Variations on an ordering theme with constraints

IFIP International Federation for Information Processing

Volumn 209, Issue , 2006, Pages 77-90

  Guttmann, Walter ^a   Maucher, Markus ^a  

^a UNIVERSITY OF ULM   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL COMPLEXITY;

BETWEENNESS; CYCLIC ORDERING; NP-COMPLETENESS; TOPOLOGICAL SORTING; TOTAL ORDER;

INFORMATION TECHNOLOGY;

EID: 33845642235     PISSN: 15715736     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-0-387-34735-6_10     Document Type: Article

References (12)

1. M.R. Garey and D.S. Johnson. Computers and Intractability. W.H. Freeman and Company, 1979.
2. J. Opatrny. Total ordering problem. SIAM Journal on Computing, 8(1):111-114, February 1979.
3. B. Chor and M. Sudan. A geometric approach to betweenness. SIAM Journal on Discrete Mathematics, 11(4):511-523, November 1998.
4. Z. Galil and N. Megiddo. Cyclic ordering is NP-complete. Theoretical Computer Science, 5(2):179-182, October 1977.
5. A. Isli and A.G. Cohn. A new approach to cyclic ordering of 2D orientations using ternary relation algebras. Artificial Intelligence, 122(1-2):137-187, September 2000.
6. D.E. Knuth. Fundamental Algorithms, volume 1 of The Art of Computer Programming. Addison-Wesley, third edition, 1997.
7. W. Guttmann and M. Maucher. Constrained ordering. Technical Report UIB-2005-03, Universität Ulm, December 2005.
8. Object Management Group, http://www.omg.org/. UML 2.0 Superstructure Specification, August 2005.
9. M. Fowler. Patterns of Enterprise Application Architecture. Addison-Wesley, 2002.
10. J.F. Allen. Maintaining knowledge about temporal intervals. Communications of the ACM, 26(11):832-843, November 1983.
11. B. Nebel and H.-J. Bürckert. Reasoning about temporal relations: A maximal tractable subclass of Allen's interval algebra. Journal of the ACM, 42(1):43-66, January 1995.
12. A. Krokhin, P. Jeavons, and P. Jonsson. Reasoning about temporal relations: The tractable subalgebras of Allen's interval algebra. Journal of the ACM, 50(5):591-640, September 2003.