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ICALP
2009
Springer
14 years 11 months ago
Node-Weighted Steiner Tree and Group Steiner Tree in Planar Graphs
We improve the approximation ratios for two optimization problems in planar graphs. For node-weighted Steiner tree, a classical network-optimization problem, the best achievable ap...
Erik D. Demaine, MohammadTaghi Hajiaghayi, Philip ...
CATS
1998
14 years 6 days 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
GECCO
2006
Springer
175views Optimization» more  GECCO 2006»
14 years 2 months ago
An ant-based algorithm for finding degree-constrained minimum spanning tree
A spanning tree of a graph such that each vertex in the tree has degree at most d is called a degree-constrained spanning tree. The problem of finding the degree-constrained spann...
Thang Nguyen Bui, Catherine M. Zrncic
COMGEO
2004
ACM
13 years 10 months ago
The weighted farthest color Voronoi diagram on trees and graphs
Let n point sites be situated on the vertices or edges of a geometric graph G over e edges. Each site can be assigned a multiplicative weight and a color. We discuss the complexit...
Ferran Hurtado, Rolf Klein, Elmar Langetepe, Vera ...
COMPGEOM
1999
ACM
14 years 3 months ago
Mesh Collapse Compression
We present a novel algorithm for encoding the topology of triangular meshes. A sequence of edge contract and divide operations collapses the entire mesh into a single vertex. This ...
Martin Isenburg, Jack Snoeyink