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ESA
2010
Springer
136views Algorithms» more  ESA 2010»
15 years 8 months ago
Fast Minor Testing in Planar Graphs
Minor containment is a fundamental problem in Algorithmic Graph Theory, as numerous graph algorithms use it as a subroutine. A model of a graph H in a graph G is a set of disjoint ...
Isolde Adler, Frederic Dorn, Fedor V. Fomin, Ignas...
CORR
2010
Springer
103views Education» more  CORR 2010»
15 years 7 months ago
Probabilistic regular graphs
Deterministic graph grammars generate regular graphs, that form a structural extension of configuration graphs of pushdown systems. In this paper, we study a probabilistic extensio...
Nathalie Bertrand, Christophe Morvan
FAW
2009
Springer
134views Algorithms» more  FAW 2009»
16 years 1 months ago
Pathwidth is NP-Hard for Weighted Trees
The pathwidth of a graph G is the minimum clique number of H minus one, over all interval supergraphs H of G. We prove in this paper that the PATHWIDTH problem is NP-hard for parti...
Rodica Mihai, Ioan Todinca
APPROX
2010
Springer
176views Algorithms» more  APPROX 2010»
15 years 8 months ago
Approximation Algorithms for Min-Max Generalization Problems
Abstract. We provide improved approximation algorithms for the minmax generalization problems considered by Du, Eppstein, Goodrich, and Lueker [1]. In min-max generalization proble...
Piotr Berman, Sofya Raskhodnikova
NETWORKS
2010
15 years 5 months ago
Probabilistic models for the Steiner Tree problem
We consider a probabilistic model for the Steiner Tree problem. Under this model the problem is defined in a 2-stage setting over a first-stage complete weighted graph having it...
Vangelis Th. Paschos, Orestis Telelis, Vassilis Zi...