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IPPS
2005
IEEE
13 years 11 months ago
On Constructing k-Connected k-Dominating Set in Wireless Networks
An important problem in wireless networks, such as wireless ad hoc and sensor networks, is to select a few nodes to form a virtual backbone that supports routing and other tasks s...
Fei Dai, Jie Wu
CATS
1998
13 years 7 months ago
Finding the k Most Vital Edges with Respect to Minimum Spanning Trees for k=2 and 3
Let G(V, E) be a weighted, undirected, connected simple graph with n vertices and m edges. The k most vital edge problem with respect to minimum spanning trees is to find a set S o...
Weifa Liang, George Havas
FOCS
2010
IEEE
13 years 4 months ago
Stability Yields a PTAS for k-Median and k-Means Clustering
We consider k-median clustering in finite metric spaces and k-means clustering in Euclidean spaces, in the setting where k is part of the input (not a constant). For the k-means pr...
Pranjal Awasthi, Avrim Blum, Or Sheffet
ITICSE
2006
ACM
14 years 5 days ago
One step further the ACM K-12 final report: a proposal for level 1: computer organization for K-8
Teaching computer science to children is a major priority in most countries in the world. Nevertheless, Computer Science curricula do not seem to address the children’s world, c...
Giovanni M. Bianco, Simonetta Tinazzi
IPCO
2001
166views Optimization» more  IPCO 2001»
13 years 7 months ago
Approximate k-MSTs and k-Steiner Trees via the Primal-Dual Method and Lagrangean Relaxation
Garg [10] gives two approximation algorithms for the minimum-cost tree spanning k vertices in an undirected graph. Recently Jain and Vazirani [16] discovered primal-dual approxima...
Fabián A. Chudak, Tim Roughgarden, David P....