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» The diameter of protean graphs
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NIPS
2008
13 years 8 months ago
Fast Prediction on a Tree
Given an n-vertex weighted tree with structural diameter S and a subset of m vertices, we present a technique to compute a corresponding m
Mark Herbster, Massimiliano Pontil, Sergio Rojas G...
CORR
2010
Springer
59views Education» more  CORR 2010»
13 years 7 months ago
Edge Growth in Graph Cubes
We show that for every connected graph G of diameter 3, the graph G3 has average degree 7 4 (G). We also provide an example showing that this bound is best possible. This resolv...
Matt DeVos, Stéphan Thomassé
STOC
2004
ACM
138views Algorithms» more  STOC 2004»
14 years 25 days ago
Know thy neighbor's neighbor: the power of lookahead in randomized P2P networks
Several peer-to-peer networks are based upon randomized graph topologies that permit efficient greedy routing, e.g., randomized hypercubes, randomized Chord, skip-graphs and const...
Gurmeet Singh Manku, Moni Naor, Udi Wieder
ADHOCNOW
2003
Springer
14 years 19 days ago
Topology Control Problems under Symmetric and Asymmetric Power Thresholds
We consider topology control problems where the goal is to assign transmission powers to the nodes of an ad hoc network so as to induce graphs satisfying specific properties. The ...
Sven Oliver Krumke, Rui Liu, Errol L. Lloyd, Madha...
WDAG
2010
Springer
183views Algorithms» more  WDAG 2010»
13 years 5 months ago
What Is the Use of Collision Detection (in Wireless Networks)?
We show that the asymptotic gain in the time complexity when using collision detection depends heavily on the task by investigating three prominent problems for wireless networks,...
Johannes Schneider, Roger Wattenhofer