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

Edith Hemaspaandra; Jörg Rothe; Holger Spakowski

RAIRO - Theoretical Informatics and Applications (2010)

- Volume: 40, Issue: 1, page 75-91
- ISSN: 0988-3754

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topHemaspaandra, Edith, Rothe, Jörg, and Spakowski, Holger. "Recognizing when heuristics can approximate minimum vertex covers is complete for parallel access to NP." RAIRO - Theoretical Informatics and Applications 40.1 (2010): 75-91. <http://eudml.org/doc/92790>.

@article{Hemaspaandra2010,

abstract = {
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 for which either
of these heuristics can find an optimal solution remains NP-hard.
},

author = {Hemaspaandra, Edith, Rothe, Jörg, Spakowski, Holger},

journal = {RAIRO - Theoretical Informatics and Applications},

keywords = {Computational complexity; completeness; minimum vertex cover
heuristics; approximation; parallel access to NP},

language = {eng},

month = {3},

number = {1},

pages = {75-91},

publisher = {EDP Sciences},

title = {Recognizing when heuristics can approximate minimum vertex covers is complete for parallel access to NP},

url = {http://eudml.org/doc/92790},

volume = {40},

year = {2010},

}

TY - JOUR

AU - Hemaspaandra, Edith

AU - Rothe, Jörg

AU - Spakowski, Holger

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

JO - RAIRO - Theoretical Informatics and Applications

DA - 2010/3//

PB - EDP Sciences

VL - 40

IS - 1

SP - 75

EP - 91

AB -
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 for which either
of these heuristics can find an optimal solution remains NP-hard.

LA - eng

KW - Computational complexity; completeness; minimum vertex cover
heuristics; approximation; parallel access to NP

UR - http://eudml.org/doc/92790

ER -

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