| E. BALAS AND S. M. NG, On the set covering polytope: All the facets with coefficients in {0,1,2}, Math. Programming 43 (1989), pp. 57--69. |
....separated in polynomial time, unless P = NP. Interesting open questions include: What is the computational complexity of separating inequalities arising from generalized antiwebs Do other PFS specific rank facets exist Does the polytope PFS admit higher order facets besides the ones studied in [9] with 0, 1, 2 coefficients Acknowledgements. The authors would like to thank Michael Joswig, Volker Kaibel and Gunter M. Ziegler for helpful discussions. We are also grateful to the anonymous referees for useful comments that improved the paper. Appendix To prove Lemma 3 of Section 3.1, we ....
E. BALAS AND S. M. NG, On the set covering polytope: All the facets with coefficients in {0,1,2}, Math. Programming 43 (1989), pp. 57--69.
.... (1993a) Clique problems: Grotschel and Wakabayashi (1989, 1990) Coloring: Lee and Leung (1993b) Nemhauser and Park (1991) Covering, packing and partition: Balas and Padberg (1972) Padberg (1973,1977,1980) Nemhauser and Trotter (1974) Trotter (1975) Wolsey (1976b) Balas and Zemel (1977) Balas and Ho (1980), Balas and Ng (1989a,b) Cornu ejols and Sassano (1989) Laurent (1989) Nobili and Sassano (1989) Sassano (1989) Chopra and Rao (1993) Ferreira et al. 1996,1998) Muller and Schulz (1996) Cheng and Cunningham (1997) Cut polytopes: Barahona and Mahjoub (1986) Barahona et al. 1988) ....
E. Balas and S.M. Ng (1989a) "On the set covering polytope: I. All the facets with coefficients in f0; 1; 2g", Mathematical Programming 43 57--69.
.... (1993a) Clique problems: Grotschel and Wakabayashi (1989, 1990) Coloring: Lee and Leung (1993b) Nemhauser and Park (1991) Covering, packing and partition: Balas and Padberg (1972) Padberg (1973,1977,1980) Nemhauser and Trotter (1974) Trotter (1975) Wolsey (1976b) Balas and Zemel (1977) Balas and Ho (1980), Balas and Ng (1989a,b) Cornu ejols and Sassano (1989) Laurent (1989) Nobili and Sassano (1989) Sassano (1989) Chopra and Rao (1993) Cut polytopes: Barahona and Mahjoub (1986) Barahona et al. 1988) Conforti et al. 1990 91a,b) De Sousa and Laurent (1991) Deza et al. 1992) Deza and ....
E. Balas and S.M. Ng (1989a) "On the set covering polytope: I. All the facets with coefficients in f0; 1; 2g", Mathematical Programming 43 57--69.
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