Displaying similar documents to “Two heuristics for the absolute p -center problem in graphs”

On-line models and algorithms for max independent set

Bruno Escoffier, Vangelis Th. Paschos (2006)

RAIRO - Operations Research

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In on-line computation, the instance of the problem dealt is not entirely known from the beginning of the solution process, but it is revealed step-by-step. In this paper we deal with on-line independent set. On-line models studied until now for this problem suppose that the input graph is initially empty and revealed either vertex-by-vertex, or cluster-by-cluster. Here we present a new on-line model quite different to the ones already studied. It assumes that a superset of the final...

Recognizing when heuristics can approximate minimum vertex covers is complete for parallel access to NP

Edith Hemaspaandra, Jörg Rothe, Holger Spakowski (2006)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

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For both the edge deletion heuristic and the maximum-degree greedy heuristic, we study the problem of recognizing those graphs for which that heuristic can approximate the size of a minimum vertex cover within a constant factor of r , where r is a fixed rational number. Our main results are that these problems are complete for the class of problems solvable via parallel access to NP . To achieve these main results, we also show that the restriction of the vertex cover problem to those graphs...

On the computational complexity of centers locating in a graph

Ján Plesník (1980)

Aplikace matematiky

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It is shown that the problem of finding a minimum k -basis, the n -center problem, and the p -median problem are N P -complete even in the case of such communication networks as planar graphs with maximum degree 3. Moreover, a near optimal m -center problem is also N P -complete.

A Metaheuristic Approach to Solving the Generalized Vertex Cover Problem

Milanović, Marija (2010)

Mathematica Balkanica New Series

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AMS Subj. Classification: 90C27, 05C85, 90C59 The topic is related to solving the generalized vertex cover problem (GVCP) by genetic algorithm. The problem is NP-hard as a generalization of well-known vertex cover problem which was one of the first problems shown to be NP-hard. The definition of the GVCP and basics of genetic algorithms are described. Details of genetic algorithm and numerical results are presented in [8]. Genetic algorithm obtained high quality solutions in...