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IPL
2006
87views more  IPL 2006»
15 years 3 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»
15 years 10 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
15 years 5 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»
15 years 10 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»
15 years 10 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