@preamblex{ "\newcommand{\noopsort}[1]{} " # "\newcommand{\printfirst}[2]{#1} " # "\newcommand{\singleletter}[1]{#1} " # "\newcommand{\switchargs}[2]{#2#1} " } @ARTICLE{b, author = "F. Barahona", title = {The max--cut problem in graphs not contractible to {$K_{5}$}}, journal = {Operations Research Letters}, year = 1982, volume = 2, number = 3, pages = "107--111", } @ARTICLE{bg, author = {F. Barahona and M. Gr\"otschel}, title = {On the cycle polytope of a binary matroid}, journal = {Journal of Combinatorial Theory B}, year = 1986, volume = 40, pages = "40--62", } @ARTICLE{bm, author = "F. Barahona and A. R. Mahjoup", title = {On the cut polytope}, journal = {Mathematical Programming}, year = 1986, volume = 36, number = 5, pages = "157--173", } @ARTICLE{bgjr, author = {F. Barahona and M. Gr\"otschel and M. Junger and G. Reinelt}, title = {An application of combinatorial optimization to statistical physics and circuit layout design}, journal = {Operations Research}, year = 1988, volume = 36, number = 3, pages = "493--513", } @BOOK{ber, author="C. Berge", title="Hypergraphs", publisher="North-Holland", year=1989, } @ARTICLE{bh1, author = "E. Boros and P. L. Hammer", title = {On clustering problems with connected optima in {Euclidean} spaces}, journal = {Discrete Mathematics}, year = 1989, volume = 75, pages = "81--88", } @TECHREPORT{bh2, author = "E. Boros and P. L. Hammer", title = "Cut-polytopes, {Boolean} {Quadratic} polytope and nonnegative quadratic {pseudo-Boolean} functions", institution = "RUTCOR", number = "RRR 24-90", address = "New Jersey 08903", year = 1990, month = may, } @TECHREPORT{bh3, author = "E. Boros and P. L. Hammer", title = "The max-cut problem and quadratic 0--1 optimization: Polyhedral aspects, relaxations and bounds", institution = "RUTCOR", number = "RRR 25-91", address = "New Jersey 08903", year = 1991, month = may, } @TECHREPORT{bch, author = "E. Boros and Y. Crama and P. L. Hammer", title = "Upper bounds for quadratic 0--1 maximization problems", institution = "RUTCOR", number = "RRR 14-89", address = "New Jersey 08903", year = 1989, month = may, } @TECHREPORT{cr, author = "S. Chopra and M. R. Rao", title = "Facets of the k-partition polytope", year = 1989, month = jun, note = "manuscript, submitted", } @ARTICLE{crs1, author = "M. Conforti and M. R. Rao and A. Sassano", title = {The equipartition polytope: part 1}, journal = {Mathematical Programming}, year = 1990, volume = 49, pages = "49--70", } @ARTICLE{crs2, author = "M. Conforti and M. R. Rao and A. Sassano", title = {The equipartition polytope: part 2}, journal = {Mathematical Programming}, year = 1990, volume = 49, pages = "71--91", } @ARTICLE{cnp, author = "G. Cornuejols and D. Naddef and W. R. Pulleyblank", title = {The travelling salesman problem in graphs with 3-edge cutsets}, journal = {Journal of ACM}, year = 1985, volume = 32, pages = "382--410", } @ARTICLE{ds, author = "C. De Simone", title = {The cut polytope and the boolean quadratic polytope}, journal = {Discrete Mathematics}, year = 1989, volume = 79, pages = "71--75", } @TECHREPORT{sdl, author = "C. De Simone and M. Deza and M. Laurent", title = "Collapsing and lifting for the cut cone", institution = "Instituto Di Anallisi Dei Sistemi Ed Informatica", number = "265", address = "IASI-CNR Consqlio Nazionale belle Ricerche, Roma", year = 1989, } @ARTICLE{d, author = "M. Deza", title = {On the {Hamming} geometry of unitary cubes}, journal = {Doklady Academii Nauk SSR}, year = 1960, volume = 134, pages = "1037--1040", note = "English translation in: {\it Soviet Physics Doklady}, 5, (1961), 940--943", } @TECHREPORT{dgl, author = {M. Deza and M. Gr\"otschel and M. Laurent}, title = "Clique--web facets for multicut polytopes", institution = "Institut fur Mathematik", number = "186", address = "Universtat Augsburg, Univestatsstr. 