-
2
-
-
79953018930
-
On the solution-space geometry of random constraint satisfaction problems
-
D. Achlioptas, A. Coja-Oghlan, and F. Ricci-Tersenghi. On the solution-space geometry of random constraint satisfaction problems. Rand. Struct. Alg., 38:251-268, 2011.
-
(2011)
Rand. Struct. Alg.
, vol.38
, pp. 251-268
-
-
Achlioptas, D.1
Coja-Oghlan, A.2
Ricci-Tersenghi, F.3
-
3
-
-
20544464593
-
Rigorous location of phase transitions in hard optimization problems
-
DOI 10.1038/nature03602
-
D. Achlioptas, A. Naor, and Y. Peres. Rigorous Location of Phase Transitions in Hard Optimization Problems. Nature, 435:759-764, 2005. (Pubitemid 40839720)
-
(2005)
Nature
, vol.435
, Issue.7043
, pp. 759-764
-
-
Achlioptas, D.1
Naor, A.2
Peres, Y.3
-
5
-
-
40749096896
-
Processes on Unimodular Random Networks
-
D. Aldous and R. Lyons. Processes on Unimodular Random Networks. Elec. J. of Probab., 12:14541508, 2007.
-
(2007)
Elec. J. of Probab.
, vol.12
, pp. 14541508
-
-
Aldous, D.1
Lyons, R.2
-
6
-
-
1842487285
-
The Objective Method: Probabilistic Combinatorial Optimization and Local Weak Convergence
-
H. Kesten, editor, Springer Verlag
-
D. Aldous and J. M. Steele. The Objective Method: Probabilistic Combinatorial Optimization and Local Weak Convergence. In H. Kesten, editor, Probability on discrete structures, pages 1-72. Springer Verlag, 2003.
-
(2003)
Probability on Discrete Structures
, pp. 1-72
-
-
Aldous, D.1
Steele, J.M.2
-
8
-
-
85012603843
-
A probabilistic proof of an asymptotic formula for the number of labelled regular graphs
-
B. Bollobás. A probabilistic proof of an asymptotic formula for the number of labelled regular graphs. Eur. J. Combinatorics, 1:296-307, 1980.
-
(1980)
Eur. J. Combinatorics
, vol.1
, pp. 296-307
-
-
Bollobás, B.1
-
9
-
-
11944253901
-
-
Cambridge University Press, Cambridge
-
B. Bollobás. Random graphs. Cambridge University Press, Cambridge, 2001.
-
(2001)
Random Graphs
-
-
Bollobás, B.1
-
10
-
-
3543003164
-
Rigorous Decimation-Based Construction of Ground Pure States for Spin-Glass Models on Random Lattices
-
S. Cocco, O. Dubois, J. Mandler, and R. Monasson. Rigorous Decimation-Based Construction of Ground Pure States for Spin-Glass Models on Random Lattices. Phys. Rev. Lett., 90:047205, 2003.
-
(2003)
Phys. Rev. Lett.
, vol.90
, pp. 047205
-
-
Cocco, S.1
Dubois, O.2
Mandler, J.3
Monasson, R.4
-
11
-
-
77956016037
-
A better algorithm for random k-sat
-
A. Coja-Oghlan. A better algorithm for random k-sat. SIAM Journal on Computing, 39:2823-2864, 2010.
-
(2010)
SIAM Journal on Computing
, vol.39
, pp. 2823-2864
-
-
Coja-Oghlan, A.1
-
12
-
-
61349102591
-
Finite size scaling for the core of large random hypergraphs
-
A. Dembo and A. Montanari. Finite size scaling for the core of large random hypergraphs. Ann. Appl. Prob., 18:1993-2040, 2008.
-
(2008)
Ann. Appl. Prob.
, vol.18
, pp. 1993-2040
-
-
Dembo, A.1
Montanari, A.2
-
13
-
-
78049395931
-
Gibbs measures and phase transitions on sparse random graphs
-
A. Dembo and A. Montanari. Gibbs measures and phase transitions on sparse random graphs. Braz. J. Probab. Stat., 24:137-211, 2010.
-
(2010)
Braz. J. Probab. Stat.
, vol.24
, pp. 137-211
-
-
Dembo, A.1
Montanari, A.2
-
14
-
-
77955318660
-
Tight Thresholds for Cuckoo Hashing via XORSAT
-
M. Dietzfelbinger, A. Goerdt, M. Mitzenmacher, A. M. an R. Pagh, and M. Rink. Tight Thresholds for Cuckoo Hashing via XORSAT. In Proc. of the 37th International Colloquium on Automata, Languages and Programming, ICALP, pages 213-225, 2010.
-
(2010)
Proc. of the 37th International Colloquium on Automata, Languages and Programming, ICALP
, pp. 213-225
-
-
Dietzfelbinger, M.1
Goerdt, A.2
Mitzenmacher, M.3
An, A.M.4
Pagh, R.5
Rink, M.6
-
16
-
-
0033458154
-
Sharp thresholds of graph proprties, and the k-sat problem
-
E. Friedgut. Sharp thresholds of graph proprties, and the k-sat problem. J. Amer. Math. Soc., 12:1017-1054, 1999.
-
(1999)
J. Amer. Math. Soc.
, vol.12
, pp. 1017-1054
-
-
Friedgut, E.1
-
18
-
-
77956987902
-
Factorization of a 768-Bit RSA Modulus
-
T. Kleinjung, K. Aoki, J. Franke, A. K. Lenstra, E. Thomé, J. W. Bos, P. Gaudry, A. Kruppa, P. L. Montgomery, D. A. Osvik, H. te Riele, A. Timofeev, and P. Zimmermann. Factorization of a 768-Bit RSA Modulus. In Advances in Cryptology CRYPTO 2010, pages 333-350, 2010.
