Minimal paths on ordered graphs

Ulrike Bossong; Dietmar Schweigert

Mathematica Slovaca (2006)

  • Volume: 56, Issue: 1, page 23-31
  • ISSN: 0232-0525

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Bossong, Ulrike, and Schweigert, Dietmar. "Minimal paths on ordered graphs." Mathematica Slovaca 56.1 (2006): 23-31. <http://eudml.org/doc/32097>.

@article{Bossong2006,
author = {Bossong, Ulrike, Schweigert, Dietmar},
journal = {Mathematica Slovaca},
keywords = {minimal path; bicriterion path problem; multicriteria analysis; power ordered set; efficient solution},
language = {eng},
number = {1},
pages = {23-31},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Minimal paths on ordered graphs},
url = {http://eudml.org/doc/32097},
volume = {56},
year = {2006},
}

TY - JOUR
AU - Bossong, Ulrike
AU - Schweigert, Dietmar
TI - Minimal paths on ordered graphs
JO - Mathematica Slovaca
PY - 2006
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 56
IS - 1
SP - 23
EP - 31
LA - eng
KW - minimal path; bicriterion path problem; multicriteria analysis; power ordered set; efficient solution
UR - http://eudml.org/doc/32097
ER -

References

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  1. HANSEN P., Bicriterion path problem, In: Lecture Notes in Econom. and Math. Systems 177, Springer, Heidelberg, 1987, pp. 109-127. (1987) MR0572769
  2. MARTINS E. Q. V., On a multicriterion shortest path problem, European J. Oper. Res. 16 (1984), 236-245. (1984) MR0741403
  3. ROUBENS M.-VINCKE P., Preference Modelling, Lecture Notes in Econom. and Math. Systems, Springer, Heidelberg, 1985. (1985) Zbl0572.90001MR0809182
  4. SCHWEIGERT D., Vector-weighted matchings, In: Combinatoric Advances (C J. Colbourn, E. S. Mahmoodian, eds.), Math. Appl. 329, Kluwer Acad. PubL, Dordrecht, 1995, pp. 267-276. (1995) Zbl1126.90387MR1366856
  5. SCHWEIGERT D., On trees and clusters on ordered graphs, In: 9th Workshop GOR group "Decision Theory and Optimization Practise", Chemnitz 1999, pp. 101-110. (1999) 
  6. SCHWEIGERT D., Ordered graphs and minimal spanning trees, Found. Comput. Decision Sci. 24 (1999), 219-229. (1999) Zbl1204.05093MR1747767
  7. STEUER R. E., Multiple Criteria Optimization: Theory, Computation and Application, Wiley Series in Probability and Mathematical Statistics: Applied Probability and Statistics, John Wiley & Sons, Inc., New York, 1986. (1986) Zbl0663.90085MR0836977
  8. WEST D. B., Introduction to Graph Theory, Prentice-Hall, New Delhi, 2001. Zbl1121.05304MR1367739

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