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Semidefinite programs and combinatorial optimization (Lecture notes) (1995) [6 citations — 1 self]

Abstract:

this paper, we are only concerned about the last question, which can be answered using semidefinite programming. For a survey of other aspects of such geometric representations, see [64].

Citations

789 Geometric Algorithms and Combinatorial Optimization, Springer-Verlag – Grotschel, Lov'asz, et al. - 1987
606 Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming – Goemans, Williamson - 1995
509 Proof verification and hardness of approximation problems – Arora, Lund, et al. - 1992
442 Semidefinite programming – Vandenberghe, Boyd - 1996
425 Some optimal inapproximability results – Hastad - 1997
387 Interior point methods in semidefinite programming with applications to combinatorial optimization – Alizadeh - 1995
262 Matroids and graphs – Tutte - 1959
224 On the Shannon capacity of a graph – Lov'asz - 1979
223 The ellipsoid method and its consequences in combinatorial optimization – Grotschel, Lov'asz, et al. - 1981
199 Interior point polynomial methods in convex programming: Theory and applications – Nesterov, Nemirovsky - 1994
177 Free bits, PCP and non-approximability - towards tight results – Bellare, Goldreich, et al. - 1998
165 Cones of matrices and set-functions and 0-1 optimization – Lovász, Schrijver - 1991
152 A lift-and-project cutting plane algorithm for mixed 0-1 programs – Balas, Ceria, et al. - 1993
128 Approximate graph coloring by semi-definite programming – Karger, Motwani, et al.
120 Approximating maximum independent sets by excluding subgraphs. BIT – Boppana, Halld'orsson - 1992
100 A hierarchy of relaxations between the continuous and convex hull representations for zero-one programming problems – Sherali, Adams - 1990
85 A 7/8-approximation algorithm for MAX 3SAT – Karloff, Zwick - 1997
80 Two-prover one-round proof systems: Their power and their problems – Feige, Lovász - 1992
79 Complementarity and nondegeneracy in semidefinite programming – Alizadeh, Haeberly, et al. - 1997
78 Approximating the bandwidth via volume respecting embeddings – Feige - 1998
71 On certain polytopes associated with graphs – Chv'atal - 1975
71 Kontaktprobleme der Konformen Abbildung – Koebe - 1936
61 On minimizing the maximum eigenvalue of a symmetric matrix – Overton� - 1988
57 Normal hypergraphs and the perfect graph conjecture, Discrete Mathematics 2 – Lovász - 1972
48 The gap between monotone and non-monotone circuit complexity is exponential, Combinatorica 7 – Tardos - 1987
44 Laplacian eigenvalues and the maximum cut problem – Delorme, Poljak - 1993
43 Polynomial algorithms for perfect graphs – Grotschel, Lovasz, et al. - 1984
38 The geometry and topology of three manifolds – Thurston - 1979
37 Randomized graph products, chromatic numbers, and the Lov'asz #-function – Feige - 1997
36 Explicit Ramsey graphs and orthonormal labelings – Alon - 1994
36 Nonpolyhedral relaxations of graph-bisection problems – Poljak, Rendl - 1992
36 An exact duality theory for semidefinite programming and its complexity implications – RAMANA - 1997
35 Approximating the independence number via the ` function – Alon, Kahale
33 878-approximation algorithms for MAX – Goemans, Williamson - 1994
29 Rubber bands, convex embeddings and graph connectivity – Linial, Lovász, et al. - 1988
28 The algorithmic aspects of the Regularity – Alon, Duke, et al. - 1992
28 Colin de Verdi`ere, Multiplicit'es des valeurs propres et transformations 'etoile-triangle des graphes, preprint – Bacher, Y - 1994
27 The Sandwich Theorem, The Electronic – Knuth - 1994
26 Roth’s estimate of the discrepancy of integer sequences is nearly sharp – Beck, Fiala
26 Stable sets and polynomials – Lovasz - 1994
26 Matroid Theory and its Applications to Electric Network Theory and – Recski - 1989
25 de Verdi`ere, On a new graph invariant and a criterion for planarity, in: Graph Structure Theory – Colin - 1993
21 On the sum of the largest eigenvalues of a symmetric matrix – Overton, Womersley - 1992
20 Combinatorial properties and the complexity of a max-cut approximation – Delorme, Poljak - 1993
20 A semidefinite bound for mixing rates of Markov chains – Kahale - 1996
19 Combinatorial optimization with semi-definite matrices – Alizadeh - 1992
19 Golumbic: Algorithmic Graph Theory and Perfect Graphs – C - 1980
19 On some problems of Lovász concerning the Shannon capacity of a graph – Haemers - 1979
18 The Shannon capacity of a union, Combinatorica 18 – Alon - 1998
17 de Verdi`ere, Sur la multiplicit'e de la premi`ere valeur propre non nulle du laplacien – Colin - 1986