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IPL
2006
87views more  IPL 2006»
13 years 8 months ago
Vertex rankings of chordal graphs and weighted trees
: In this paper we consider the vertex ranking problem of weighted trees. We show that this problem is strongly NP-hard. We also give a polynomial-time reduction from the problem o...
Dariusz Dereniowski, Adam Nadolski
WADS
2007
Springer
165views Algorithms» more  WADS 2007»
14 years 2 months ago
A Near Linear Time Approximation Scheme for Steiner Tree Among Obstacles in the Plane
We present a polynomial-time approximation scheme (PTAS) for the Steiner tree problem with polygonal obstacles in the plane with running time O(n log2 n), where n denotes the numb...
Matthias Müller-Hannemann, Siamak Tazari
CJCDGCGT
2005
Springer
13 years 10 months ago
Fractional Vertex Arboricity of Graphs
The vertex arboricity va(G) of a graph G is the minimum number of subsets into which the vertex set V (G) can be partitioned so that each subset induces an acyclic subgraph. The f...
Qinglin Yu, Lian-Cui Zuo
ISAAC
2007
Springer
89views Algorithms» more  ISAAC 2007»
14 years 3 months ago
Unifying Two Graph Decompositions with Modular Decomposition
We introduces the umodules, a generalization of the notion of graph module. The theory we develop captures among others undirected graphs, tournaments, digraphs, and 2−structures...
Binh-Minh Bui-Xuan, Michel Habib, Vincent Limouzy,...
GECCO
2007
Springer
166views Optimization» more  GECCO 2007»
14 years 3 months ago
Comparison of tree and graph encodings as function of problem complexity
In this paper, we analyze two general-purpose encoding types, trees and graphs systematically, focusing on trends over increasingly complex problems. Tree and graph encodings are ...
Michael D. Schmidt, Hod Lipson