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FOCS
1992
IEEE
14 years 1 months ago
Dynamic Half-Space Reporting, Geometric Optimization, and Minimum Spanning Trees
We describe dynamic data structures for half-space range reporting and for maintaining the minima of a decomposable function. Using these data structures, we obtain efficient dyna...
Pankaj K. Agarwal, David Eppstein, Jirí Mat...
CCCG
2007
13 years 11 months ago
Approximating k-hop Minimum Spanning Trees in Euclidean Metrics
In the minimum-cost k-hop spanning tree (k-hop MST) problem, we are given a set S of n points in a metric space, a positive small integer k and a root point r ∈ S. We are intere...
Sören Laue, Domagoj Matijevic
IJKESDP
2010
149views more  IJKESDP 2010»
13 years 8 months ago
An approximate solution method based on tabu search for k-minimum spanning tree problems
—This paper considers k-minimum spanning tree problems. An existing solution algorithm based on tabu search, which was proposed by Katagiri et al., includes an iterative solving ...
Hideki Katagiri, Tomohiro Hayashida, Ichiro Nishiz...
ESA
2004
Springer
125views Algorithms» more  ESA 2004»
14 years 3 months ago
Approximation Algorithms for Quickest Spanning Tree Problems
Let G = (V, E) be an undirected multi-graph with a special vertex root ∈ V , and where each edge e ∈ E is endowed with a length l(e) ≥ 0 and a capacity c(e) > 0. For a pa...
Refael Hassin, Asaf Levin
SIAMCOMP
2000
104views more  SIAMCOMP 2000»
13 years 9 months ago
A Near-Tight Lower Bound on the Time Complexity of Distributed Minimum-Weight Spanning Tree Construction
This paper presents a lower bound of (D + n/ log n) on the time required for the distributed construction of a minimum-weight spanning tree (MST) in weighted n-vertex networks of ...
David Peleg, Vitaly Rubinovich