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» Supereulerian planar graphs
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STOC
2006
ACM
186views Algorithms» more  STOC 2006»
14 years 8 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
GD
2003
Springer
14 years 25 days ago
Fixed-Location Circular-Arc Drawing of Planar Graphs
In this paper we consider the problem of drawing a planar graph using circular arcs as edges, given a one-to-one mapping between the vertices of the graph and a set of points in t...
Alon Efrat, Cesim Erten, Stephen G. Kobourov
COMGEO
2008
ACM
13 years 7 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...
JMLR
2010
148views more  JMLR 2010»
13 years 2 months ago
Approximate Inference on Planar Graphs using Loop Calculus and Belief Propagation
We introduce novel results for approximate inference on planar graphical models using the loop calculus framework. The loop calculus (Chertkov and Chernyak, 2006b) allows to expre...
Vicenç Gómez, Hilbert J. Kappen, Mic...
SODA
2010
ACM
205views Algorithms» more  SODA 2010»
14 years 5 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