-
1
-
-
0013188975
-
A linear time approximation algorithm for the weighted vertex cover problem
-
R. Bar-Yehuda and S. Even: A linear time approximation algorithm for the weighted vertex cover problem. J. Algorithms, 2 (1981), pp. 198-203.
-
(1981)
J. Algorithms
, vol.2
, pp. 198-203
-
-
Bar-Yehuda, R.1
Even, S.2
-
3
-
-
84969134693
-
Efficient solutions to relaxations of combinatorial problems with submodular penalties via the Lovász extension and non-smooth convex optimization
-
F. Chudak and K. Nagano: Efficient solutions to relaxations of combinatorial problems with submodular penalties via the Lovász extension and non-smooth convex optimization. Proceedings of the 18th Annual ACM-SIAM Symposium on Discrete Algorithms (2007), pp. 79-88.
-
(2007)
Proceedings of the 18th Annual ACM-SIAM Symposium on Discrete Algorithms
, pp. 79-88
-
-
Chudak, F.1
Nagano, K.2
-
4
-
-
0002167079
-
Submodular functions, matroids, and certain polyhedra
-
R. Guy, H. Hanani, N. Sauer, and J. Schönheim, eds., Gordon and Breach
-
J. Edmonds: Submodular functions, matroids, and certain polyhedra. Combinatorial Structures and Their Applications, R. Guy, H. Hanani, N. Sauer, and J. Schönheim, eds., Gordon and Breach, 1970, pp. 69-87.
-
(1970)
Combinatorial Structures and their Applications
, pp. 69-87
-
-
Edmonds, J.1
-
5
-
-
0001630960
-
On the existence of a factor of degree one of a connected random graph
-
P. Erdos and A. Rényi: On the existence of a factor of degree one of a connected random graph. Acta Math. Acad. Sci. Hungar., 17 (1966), pp. 359-368.
-
(1966)
Acta Math. Acad. Sci. Hungar.
, vol.17
, pp. 359-368
-
-
Erdos, P.1
Rényi, A.2
-
7
-
-
0041828774
-
A push-relabel framework for sub-modular function minimization and applications to parametric optimization
-
L. Fleischer and S. Iwata: A push-relabel framework for sub-modular function minimization and applications to parametric optimization. Discrete Appl. Math., 131 (2003), pp. 311-322.
-
(2003)
Discrete Appl. Math.
, vol.131
, pp. 311-322
-
-
Fleischer, L.1
Iwata, S.2
-
11
-
-
21844519038
-
Minimizing sub-modular functions over families of sets
-
M. X. Goemans and V. S. Ramakrishnan: Minimizing sub-modular functions over families of sets. Combinatorica, 15 (1995), pp. 499-513.
-
(1995)
Combinatorica
, vol.15
, pp. 499-513
-
-
Goemans, M.X.1
Ramakrishnan, V.S.2
-
12
-
-
51249185617
-
The ellipsoid method and its consequences in combinatorial optimization
-
M. Grötschel, L. Lovász, and A. Schrijver: The ellipsoid method and its consequences in combinatorial optimization. Combinatorica, 1 (1981), pp. 169-197.
-
(1981)
Combinatorica
, vol.1
, pp. 169-197
-
-
Grötschel, M.1
Lovász, L.2
Schrijver, A.3
-
15
-
-
0000253416
-
Approximation algorithms for the set covering and vertex cover problems
-
D. S. Hochbaum: Approximation algorithms for the set covering and vertex cover problems. SIAM J. Comput., 11 (1982), pp. 555-556.
-
(1982)
SIAM J. Comput.
, vol.11
, pp. 555-556
-
-
Hochbaum, D.S.1
-
16
-
-
0002555219
-
Tight bounds and 2-approximation algorithms for integer programs with two variables per inequality
-
D. S. Hochbaum, N. Megiddo, J. Naor and A. Tamir: Tight bounds and 2-approximation algorithms for integer programs with two variables per inequality. Math. Programming, 62 (1993), pp. 69-83.
