See this document in CiteSeerX!

Combinatorial Optimization: A Survey (1993)  (Make Corrections)  
Martin Grötschel, László Lovász



  Home/Search   Context   Related

 
View or download:
rutgers.edu/techps/1993/9329.ps
unipaderborn.de/f...bOptimcont.ps.gz
unipaderborn.de/fac...CombOptim.ps.gz
Cached:  PS.gz  PS  PDF   Image  Update  Help
Problem Downloading?
From:  dbai.tuwien.ac.at/staff/slany (more)
From:  unipaderborn.de/fachbe...scripts
(Enter author homepages)

Rate this article: (best)
  Comment on this article  
(Enter summary)

Abstract: This paper is a chapter of the forthcoming Handbook of Combinatorics, to be published by North-Holland. It surveys the basic techniques and methods in combinatorial optimization. We organize our material according to the fundamental algorithmic techniques and illustrate them on problems to which these methods have been applied successfully. Special attention is given to approximation algorithms and fast (primal and dual) heuristics. (Update)

Active bibliography (related documents):   More   All
0.5:   The Colin de Verdičre graph parameter - van der Holst, Lovász, Schrijver (1997)   (Correct)
0.5:   Oriented Matroids in Terms of Order Functions - Jaritz (1997)   (Correct)
0.4:   The Markov Chain Monte Carlo Method: An Approach To.. - Jerrum, Sinclair (1996)   (Correct)

Similar documents based on text:   More   All
0.2:   Lattice Basis Reduction and Integer Programming - Aardal (1999)   (Correct)
0.2:   When Does The Positive Semidefiniteness Constraint Help.. - Goemans, Tunçel (2000)   (Correct)
0.2:   Non-Standard Approaches to Integer Programming - Aardal, Weismantel, Wolsey (1999)   (Correct)

BibTeX entry:   (Update)

