An approximation algorithm for the total covering problem

Pooya Hatami

Discussiones Mathematicae Graph Theory (2007)

  • Volume: 27, Issue: 3, page 553-558
  • ISSN: 2083-5892

Abstract

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We introduce a 2-factor approximation algorithm for the minimum total covering number problem.

How to cite

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Pooya Hatami. "An approximation algorithm for the total covering problem." Discussiones Mathematicae Graph Theory 27.3 (2007): 553-558. <http://eudml.org/doc/270525>.

@article{PooyaHatami2007,
abstract = {We introduce a 2-factor approximation algorithm for the minimum total covering number problem.},
author = {Pooya Hatami},
journal = {Discussiones Mathematicae Graph Theory},
keywords = {covering; total covering; approximation algorithm},
language = {eng},
number = {3},
pages = {553-558},
title = {An approximation algorithm for the total covering problem},
url = {http://eudml.org/doc/270525},
volume = {27},
year = {2007},
}

TY - JOUR
AU - Pooya Hatami
TI - An approximation algorithm for the total covering problem
JO - Discussiones Mathematicae Graph Theory
PY - 2007
VL - 27
IS - 3
SP - 553
EP - 558
AB - We introduce a 2-factor approximation algorithm for the minimum total covering number problem.
LA - eng
KW - covering; total covering; approximation algorithm
UR - http://eudml.org/doc/270525
ER -

References

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  2. [2] Y. Alavi, J. Liu, F.J. Wang and F.Z. Zhang, On total covers of graphs, Discrete Math. 100 (1992) 229-233. Special volume to mark the centennial of Julius Petersen's ``Die Theorie der regulären Graphs'', Part I, doi: 10.1016/0012-365X(92)90643-T. 
  3. [3] I. Dinur and S. Safra, On the hardness of approximating minimum vertex cover, Annals of Mathematics 162 (2005) 439-485, doi: 10.4007/annals.2005.162.439. Zbl1084.68051
  4. [4] R. Duh and M. Fürer, Approximation of k-set cover by semi-local optimization, Proceedings of STOC '97: the 29th Annual ACM Symposium on Theory of Computing, (1997) 256-264. Zbl0962.68172
  5. [5] P. Erdös and A. Meir, On total matching numbers and total covering numbers of complementary graphs, Discrete Math. 19 (1977) 229-233, doi: 10.1016/0012-365X(77)90102-9. Zbl0374.05047
  6. [6] T.W. Haynes, S.T. Hedetniemi and P.J. Slater, Fundamentals of domination in graphs, vol. 208 of Monographs and Textbooks in Pure and Applied Mathematics (Marcel Dekker Inc., New York, 1998). Zbl0890.05002
  7. [7] S.M. Hedetniemi, S.T. Hedetniemi, R. Laskar, A. McRae and A. Majumdar, Domination, independence and irredundance in total graphs: a brief survey, in: Y. Alavi and A. Schwenk, eds, Graph Theory, Combinatorics and Applications: Proceedings of the 7th Quadrennial International Conference on the Theory and Applications of Graphs 2 (1995) 671-683. John Wiley and Sons, Inc. Zbl0843.05060
  8. [8] D.S. Johnson, Approximation algorithms for combinatorial problems, Journal of Computer and System Sciences (1974) 256-278, doi: 10.1016/S0022-0000(74)80044-9. Zbl0296.65036
  9. [9] S. Khot and O. Regev, Vertex cover might be hard to approximate within 2-ε, in: Proceedings of the 17th IEEE Conference on Computational Complexity (2002) 379-386. 
  10. [10] A. Majumdar, Neighborhood hypergraphs, PhD thesis, Clemson University, Department of Mathematical Sciences, 1992. 
  11. [11] D.F. Manlove, On the algorithmic complexity of twelve covering and independence parameters of graphs, Discrete Appl. Math. 91 (1999) 155-177, doi: 10.1016/S0166-218X(98)00147-4. Zbl0922.05041
  12. [12] A. Meir, On total covering and matching of graphs, J. Combin. Theory (B) 24 (1978) 164-168, doi: 10.1016/0095-8956(78)90017-5. Zbl0379.05050
  13. [13] U. Peled and F. Sun, Total matchings and total coverings of threshold graphs, Discrete Appl. Math. 49 (1994) 325-330. Viewpoints on optimization (Grimentz, 1990; Boston, MA, 1991). Zbl0799.90116

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