-
(1993)
Math. Programming
, vol.62
, pp. 69-83
-
-
Hochbaum, D.S.1
Megiddo, N.2
Naor, J.3
Tamir, A.4
-
17
-
-
0141534137
-
A faster scaling algorithm for minimizing submodular functions
-
S. Iwata: A faster scaling algorithm for minimizing submodular functions. SIAM J. Comput, 32 (2003), pp. 833-840.
-
(2003)
SIAM J. Comput
, vol.32
, pp. 833-840
-
-
Iwata, S.1
-
18
-
-
0000335630
-
A combinatorial strongly polynomial algorithm for minimizing submodular functions
-
S. Iwata, L. Fleischer, and S. Fujishige: A combinatorial strongly polynomial algorithm for minimizing submodular functions. Journal of the ACM, 48 (2001), pp. 761-777.
-
(2001)
Journal of the ACM
, vol.48
, pp. 761-777
-
-
Iwata, S.1
Fleischer, L.2
Fujishige, S.3
-
20
-
-
38149105774
-
Vertex cover might be hard to approximate to within 2 - ε
-
S. Khot and O. Regev: Vertex cover might be hard to approximate to within 2 - ε. Journal of Computer and System Sciences, 74 (2008), pp. 335-349.
-
(2008)
Journal of Computer and System Sciences
, vol.74
, pp. 335-349
-
-
Khot, S.1
O. Regev2
-
22
-
-
70449083285
-
Greedy Δ-approximation algorithm for covering with arbitrary constraints and submod-ular cost
-
S. Albers et al. (eds.)
-
C. Koufogiannakis and N. Young: Greedy Δ-approximation algorithm for covering with arbitrary constraints and submod-ular cost. In: S. Albers et al. (eds.) ICALP 2009, Part I, LNCS, vol 5555, pp. 634-652.
-
ICALP 2009, Part I, LNCS
, vol.5555
, pp. 634-652
-
-
Koufogiannakis, C.1
Young, N.2
-
24
-
-
0002716901
-
Submodular functions and convexity
-
A. Bachem, M. Grötschel and B. Korte, eds., Springer-Verlag
-
L. Lovász: Submodular functions and convexity. Mathematical Programming - The State of the Art. A. Bachem, M. Grötschel and B. Korte, eds., Springer-Verlag, 1983, pp. 235-257.
-
(1983)
Mathematical Programming - The State of the Art
, pp. 235-257
-
-
Lovász, L.1
-
26
-
-
67649917781
-
A faster parametric submodular function minimization algorithm and applications
-
University of Tokyo, July
-
K. Nagano: A faster parametric submodular function minimization algorithm and applications. METR 2007-43, University of Tokyo, July 2007.
-
(2007)
METR 2007-43
-
-
Nagano, K.1
-
27
-
-
0016028005
-
Properties of vertex packing and independence system polyhedra
-
G. L. Nemhauser and L. E. Trotter, Jr.: Properties of vertex packing and independence system polyhedra. Math. Programming, 6 (1974), pp. 48-61.
-
(1974)
Math. Programming
, vol.6
, pp. 48-61
-
-
Nemhauser, G.L.1
Trotter Jr., L.E.2
-
28
-
-
17444406259
-
Smooth minimization of non-smooth functions
-
Y. Nesterov: Smooth minimization of non-smooth functions. Math. Programming, 103 (2005), pp. 127-152.
-
(2005)
Math. Programming
, vol.103
, pp. 127-152
-
-
Nesterov, Y.1
-
29
-
-
33144470576
-
Excessive gap technique in nonsmooth convex minimization
-
Y. Nesterov: Excessive gap technique in nonsmooth convex minimization. SIAM J. Optim., 16 (2005), pp. 235-249.
-
(2005)
SIAM J. optim.
, vol.16
, pp. 235-249
-
-
Nesterov, Y.1
-
30
-
-
58149485960
-
A faster strongly polynomial time algorithm for submodular function minimization
-
J. B. Orlin: A faster strongly polynomial time algorithm for submodular function minimization. Math. Programming, 118 (2009), pp. 237-251.
-
(2009)
Math. Programming
, vol.118
, pp. 237-251
-
-
Orlin, J.B.1
-
31
-
-
0034311821
-
A combinatorial algorithm minimizing submodular functions in strongly polynomial time
-
A. Schrijver: A combinatorial algorithm minimizing submodular functions in strongly polynomial time. J. Combinatorial Theory (B), 80 (2000), pp. 346-355.
-
(2000)
J. Combinatorial Theory (B)
, vol.80
, pp. 346-355
-
-
Schrijver, A.1
|