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COMGEO
2012
ACM
12 years 5 months ago
Point-set embeddings of plane 3-trees
A straight-line drawing of a plane graph G is a planar drawing of G, where each vertex is drawn as a point and each edge is drawn as a straight line segment. Given a set S of n poi...
Rahnuma Islam Nishat, Debajyoti Mondal, Md. Saidur...
COMGEO
2008
ACM
13 years 9 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 4 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 7 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
JNW
2008
75views more  JNW 2008»
13 years 10 months ago
Time Efficient Radio Broadcasting in Planar Graphs
Abstract-- We study the communication primitive of broadcasting (one-to-all communication) in known topology radio networks, i.e., where for each primitive the schedule of transmis...
Fredrik Manne, Qin Xin