8 D-8900, Augsburg", year = 1989, month = sep, } @ARTICLE{dl1, author = "M. Deza and M. Laurent", title = {Facets for the cut cone I}, journal = {Mathematical Programming}, year = 1992, volume = 56, pages = "121--160", } @ARTICLE{dl2, author = "M. Deza and M. Laurent", title = {Facets for the cut cone II}, journal = {Mathematical Programming}, year = 1992, volume = 56, pages = "161--188", } @TECHREPORT{dl3, author = {M. Deza and M. Laurent}, title = "The cut cone III: on the role of triange facets", institution = "Forschungsinstitut fur Diskrete Mathematik Institut fur okonometrie und Operations Research", number = "90655 - OR", address = "Nassestrasse 2, D-5300, Bonn", year = 1990, month = jul, } @TECHREPORT{dl4, author = {M. Deza and M. Laurent}, title = "The cut cone: simplicial faces and variety of realizations", institution = "Forschungsinstitut fur Diskrete Mathematik Institut fur okonometrie und Operations Research", number = "90671 - OR", address = "Nassestrasse 2, D-5300, Bonn", year = 1991, month = jan, } @TECHREPORT{dl5, author = {M. Deza and M. Laurent}, title = "Extension operations for cuts", institution = "Forschungsinstitut fur Diskrete Mathematik Institut fur okonometrie und Operations Research", number = "91736 - OR", address = "Nassestrasse 2, D-5300, Bonn", year = 1991, month = nov, } @ARTICLE{g, author = "A. M. H. Gerards", title = {Testing the odd bicycle wheel inequalities for the bipartite subgraph polytope}, journal = {Mathematics of Operations Research}, year = 1985, volume = 10, pages = "359--360", } @ARTICLE{gbm, author = {M. Gr\"otschel and F. Barahona and A. R. Mahjoup }, title = {Facets of bipartite subgraph polytope}, journal = {Mathematics of Operations Research}, year = 1985, volume = 10, pages = "340--358", } @TECHREPORT{gn, author = {M. Gr\"otschel and G. R. Nemhauser}, title = "A polynomial algorithm for the max-cut problem on graphs without long odd cycles", institution = "Institut fur Ukonometrrie und Operations Research", address = "Universtat, Bonn", year = 1982, } @ARTICLE{gp, author = {M. Gr\"otschel and W. R. Pulleyblank}, title = {Weakly bipartite graphs and the max-cut problem}, journal = {Operations Research Letters}, year = 1981, volume = 1, number = 1, pages = "23--27", } @ARTICLE{gw1, author = {M. Gr\"otcshel and Y. Wakabayashi}, title = {A cutting plane algorithm for a clustering problem}, journal = {Mathematical Programming}, year = 1989, volume =45, pages = "59--96", } @ARTICLE{gw2, author = {M. Gr\"otcshel and Y. Wakabayashi}, title = {Facets of the clique partitioning polytope}, journal = {Mathematical Programming}, year = 1990, volume =47, pages = "367--387", } @INCOLLECTION{gw3, author = {M. Gr\"otschel and Y. Wakabayashi}, title = "Composition of facets of the clique partitioning polytope", editor = "R.\ Bodendiek and R.\ Hem", booktitle = "Topics in Combinatorics and Graph Theory", publisher = "Physica--Verlag ", address = "Heidelberg", year = "1990", } @ARTICLE{h, author = "F. Hadlock", title = {Finding a maximum cut of a planar graph in polynomial time}, journal = {SIAM Journal on Computing}, year = 1974 , volume = 4, pages = " 221--225", } @ARTICLE{lgs, author = {L. Lov\'asz and M. Gr\"otschel and A. Schrijver}, title = {The ellipsoid method and its consequences in combinatorial optimization}, journal = {Combinatorica}, year = 1981, volume = 1, pages = "169--197", } @BOOK{min, author={M. Minoux and M. Goldran}, title="Graphs and Algorithms", publisher="John Wiley \& Sons", year=1984, } @BOOK{nw, author={G. L. Nemhauser and L. A. Wolsey}, title="Integer and Combinatorial Optimization", publisher="John Wiley \& Sons", year=1988, } @ARTICLE{p, author = "M. Padberg", title = {The boolean quadratic polytope: some characteristics, facets and relatives}, journal = {Mathematical Programming}, year = 1989, volume = 45, pages = "139--172", } @INBOOK{pul, author={W. Pulleyblank}, title="Polyhedral Combinatorics", series="Handbooks of Operations Research and Management Science", volume="I", chapter="Optimization", publisher="North-Holland", year=1989, } @BOOK{sch, author="A. Schrijver", title="Theory of linear and interger programming", publisher="John Wiley \& Sons", year=1986, } @ARTICLE{w, author = "K. Wagner", title = {Beweis einer abschwatchung der hardwiger-vernutung}, journal = {Math. Ann.}, year = 1964, volume = 153, pages = "139--141", } @INPROCEEDINGS{y, author = "M. Yannakakis", title = "Node - and edge - deletion {NP-complete} problems", booktitle = "Proc.\ of the $10^{th}$ Annual Symp.\ on Theory of Computing", organization = "ACM", year = 1978, pages = "253--264", } @UNPUBLISHED{zie, author= " G. M. Ziegler", title="Lectures on Polytopes", month=aug, year=1993, note={Konrad-Zuse-Zentrum f{\"u}r Informationstechnik Berlin (ZIB)}, }