple discrete dynamical system, with a surprisingly complex behavior. We study its extension to general planar graphs. First we give some relations between c...
Anahí Gajardo, Eric Goles Ch., André...
GD
2009
Springer
15 years 6 months ago
Manhattan-Geodesic Embedding of Planar Graphs
In this paper, we explore a new convention for drawing graphs, the (Manhattan-) geodesic drawing convention. It requires that edges are drawn as interior-disjoint monotone chains o...
Bastian Katz, Marcus Krug, Ignaz Rutter, Alexander...