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» On the Covering Steiner Problem
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GECCO
2004
Springer
14 years 4 months ago
Three Evolutionary Codings of Rectilinear Steiner Arborescences
A rectilinear Steiner arborescence connects points in the Euclidean plane’s first quadrant and the origin with directed rectilinear edges from the origin up and to the right. Th...
Bryant A. Julstrom, Athos Antoniades
INFOCOM
2010
IEEE
13 years 9 months ago
Maintaining Approximate Minimum Steiner Tree and k-center for Mobile Agents in a Sensor Network
Abstract--We study the problem of maintaining group communication between m mobile agents, tracked and helped by n static networked sensors. We develop algorithms to maintain a O(l...
Dengpan Zhou, Jie Gao
STOC
2003
ACM
133views Algorithms» more  STOC 2003»
14 years 11 months ago
A fast algorithm for computing steiner edge connectivity
Given an undirected graph or an Eulerian directed graph G and a subset S of its vertices, we show how to determine the edge connectivity C of the vertices in S in time O(C3 n log ...
Richard Cole, Ramesh Hariharan
GECCO
2006
Springer
135views Optimization» more  GECCO 2006»
14 years 2 months ago
A tree-based genetic algorithm for building rectilinear Steiner arborescences
A rectilinear Steiner arborescence (RSA) is a tree, whose nodes include a prescribed set of points, termed the vertices, in the first quadrant of the Cartesian plane, and whose tr...
William A. Greene
DAM
1999
169views more  DAM 1999»
13 years 10 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