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» On Bounded Leg Shortest Paths Problems
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ICRA
2010
IEEE
119views Robotics» more  ICRA 2010»
13 years 6 months ago
Evader surveillance under incomplete information
— This paper is concerned with determining whether a mobile robot, called the pursuer, is up to maintaining visibility of an antagonist agent, called the evader. This problem, a ...
Israel Becerra, Rafael Murrieta-Cid, Raul Monroy
COMPGEOM
2010
ACM
14 years 23 days 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
13 years 2 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»
14 years 1 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
SODA
2004
ACM
128views Algorithms» more  SODA 2004»
13 years 9 months ago
Frugality in path auctions
We consider the problem of picking (buying) an inexpensive s-t path in a graph where edges are owned by independent (selfish) agents, and the cost of an edge is known to its owner...
Edith Elkind, Amit Sahai, Kenneth Steiglitz