Two heuristics for the absolute p -center problem in graphs

Ján Plesník

Mathematica Slovaca (1988)

  • Volume: 38, Issue: 3, page 227-233
  • ISSN: 0139-9918

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Plesník, Ján. "Two heuristics for the absolute $p$-center problem in graphs." Mathematica Slovaca 38.3 (1988): 227-233. <http://eudml.org/doc/31551>.

@article{Plesník1988,
author = {Plesník, Ján},
journal = {Mathematica Slovaca},
keywords = {weighted vertices; weighted edges; absolute p-center problem; weighted eccentricity},
language = {eng},
number = {3},
pages = {227-233},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Two heuristics for the absolute $p$-center problem in graphs},
url = {http://eudml.org/doc/31551},
volume = {38},
year = {1988},
}

TY - JOUR
AU - Plesník, Ján
TI - Two heuristics for the absolute $p$-center problem in graphs
JO - Mathematica Slovaca
PY - 1988
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 38
IS - 3
SP - 227
EP - 233
LA - eng
KW - weighted vertices; weighted edges; absolute p-center problem; weighted eccentricity
UR - http://eudml.org/doc/31551
ER -

References

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  1. CHRISTOFIDES N., Graрh Theory: an Algorithmic Approach, Academic Press, London, 1975. (1975) MR0429612
  2. DYER M. E., FRIEZE A. M., A simple heuristic for the p-centre problem, J. Oper. Res. Soc. 35, 1984, 285-288. (1984) MR0797340
  3. GAREY M. R., JOHNSON D. S., Computers and Intractability: a Guide to the Theory of NP-Completeness, Freeman, San Francisco, 1979. (1979) Zbl0411.68039MR0519066
  4. HAKIMI S. L., Optimum locations of switching centers and the absolute centers and medians of a graph, Operations Res. 12, 1964, 450-459. (1964) Zbl0123.00305
  5. HOCHBAUM D. S., SHMOYS D. B., A best possible heuristic for the k-center problem, Math. Opeг. Res. 10, 1985, 180-184. (1985) Zbl0565.90015MR0793876
  6. HOCHBAUM D. S., SHMOYS D. B., A unified approach to approximation algorithms for bottleneck problems, J. Assoc. Comput. Mach. 33, 1986, 533-550. (1986) MR0849028
  7. HSU W. L., NEMHAUSER G. L., Easy and hard bottleneck location problems, Discrete Appl. Math. 1, 1979, 209-215. (1979) Zbl0424.90049MR0549500
  8. KARIV O., HAKIMI S. L., An algorithmic approach to network location problems I: the p-centers, SIAM J. Appl. Math. 37, 1979, 513-538. (1979) Zbl0432.90074MR0549138
  9. MINIEKA E., The centeгs and medians of a gгaph, Opeгations Res. 25, 1977, 641-650. (1977) MR0524906
  10. PLESNÍK J., On the computational complexity of centers locating in a graph, Aplikace Mat. 25, 1980, 445-452. (1980) Zbl0454.68026MR0596851
  11. PLESNÍK J., A heuristic for thep-center problem in graphs, Discrete Appl. Math. 17, 1987, 263-268. (1987) MR0890636
  12. PLESNÍK J., On the interchange heuristic for locating centers and medians in a graph, Math. Slovaca, 37, 1987, 209-216. (1987) Zbl0642.05030MR0899438
  13. TANSEL B. C., FRANCIS R. L., LOWE T. J., Location on networks: a survey; part I: the p-center and p-median problems, Management Sci. 29, 1983, 482-497. (1983) MR0704593
  14. WONG R. T., Location and netwoгk design, In: Combinatorial Optimization: Annotated Bibliographies (M. O'hEigeaгtaigh, J. K. Lenstra and A. H. G. Rinnooy Kan, eds.), Wiley, New York, 1985, 129-147. (1985) MR0807391

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