-
(2010)
Advances in Cryptology CRYPTO 2010
, pp. 333-350
-
-
Kleinjung, T.1
Aoki, K.2
Franke, J.3
Lenstra, A.K.4
Thomé, E.5
Bos, J.W.6
Gaudry, P.7
Kruppa, A.8
Montgomery, P.L.9
Osvik, D.A.10
Te Riele, H.11
Timofeev, A.12
Zimmermann, P.13
-
19
-
-
34547273891
-
Gibbs states and the set of solutions of random constraint satisfaction problems
-
DOI 10.1073/pnas.0703685104
-
F. Krzakala, A. Montanari, F. Ricci-Tersenghi, G. Semerjian, and L. Zdeborova. Gibbs states and the set of solutions of random constraint satisfaction problems. Proc. Natl. Acad. Sci., 104:10318-10323, 2007. (Pubitemid 47185663)
-
(2007)
Proceedings of the National Academy of Sciences of the United States of America
, vol.104
, Issue.25
, pp. 10318-10323
-
-
Krzakala, F.1
Montanari, A.2
Ricci-Tersenghi, F.3
Semerjian, G.4
Zdeborova, L.5
-
20
-
-
0031642584
-
Analysis of low density codes and improved designs using irregular graphs
-
M. Luby, M. Mitzenmacher, A. Shokrollahi, and D. A. Spielman. Analysis of low density codes and improved designs using irregular graphs. In Proc. of the 30th ACM Symposium on Theory of Computing, STOC, pages 249-258, 1998.
-
(1998)
Proc. of the 30th ACM Symposium on Theory of Computing, STOC
, pp. 249-258
-
-
Luby, M.1
Mitzenmacher, M.2
Shokrollahi, A.3
Spielman, D.A.4
-
21
-
-
0035246316
-
Efficient erasure correcting codes
-
DOI 10.1109/18.910575, PII S0018944801007350
-
M. Luby, M. Mitzenmacher, A. Shokrollahi, and D. A. Spielman. Efficient erasure correcting codes. IEEE Trans. Inform. Theory, 47(2):569-584, 2001. (Pubitemid 32318090)
-
(2001)
IEEE Transactions on Information Theory
, vol.47
, Issue.2
, pp. 569-584
-
-
Luby, M.G.1
Mitzenmacher, M.2
Shokrollahi, M.A.3
Spielman, D.A.4
-
24
-
-
0037008520
-
Analytic and Algorithmic Solution of Random Satisfiability Problems
-
M. Mézard, G. Parisi, and R. Zecchina. Analytic and Algorithmic Solution of Random Satisfiability Problems. Science, 297:812-815, 2003.
-
(2003)
Science
, vol.297
, pp. 812-815
-
-
Mézard, M.1
Parisi, G.2
Zecchina, R.3
-
25
-
-
0242565431
-
Two solutions to diluted p-spin models and XORSAT problems
-
M. Mézard, F. Ricci-Tersenghi, and R. Zecchina. Two solutions to diluted p-spin models and XORSAT problems. J. Stat. Phys., 111:505-533, 2003.
-
(2003)
J. Stat. Phys.
, vol.111
, pp. 505-533
-
-
Mézard, M.1
Ricci-Tersenghi, F.2
Zecchina, R.3
-
26
-
-
24144432057
-
Cores in random hypergraphs and Boolean formulas
-
DOI 10.1002/rsa.20061
-
M. Molloy. Cores in random hypergraphs and boolean formulas. Rand. Struct. Alg., 27:124-135, 2005. (Pubitemid 41229043)
-
(2005)
Random Structures and Algorithms
, vol.27
, Issue.1
, pp. 124-135
-
-
Molloy, M.1
-
27
-
-
0033536221
-
Determining computational complexity from characteristic 'phase transitions'
-
DOI 10.1038/22055
-
R. Monasson, R. Zecchina, S. Kirkpatrick, B. Selman, and L. Troyansky. Determining computational complexity from characteristic phase transitions. Nature, 400:133-137, 1999. (Pubitemid 29327535)
-
(1999)
Nature
, vol.400
, Issue.6740
, pp. 133-137
-
-
Monasson, R.1
Zecchina, R.2
Kirkpatrick, S.3
Selman, B.4
Troyansky, L.5
-
29
-
-
0010746686
-
The asymptotic distribution of short cycles in random regular graphs
-
N. C. Wormald. The asymptotic distribution of short cycles in random regular graphs. Journal of Combinatorial Theory, Series B, 31(2):168-182, 1981.
-
(1981)
Journal of Combinatorial Theory, Series B
, vol.31
, Issue.2
, pp. 168-182
-
-
Wormald, N.C.1
-
30
-
-
0000537111
-
Models of random regular graphs
-
J. D. Lamb and D. A. Preece, editors, Surveys in Combinatorics, 1999, Cambridge University Press
-
N. C. Wormald. Models of random regular graphs. In J. D. Lamb and D. A. Preece, editors, Surveys in Combinatorics, 1999, London Mathematical Society Lecture Note Series, pages 239-298. Cambridge University Press, 1999.
-
(1999)
London Mathematical Society Lecture Note Series
, pp. 239-298
-
-
Wormald, N.C.1
|