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DAM
1999
169views more  DAM 1999»
13 years 7 months ago
Approximating the Weight of Shallow Steiner Trees
This paper deals with the problem of constructing Steiner trees of minimum weight with diameter bounded by d, spanning a given set of vertices in a graph. Exact solutions or logar...
Guy Kortsarz, David Peleg
CATS
2007
13 years 8 months ago
Some Structural and Geometric Properties of Two-Connected Steiner Networks
We consider the problem of constructing a shortest Euclidean 2-connected Steiner network (SMN) for a set of terminals. This problem has natural applications in the design of survi...
K. Hvam, L. Reinhardt, Pawel Winter, Martin Zachar...
ALGORITHMICA
2010
147views more  ALGORITHMICA 2010»
13 years 7 months ago
Note on the Structure of Kruskal's Algorithm
We study the merging process when Kruskal's algorithm is run with random graphs as inputs. Our aim is to analyze this process when the underlying graph is the complete graph ...
Nicolas Broutin, Luc Devroye, Erin McLeish
MONET
2006
103views more  MONET 2006»
13 years 7 months ago
Minimum-Energy Broadcasting in Multi-hop Wireless Networks Using a Single Broadcast Tree
In this paper we address the minimum-energy broadcast problem in multi-hop wireless networks, so that all broadcast requests initiated by different source nodes take place on the s...
Ioannis Papadimitriou, Leonidas Georgiadis
ESA
1994
Springer
138views Algorithms» more  ESA 1994»
13 years 11 months ago
Efficient Construction of a Bounded Degree Spanner with Low Weight
Let S be a set of n points in IRd and let t > 1 be a real number. A t-spanner for S is a graph having the points of S as its vertices such that for any pair p, q of points ther...
Sunil Arya, Michiel H. M. Smid