The minimum-weight ideal problem for signed posets

Journal of the Operations Research Society of Japan

Volumn 39, Issue 4, 1996, Pages 558-565

  Ando, Kazutoshi ^a   Fujishige, Satoru ^a   Nemoto, Toshio ^b  

^a UNIVERSITY OF TSUKUBA   (Japan)

^b BUNKYO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0141980232     PISSN: 04534514     EISSN: None     Source Type: Journal    
DOI: 10.15807/jorsj.39.558     Document Type: Article

References (19)

1. R. K. Ahuja, T. L. Magnanti and J. B. Orlin: Network Flows: Theory, Algorithms, and Applications (Prentice Hall, New York, 1993).
2. K. Ando and S. Fujishige: ∪, ∩-closed families and signed posets. Report No. 93813, Forschungsinstitut für Diskrete Mathematik, Universität Bonn (January 1994).
3. K. Ando and S. Fujishige: On structures of bisubmodular polyhedra. Mathematical Programming 74 (1996) 293-318.
4. K. Ando, S. Fujishige and T. Naitoh: A characterization of bisubmodular functions. Discrete Mathematics 148 (1996) 299-303.
5. K. Ando, S. Fujishige and T. Nemoto: Decomposition of a bidirected graph into strongly connected components and its signed poset structure. Discrete Applied Mathematics 68 (1996) 237-248.
6. K. Ando, S. Fujishige and T. Nemoto: The minimum-weight ideal problem for signed posets. Report No. 94828, Forschungsinstitut für Diskrete Mathematik, Universität Bonn (June 1994).
7. A. Bouchet and W. H. Cunningham: Delta-matroids, jump systems and bisubmodular polyhedra. SIAM Journal on Discrete Mathematics 8 (1995) 17-32.
8. R. Chandrasekaran and S. N. Kabadi: Pseudomatroids. Discrete Mathematics 71 (1988) 205-217.
9. J. Edmonds and E. L. Johnson: Matching: a well-solved class of linear programs. In: Combinatorial Structures and Their Applications (R. Guy, H. Hanani, N. Sauer and J. Schönheim, eds., Gordon and Breach, New York, 1970), pp. 88-92.
10. S. D. Fischer: Signed Poset Homology and q-analog Möbius Functions. Ph.D. Thesis, University of Michigan, 1993.
11. S. Fujishige: Submodular Functions and Optimization (North-Holland, Amsterdam, 1991).
12. S. Fujishige: A min-max theorem for bisubmodular polyhedra. SIAM Journal on Discrete Mathematics (to appear).
13. S. Fujishige and S. B. Patkar: The box convolution and the Dilworth truncation of bisubmodular functions. Report No. 94823, Forschungsinstitut für Diskrete Mathematik, Universität Bonn (May 1994).
14. S. N. Kabadi and R. Chandrasekaran: On totally dual integral systems. Discrete Applied Mathematics 26 (1990) 87-104.
15. J. C. Picard: Maximal closure of a graph and applications to combinatorial problems. Management Science 22 (1976) 1268-1272.
16. J. C. Picard and M. Queyranne: Selected applications on minimum cuts in networks. INFOR 20 (1982) 394-422.
17. V. Reiner: Signed posets. Journal of Combinatorial Theory, Ser. A 62 (1993) 324-360.
18. T. Zaslavsky: Signed graphs. Discrete Applied Mathematics 4 (1982) 47-74. Erratum, ibid., 5 (1983) 248.
19. T. Zaslavsky: Orientation of signed graphs. European Journal of Combinatorics 12 (1991) 361-375.