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OPODIS
2001
8 years 7 months ago
A Very Fast (Linear Time) Distributed Algorithm, on General Graphs, for the Minimum-Weight Spanning Tree
In their pioneering paper [4], Gallager et al. introduced a distributed algorithm for constructing the minimum-weight spanning tree (MST), many authors have suggested ways to enhan...
Lélia Blin, Franck Butelle
STOC
2003
ACM
171views Algorithms» more  STOC 2003»
9 years 6 months ago
Primal-dual meets local search: approximating MST's with nonuniform degree bounds
We present a new bicriteria approximation algorithm for the degree-bounded minimum-cost spanning tree problem: Given an undirected graph with nonnegative edge weights and degree b...
Jochen Könemann, R. Ravi
MOBIHOC
2002
ACM
9 years 5 months ago
Message-optimal connected dominating sets in mobile ad hoc networks
A connected dominating set (CDS) for a graph G(V, E) is a subset V of V , such that each node in V - V is adjacent to some node in V , and V induces a connected subgraph. A CDS ha...
Khaled M. Alzoubi, Peng-Jun Wan, Ophir Frieder
SPAA
2004
ACM
8 years 11 months ago
Lower bounds for graph embeddings and combinatorial preconditioners
Given a general graph G, a fundamental problem is to find a spanning tree H that best approximates G by some measure. Often this measure is some combination of the congestion and...
Gary L. Miller, Peter C. Richter
APPROX
2007
Springer
112views Algorithms» more  APPROX 2007»
9 years 14 days ago
Encouraging Cooperation in Sharing Supermodular Costs
Abstract Consider a situation where a group of agents wishes to share the costs of their joint actions, and needs to determine how to distribute the costs amongst themselves in a f...
Andreas S. Schulz, Nelson A. Uhan
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