Total Ordering Problem

Previous article Total Ordering ProblemJ. OpatrnyJ. Opatrnyhttps: //doi. org/10. 1137/0208008PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAboutAbstractThe problem of finding a total ordering of a finite set satisfying a given set of in-between restrictions is considered. It is shown that the problem is NP-complete. 1 Alfred V. Aho, , John E. Hopcroft and, Jeffrey D. Ullman, The design and analysis of computer algorithms, Addison-Wesley Publishing Co. , Reading, Mass. -London-Amsterdam, 1975x+470 MR0413592 (54: 1706) 0326. 68005 Google Scholar2 S. A. Cook, The complexity of theorem-proving procedures, Third Annual ACM Symposium on Theory of Computing, Association for Computing Machinery, New York, 1971, 151–158 0253. 68020 Google Scholar3 V. Chvatal and, G. Thomassen, Distances in orientations of graphs, Research report, STAN-CS-75-511, Stanford University, Stanford, CA, 1975 Google Scholar4 Richard M. Karp, R. E. Miller and, J. W. Thatcher, Reducibility among combinatorial problemsComplexity of computer computations (Proc. Sympos. , IBM Thomas J. Watson Res. Center, Yorktown Heights, N. Y. , 1972), Plenum, New York, 1972, 85–103 MR0378476 (51: 14644) CrossrefGoogle Scholar5 D. E. Knuth, The Art of Computer Programming, Vol. 1, Addison-Wesley, Reading, MA, 1968 0191. 17903 Google Scholar6 L. Lovász, Coverings and coloring of hypergraphs, Proceedings of the Fourth Southeastern Conference on Combinatorics, Graph Theory, and Computing (Florida Atlantic Univ. , Boca Raton, Fla. , 1973), Utilitas Math. , Winnipeg, Man. , 1973, 3–12 MR0363980 (51: 235) Google ScholarKeywordsalgorithmscomputational complexitytotal orderingNP-completeness Previous article FiguresRelatedReferencesCited ByDetails A Note on the Intersection of Alternately Orientable Graphs and Cocomparability GraphsIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, Vol. E105. 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Algorithms and Techniques Cross Ref Volume 8, Issue 1| 1979SIAM Journal on Computing History Submitted: 15 September 1977Published online: 31 July 2006 InformationCopyright © 1979 © Society for Industrial and Applied MathematicsKeywordsalgorithmscomputational complexitytotal orderingNP-completenessPDF Download Article & Publication DataArticle DOI: 10. 1137/0208008Article page range: pp. 111-114ISSN (print): 0097-5397ISSN (online): 1095-7111Publisher: Society for Industrial and Applied Mathematics