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CORR
2006
Springer
134views Education» more  CORR 2006»
13 years 7 months ago
Max-Cut and Max-Bisection are NP-hard on unit disk graphs
We prove that the max-cut and max-bisection problems are NP-hard on unit disk graphs. We also show that -precision graphs are planar for > 1/ 2 and give a dichotomy theorem f...
Josep Díaz, Marcin Kaminski
CATS
2008
13 years 9 months ago
Graph Classes and the Complexity of the Graph Orientation Minimizing the Maximum Weighted Outdegree
Given an undirected graph with edge weights, we are asked to find an orientation, i.e., an assignment of a direction to each edge, so as to minimize the weighted maximum outdegree...
Yuichi Asahiro, Eiji Miyano, Hirotaka Ono
STACS
2000
Springer
13 years 11 months ago
The Complexity of Planarity Testing
We clarify the computational complexity of planarity testing, by showing that planarity testing is hard for L, and lies in SL. This nearly settles the question, since it is widely...
Eric Allender, Meena Mahajan
ISAAC
2007
Springer
120views Algorithms» more  ISAAC 2007»
14 years 1 months ago
Succinct Representation of Labeled Graphs
Abstract. We consider the problem of designing succinct representations of labeled graphs (we consider vertex labeled planar triangulations, as well as edge labeled planar graphs a...
Jérémy Barbay, Luca Castelli Aleardi...
SIBGRAPI
2005
IEEE
14 years 1 months ago
A Linear Algorithm for Exact Pattern Matching in Planar Subdivisions
Graph sub-isomorphism is a very common approach to solving pattern search problems, but this is a NP-complete problem. This way, it is necessary to invest in research of approxima...
Pedro Ribeiro de Andrade Neto, André Luiz P...