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» A Lower Bound for the Shortest Path Problem
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COMPGEOM
2010
ACM
15 years 4 months ago
Finding shortest non-trivial cycles in directed graphs on surfaces
Let D be a weighted directed graph cellularly embedded in a surface of genus g, orientable or not, possibly with boundary. We describe algorithms to compute a shortest non-contrac...
Sergio Cabello, Éric Colin de Verdiè...
ALGORITHMICA
2011
14 years 6 months ago
All-Pairs Bottleneck Paths in Vertex Weighted Graphs
Let G = (V, E, w) be a directed graph, where w : V → R is an arbitrary weight function defined on its vertices. The bottleneck weight, or the capacity, of a path is the smalles...
Asaf Shapira, Raphael Yuster, Uri Zwick
WADS
2007
Springer
104views Algorithms» more  WADS 2007»
15 years 5 months ago
Faster Approximation of Distances in Graphs
Let G = (V, E) be an weighted undirected graph on n vertices and m edges, and let dG be its shortest path metric. We present two simple deterministic algorithms for approximating ...
Piotr Berman, Shiva Prasad Kasiviswanathan
INFOCOM
2011
IEEE
14 years 3 months ago
Approximate distance queries and compact routing in sparse graphs
—An approximate distance query data structure is a compact representation of a graph, and can be queried to approximate shortest paths between any pair of vertices. Any such data...
Rachit Agarwal, Philip Brighten Godfrey, Sariel Ha...
JPDC
2006
187views more  JPDC 2006»
14 years 11 months ago
Maximum lifetime data sensing and extraction in energy constrained networked sensor systems
We focus on data gathering problems in energy constrained networked sensor systems. The system operates in rounds where a subset of the sensors generate a certain number of data p...
Bo Hong, Viktor K. Prasanna