87 search results - page 6 / 18 » Constant Approximation Algorithms for Embedding Graph Metric... |
CORR
2011
Springer
13 years 1 months ago
2011
Springer
—The subject of this work is the patrolling of an environment with the aid of a team of autonomous agents. We consider both the design of open-loop trajectories with optimal prop...
SODA
2001
ACM
13 years 8 months ago
2001
ACM
Consider an edge-weighted tree T = (V, E, w : E R+ ), in which a subset R of the nodes (called the required nodes) are colored red and the remaining nodes in S = V \R are colored ...
FOCS
2003
IEEE
14 years 4 hour ago
2003
IEEE
The doubling constant of a metric space (X, d) is the smallest value λ such that every ball in X can be covered by λ balls of half the radius. The doubling dimension of X is the...
COMGEO
2012
ACM
12 years 2 months ago
2012
ACM
Let G be an unweighted graph of complexity n embedded in a surface of genus g, orientable or not. We describe improved algorithms to compute a shortest non-contractible and a shor...
WG
2010
Springer
13 years 5 months ago
2010
Springer
Θk-graphs are geometric graphs that appear in the context of graph navigation. The shortest-path metric of these graphs is known to approximate the Euclidean complete graph up to...