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Abstract: We give a simple algorithm to find a spanning tree that simultaneously approximates a shortest path tree and a minimum spanning tree. (Update)
Context of citations to this paper: More
...r. This problem can also be seen as a Lagrangian relaxation of the budgeted versions of network design problems studied earlier in [3, 1, 2]. Building on the basic framework developed in [3] Meyerson et al. [4] give a randomized approximation algorithm with an expected ratio of...
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BibTeX entry: (Update)
S. Khuller, B. Raghavachari, and N. Young. "Balancing Minimum Spanning Trees and Shortest-Path Trees," Proc. Symp. on Discrete Algorithms, 1993, pp. 243--250. http://citeseer.ist.psu.edu/khuller95balancing.html More
@article{ khuller95balancing,
author = "Samir Khuller and Balaji Raghavachari and Neal E. Young",
title = "Balancing Minimum Spanning Trees and Shortest-Path Trees",
journal = "Algorithmica",
volume = "14",
number = "4",
pages = "305-321",
year = "1995",
url = "citeseer.ist.psu.edu/khuller95balancing.html" }
Citations (may not include all citations):
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Computational Geometry (context) - Preparata, Shamos - 1985
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A note on two problems in connexion with graphs (context) - Dijkstra - 1959
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Fibonacci heaps and their uses in improved network optimizat.. (context) - Fredman, Tarjan - 1987
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Shortest Connection Networks and Some Generalizations (context) - Prim - 1957
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the shortest spanning subtree of a graph and the traveling s.. (context) - Kruskal - 1956
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Provably good performance-driven global routing (context) - Cong, Kahng et al. - 1992
45
New sparseness results on graph spanners
- Chandra, Das et al. - 1992
45
Efficient algorithms for finding minimum spanning trees in u.. (context) - Gabow, Galil et al. - 1986
45
Cost-sensitive analysis of communication protocols (context) - Awerbuch, Baratz et al. - 1990
43
Routing to multiple destinations in computer networks (context) - Bharath-Kumar, Jaffe - 1983
26
Discrete and Computational Geometry (context) - Althofer, Das et al. - 1993
24
There are planar graphs almost as good as the complete graph (context) - Chew - 1989
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A sparse graph almost as good as the complete graph on point.. (context) - Vaidya - 1991
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Efficient broadcast and light-weight spanners (context) - Awerbuch, Baratz et al. - 1991
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Performancedriven global routing for cell based IC's (context) - Cong, Kahng et al. - 1991
1
Provably good algorithms for performance-driven global routi.. (context) - Cong, Kahng et al. - 1992
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on Principles of Distributed Computing (context) - Peleg, Ullman et al. - 1987
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