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UAI
2003
13 years 10 months ago
Layerwidth: Analysis of a New Metric for Directed Acyclic Graphs
We analyze a new property of directed acyclic graphs (DAGs), called layerwidth, arising from a class of DAGs proposed by Eiter and Lukasiewicz. This class of DAGs permits certain ...
Mark Hopkins
CDC
2010
IEEE
125views Control Systems» more  CDC 2010»
13 years 5 days ago
Persistent patrol with limited-range on-board sensors
— We propose and analyze the Persistent Patrol Problem (PPP). An unmanned aerial vehicle (UAV) moving with constant speed and unbounded acceleration patrols a bounded region of t...
Vu Anh Huynh, John Enright, Emilio Frazzoli
COMPGEOM
2006
ACM
14 years 2 months ago
Plane embeddings of planar graph metrics
Embedding metrics into constant-dimensional geometric spaces, such as the Euclidean plane, is relatively poorly understood. Motivated by applications in visualization, ad-hoc netw...
MohammadHossein Bateni, Mohammad Taghi Hajiaghayi,...
PODC
2006
ACM
14 years 2 months ago
Optimal-stretch name-independent compact routing in doubling metrics
We consider the problem of name-independent routing in doubling metrics. A doubling metric is a metric space whose doubling dimension is a constant, where the doubling dimension o...
Goran Konjevod, Andréa W. Richa, Donglin Xi...
SODA
2001
ACM
87views Algorithms» more  SODA 2001»
13 years 10 months ago
Steiner points in tree metrics don't (really) help
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 ...
Anupam Gupta