@misc{ tschel-combinatorial,
  author = "Martin Grötschel and László Lovász",
  title = "Combinatorial Optimization: A Survey",
  url = "citeseer.ist.psu.edu/77239.html" }
Citations (may not include all citations):
1527   Optimization by simulated annealing - Kirckpatrick, Gelatt et al. - 1983
643   Equation of state calculation by fast computing machines (context) - Metropolis, Rosenblut et al. - 1953
518   Integer and Combinatorial Optimization (context) - Nemhauser, Wolsey - 1988  ACM
371   Optimization by simulated annealing: an experimental evaluat.. (context) - Johnson, Aragon et al. - 1989
371   Optimization by simulated annealing: an experimental evaluat.. (context) - Johnson, Aragon et al. - 1991
348   Estimation of Dependences Based on Empirical Data (context) - Vapnik - 1982
333   Geometric Algorithms and Combinatorial Optimization (context) - Grotschel, Lov'asz et al. - 1988
303   Princeton University Press (context) - Ford, Fulkerson et al. - 1962
293   Approximation algorithms for combinatorial problems (context) - Johnson - 1974  ACM   DBLP
218   Probabilistic construction of deterministic algorithms: Appr.. (context) - Raghavan - 1988  ACM   DBLP
149   Fast probabilistic algorithms for verification of polynomial.. (context) - Schwartz - 1980  ACM   DBLP
145   Random generation of combinatorial structures from a uniform.. (context) - Jerrum, Valiant et al. - 1986  DBLP
141   An Effective Heuristic Algorithm for the Traveling Salesman .. (context) - Lin, Kernigham - 1973
124   How to draw a graph (context) - Tutte - 1963
117   The ellipsoid method and its consequences in combinatorial o.. (context) - Grotschel, Lov'asz et al. - 1981
115   Approximating the permanent (context) - Jerrum, Sinclair - 1989
106   Group representations in probability and statistics (context) - Diaconis - 1988
106   Matching is as easy as matrix inversion (context) - Mulmuley, Vazirani et al. - 1987  ACM   DBLP
96   Fast approximation algorithms for the knapsack and sum of su.. (context) - Ibarra, Kim - 1975  ACM   DBLP
87   Approximation algorithms for scheduling unrelated parallel m.. (context) - Lenstra, Shmoys et al. - 1990  ACM   DBLP
84   How easy is local search (context) - Johnson, Papadimitriou et al. - 1988
78   Fast algorithms for geometric traveling salesman problems (context) - Bentley - 1992
77   An approximation algorithm for the generalized assignment pr.. (context) - Shmoys, Tardos - 1993  ACM
56   Conductance and the rapid mixing property for Markov chains:.. (context) - Sinclair, Jerrum - 1988
53   An efficient approximation scheme for the onedimensional bin.. (context) - Karmarkar, Karp - 1982
52   Solving airline crew-scheduling problems by branchand -cut (context) - Hoffman, Padberg - 1992
50   A hierarchy of relaxations between the continuous and convex.. (context) - Sherali, Adams - 1990  DBLP
50   The algorithmic aspects of the Regularity Lemma - Alon, Duke et al. - 1992  ACM   DBLP
46   Laplacian eigenvalues and the maximum cut problem (context) - Delorme, Poljak - 1990  ACM
42   Worst-case analysis of a new heuristic for the travelling sa.. (context) - Christofides - 1976
40   Theory of Integer and Linear Programming (context) - Schrijver - 1986
39   Graphes et Algorithmes (context) - Gondran, Minoux - 1979
36   An application of combinatorial optimization to statistical .. (context) - Barahona, Grotschel et al. - 1988  ACM
36   Resource constrained scheduling as generalized bin packing (context) - Garey, Graham et al. - 1976
34   A cutting plane algorithm for the linear ordering problem (context) - Grotschel, Junger et al. - 1984
33   the history of the minimum spanning tree problem (context) - Graham, Hell - 1985
32   Large cliques elude the Metropolis process (context) - Jerrum - 1992
29   Computing the volume of convex bodies: a case where randomne.. - Dyer, Frieze - 1992
29   Computational results with a cutting plane algorithm for des.. (context) - Grotschel, Monma et al. - 1992
28   Polyhedral Theory (context) - Grotschel, Padberg - 1985
27   Polyhedral computations (context) - Padberg, Grotschel - 1985
25   The time complexity of maximum matching by simulated anneali.. (context) - Sasaki, Hajek - 1988  ACM   DBLP
25   Sampling and integration of near log-concave functions (context) - Applegate, Kannan - 1990  ACM   DBLP
25   Handbooks in Operations Research and Management Science (context) - Nemhauser, Kan et al. - 1989
23   Network flow algorithms (context) - Goldberg, Tardos et al. - 1990
22   Properties of vertex packing and independence system polyhed.. (context) - Nemhauser, Trotter - 1974
22   Simple local search problems that are hard to solve (context) - Schaffer, Yannakakis - 1991
21   Cones of matrices and setfunctions (context) - Lov'asz, Schrijver - 1990
20   the cut polytope (context) - Barahona, Mahjoub - 1986
19   Solution of large-scale symmetric travelling salesman proble.. (context) - Grotschel, Holland - 1991
19   Systems of distinct representatives and linear algebra (context) - Edmonds
18   The travelling salesman problem and minimum spanning trees (context) - Held, Karp - 1970
15   Steepest descent can take exponential time for symmetric con.. (context) - Haken, Luby - 1988
13   An application of simultaneous Diophantine approximation in .. (context) - Frank, Tardos - 1987
13   the asymptotic complexity of matrix multiplication (context) - Coppersmith, Winograd - 1982
12   Send-and-split method for minimum concave-cost network flows (context) - Erickson, Monma et al. - 1987
12   algorithm for maximum matching in general graphs (context) - Even, Kariv - 1975
12   Combinatorial optimization with semi-definite matrices (context) - Alizadeh - 1992  DBLP
11   Discrete and Computational Geometry (context) - Haussler, Welzl et al. - 1987
8   Simulated annealing via Sobolev inequalities (context) - Holley, Stroock - 1988
8   Eigenvalues and the max-cut problem (context) - Mohar, Poljak - 1990
7   Packing Steiner trees: a cutting plane algorithm and computa.. - Grotschel, Martin et al. - 1992
7   An analysis for the greedy algorithm for independence system.. (context) - Korte, Hausmann - 1978
7   A cutting plane algorithm for a clustering problem (context) - Grotschel, Wakabayashi - 1989
5   rd IEEE FOCS (context) - Lov'asz, Simonovits et al. - 1992
5   The effect of the density of states on the Metropolis algori.. (context) - Sasaki - 1991  ACM   DBLP
5   Two combinatorial covering theorems (context) - Stein - 1974
5   and graph connectivity (context) - Linial, Lov'asz et al. - 1988
4   Lov'asz and R (context) - Korte - 1991
4   A survey of the known facets of the cut cone (context) - Deza, Laurent - 1991
4   Finding largest convex subsets (context) - Chv'atal, Klincsek - 1980
4   An improved lower bound for on-line bin-packing algorithms (context) - van Vliet - 1992
4   Almost tight bounds on epsilon-nets (context) - Koml'os, Pach et al. - 1992
3   and random algorithms (context) - Lov'asz, matchings - 1979
3   Akad'emiai Kiad'o - North Holland (context) - Lov'asz, Plummer et al. - 1986
3   Handbooks in Operations Research and Management Science (context) - Junger, Reinelt et al. - 1994
2   Berlin--Heidelberg--New York (context) - Recski, Theory et al. - 1989
2   The Travelling Salesman Problem: a Guided Tour through Combi.. (context) - Lawler, Lenstra et al. - 1985
2   The Travelling Salesman Problem: a Guided Tour through Combi.. (context) - Lenstra, Kan - 1991
2   Orthogonal representations and connectivity of graphs (context) - Lov'asz, Saks et al. - 1989
1   A Random Polynomial Time Algorithm for Approximating the Vol.. (context) - Hayward, Dyer et al. - 1991  ACM   DBLP
1   Integer linear programs for local maximum cuts (context) - Poljak - 1993
1   The factorisation of linear graphs (context) - Tutte - 1947
1   Mathematical Programming: the State of the Art (context) - Bachem, Grotschel et al. - 1983
1   the ratio of optimal fractional and integral covers (context) - Lov'asz - 1975
1   Optimum branchings: J (context) - Edmonds
1   Local optimization and the travelling salesman problem (context) - Sci, Johnson - 1990
1   Approximation algorithms for bin-packing --- and updated sur.. (context) - Coffman, Garey et al. - 1984
1   Cook and V (context) - Applegate, Bixby - 1993
1   Theoretical improvements in algorithmic efficiency for netwo.. (context) - Standards, -- et al. - 1972  ACM   DBLP
1   Bin packing solved within (context) - de la, Lueker - 1981
1   Contributions to Practical Traveling Salesman Problem Solvin.. (context) - Reinelt - 1993
1   Near-optimal allocation algorithms (context) - Johnson - 1973
1   Asymptotics of the spectral gap with applications to the the.. (context) - Phys, Holley et al. - 1989

Online articles have much greater impact   More about CiteSeer.IST   Add search form to your site   Submit documents   Feedback  

CiteSeer.IST - Copyright Penn State and NEC