On Sequential Heuristic Methods for the Maximum Independent Set Problem

Ngoc C. Lê; Christoph Brause; Ingo Schiermeyer

Discussiones Mathematicae Graph Theory (2017)

  • Volume: 37, Issue: 2, page 415-426
  • ISSN: 2083-5892

Abstract

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We consider sequential heuristics methods for the Maximum Independent Set (MIS) problem. Three classical algorithms, VO [11], MIN [12], or MAX [6] , are revisited. We combine Algorithm MIN with the α-redundant vertex technique[3]. Induced forbidden subgraph sets, under which the algorithms give maximum independent sets, are described. The Caro-Wei bound [4,14] is verified and performance of the algorithms on some special graphs is considered.

How to cite

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Ngoc C. Lê, Christoph Brause, and Ingo Schiermeyer. "On Sequential Heuristic Methods for the Maximum Independent Set Problem." Discussiones Mathematicae Graph Theory 37.2 (2017): 415-426. <http://eudml.org/doc/288057>.

@article{NgocC2017,
abstract = {We consider sequential heuristics methods for the Maximum Independent Set (MIS) problem. Three classical algorithms, VO [11], MIN [12], or MAX [6] , are revisited. We combine Algorithm MIN with the α-redundant vertex technique[3]. Induced forbidden subgraph sets, under which the algorithms give maximum independent sets, are described. The Caro-Wei bound [4,14] is verified and performance of the algorithms on some special graphs is considered.},
author = {Ngoc C. Lê, Christoph Brause, Ingo Schiermeyer},
journal = {Discussiones Mathematicae Graph Theory},
keywords = {maximum independent set; heuristic; MIN; MAX; VO; vertex ordering},
language = {eng},
number = {2},
pages = {415-426},
title = {On Sequential Heuristic Methods for the Maximum Independent Set Problem},
url = {http://eudml.org/doc/288057},
volume = {37},
year = {2017},
}

TY - JOUR
AU - Ngoc C. Lê
AU - Christoph Brause
AU - Ingo Schiermeyer
TI - On Sequential Heuristic Methods for the Maximum Independent Set Problem
JO - Discussiones Mathematicae Graph Theory
PY - 2017
VL - 37
IS - 2
SP - 415
EP - 426
AB - We consider sequential heuristics methods for the Maximum Independent Set (MIS) problem. Three classical algorithms, VO [11], MIN [12], or MAX [6] , are revisited. We combine Algorithm MIN with the α-redundant vertex technique[3]. Induced forbidden subgraph sets, under which the algorithms give maximum independent sets, are described. The Caro-Wei bound [4,14] is verified and performance of the algorithms on some special graphs is considered.
LA - eng
KW - maximum independent set; heuristic; MIN; MAX; VO; vertex ordering
UR - http://eudml.org/doc/288057
ER -

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