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WG
2005
Springer
14 years 27 days ago
Approximation Algorithms for the Bi-criteria Weighted max-cut Problem
Abstract. We consider a generalization of the classical max-cut problem where two objective functions are simultaneously considered. We derive some theorems on the existence and th...
Eric Angel, Evripidis Bampis, Laurent Gourvè...
WG
2005
Springer
14 years 27 days ago
Computing the Tutte Polynomial on Graphs of Bounded Clique-Width
The Tutte polynomial is a notoriously hard graph invariant, and efficient algorithms for it are known only for a few special graph classes, like for those of bounded tree-width. Th...
Omer Giménez, Petr Hlinený, Marc Noy
WG
2005
Springer
14 years 27 days ago
Computation of Chromatic Polynomials Using Triangulations and Clique Trees
In this paper, we present a new algorithm for computing the chromatic polynomial of a general graph G. Our method is based on the addition of edges and contraction of non-edges of ...
Pascal Berthomé, Sylvain Lebresne, Kim Nguy...
WG
2005
Springer
14 years 27 days ago
Approximation Algorithms for the Weighted Independent Set Problem
In unweighted case, approximation ratio for the independent set problem has been analyzed in terms of the graph parameters, such as the number of vertices, maximum degree, and aver...
Akihisa Kako, Takao Ono, Tomio Hirata, Magnú...
WG
2005
Springer
14 years 27 days ago
Algebraic Operations on PQ Trees and Modular Decomposition Trees
Partitive set families are families of sets that can be quite large, but have a compact, recursive representation in the form of a tree. This tree is a common generalization of PQ...
Ross M. McConnell, Fabien de Montgolfier