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105
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UAI
2003
15 years 2 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»
14 years 4 months 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
15 years 6 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
15 years 6 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...
110
Voted
SODA
2001
ACM
87views Algorithms» more  SODA 2001»
15 years 2 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