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» Coloring Vertices and Faces of Locally Planar Graphs
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FOCS
2007
IEEE
14 years 2 months ago
Reconstruction for Models on Random Graphs
Consider a collection of random variables attached to the vertices of a graph. The reconstruction problem requires to estimate one of them given ‘far away’ observations. Sever...
Antoine Gerschenfeld, Andrea Montanari
INFOCOM
2007
IEEE
14 years 2 months ago
Face Tracing Based Geographic Routing in Nonplanar Wireless Networks
— Scalable and efficient routing is a main challenge in the deployment of large ad hoc wireless networks. An essential element of practical routing protocols is their accommodat...
Fenghui Zhang, Hao Li, Anxiao Jiang, Jianer Chen, ...
SIAMDM
2010
149views more  SIAMDM 2010»
13 years 7 months ago
Formal Theory of Noisy Sensor Network Localization
Graph theory has been used to characterize the solvability of the sensor network localization problem. If sensors correspond to vertices and edges correspond to sensor pairs betwee...
Brian D. O. Anderson, Iman Shames, Guoqiang Mao, B...
COMPGEOM
2003
ACM
14 years 1 months ago
Local polyhedra and geometric graphs
We introduce a new realistic input model for geometric graphs and nonconvex polyhedra. A geometric graph G is local if (1) the longest edge at every vertex v is only a constant fa...
Jeff Erickson
DISOPT
2010
129views more  DISOPT 2010»
13 years 8 months ago
Labeled Traveling Salesman Problems: Complexity and approximation
We consider labeled Traveling Salesman Problems, defined upon a complete graph of n vertices with colored edges. The objective is to find a tour of maximum or minimum number of co...
Basile Couëtoux, Laurent Gourvès, J&ea...