-
1
-
-
70350664499
-
Algebrization: A new barrier in complexity theory
-
54
-
Aaronson, S., and Wigderson, A. 2009. Algebrization: A new barrier in complexity theory. ACM Trans. Comput. Theory 1, 1, 2:1-2:54.
-
(2009)
ACM Trans. Comput. Theory 1
, vol.1
, Issue.2
, pp. 1-2
-
-
Aaronson, S.1
Wigderson, A.2
-
3
-
-
79953863688
-
Non-uniform hardness for np via black-box adversaries
-
Atserias, A. 2005. Non-uniform hardness for np via black-box adversaries. ECCC, report 154.
-
(2005)
ECCC, Report 154
-
-
Atserias, A.1
-
6
-
-
79958865544
-
-
arXiv: 0907.2850v1 [cs.CC]
-
Bürgisser, P., Landsberg, J., Manivel, L., and Weyman, J. 2009. An overview of mathematical issues arising in the geometric complexity theory approach to VP ≠ VNP. arXiv: 0907.2850v1 [cs.CC].
-
(2009)
An Overview of Mathematical Issues Arising in the Geometric Complexity Theory Approach to VP ≠ VNP
-
-
Bürgisser, P.1
Landsberg, J.2
Manivel, L.3
Weyman, J.4
-
8
-
-
0003333971
-
Hodge cycles, motives and shimura varieties
-
Springer, Berlin, Germany
-
Deligne, P., and Milne, J. 1981. Hodge cycles, motives and shimura varieties. Lecture Notes in Mathematics vol. 900, Springer, Berlin, Germany, 101-228
-
(1981)
Lecture Notes in Mathematics
, vol.900
, pp. 101-228
-
-
Deligne, P.1
Milne, J.2
-
10
-
-
38149052235
-
Proving SAT does not have small circuits with an application to the two queries problem
-
Fortnow, L., Pavan, A., and Sengupta, S. 2008. Proving SAT does not have small circuits with an application to the two queries problem. J. Comput. Syst. Sci. 74, 358-363.
-
(2008)
J. Comput. Syst. Sci.
, vol.74
, pp. 358-363
-
-
Fortnow, L.1
Pavan, A.2
Sengupta, S.3
-
11
-
-
0002245052
-
Uber die darstellung der endlichen gruppen durch lineare substitutionen
-
Akad. Wiss, Berlin
-
Frobenius, G. 1897. Uber die darstellung der endlichen gruppen durch lineare substitutionen. In Sitzungsber Deutsch, Akad. Wiss, Berlin, 994-1015.
-
(1897)
Sitzungsber Deutsch
, pp. 994-1015
-
-
Frobenius, G.1
-
12
-
-
36348972029
-
-
Cambridge, University Press, Cambridge, UK
-
Fulton, W. 1997. Young Tableau. Cambridge University Press, Cambridge, UK.
-
(1997)
Young Tableau
-
-
Fulton, W.1
-
13
-
-
0004167856
-
-
Springer, Berlin, Germany
-
Fulton, W., and Harris, J. 1991. Representation Theory, A First Course. Springer, Berlin, Germany.
-
(1991)
Representation Theory, A First Course
-
-
Fulton, W.1
Harris, J.2
-
14
-
-
0003957164
-
-
Springer-Verlag, Berlin, Germany
-
Grötschel, M., Lovász, L., and Schrijver, A. 1993. Geometric Algorithms and Combinatorial Optimization. Springer-Verlag, Berlin, Germany.
-
(1993)
Geometric Algorithms and Combinatorial Optimization
-
-
Grötschel, M.1
Lovász, L.2
Schrijver, A.3
-
15
-
-
26844433633
-
On the complexity of mixed discriminants and related problems
-
Mathematical Foundations of Computer Science 2005: 30th International Symposium, MFCS 2005. Proceedings
-
Gurvits, L. 2005. On the complexity of mixed determinants and related problems. Lecture Notes in Computer Science, vol. 3618. Springer-Verlag, Berlin, Germany, 447-458. (Pubitemid 41449520)
-
(2005)
Lecture Notes in Computer Science
, vol.3618
, pp. 447-458
-
-
Gurvits, L.1
-
17
-
-
15244352005
-
Derandomizing polynomial identity tests means proving circuit lower bounds
-
DOI 10.1007/s00037-004-0182-6
-
Kabanets, V., and Impagliazzo, R. 2004. Derandomizing polynomial identity tests means proving circuit lower bounds. Computat. Compl. 13, 1-46. (Pubitemid 41217703)
-
(2005)
Computational Complexity
, vol.13
, Issue.1-2
, pp. 1-46
-
-
Kabanets, V.1
Impagliazzo, R.2
-
18
-
-
0003037529
-
Reducibility among combinatorial problems
-
Plenum Press, New York
-
Karp, R. 1972. Reducibility among combinatorial problems. In Complexity of Computer Computations, Plenum Press, New York, 85-103.
-
(1972)
Complexity of Computer Computations
, pp. 85-103
-
-
Karp, R.1
-
20
-
-
12144264589
-
Stretched littlewood-richardson coefficients and kostka coefficients
-
American Mathematical Society, Providence
-
King, R., Tollu, C., and Toumazet, F. 2004. Stretched littlewood-richardson coefficients and kostka coefficients. In Symmetry in Physics, American Mathematical Society, Providence, 99-112.
-
(2004)
Symmetry in Physics
, pp. 99-112
-
-
King, R.1
Tollu, C.2
Toumazet, F.3
-
21
-
-
0033423661
-
n(C) tensor products I: Proof of the saturation conjecture
-
n(C) tensor products I: proof of the saturation conjecture. J. Amer. Math. Soc. 12, 1055-1090.
-
(1999)
J. Amer. Math. Soc.
, vol.12
, pp. 1055-1090
-
-
Knutson, A.1
Tao, T.2
-
22
-
-
0001459609
-
Honeycombs and sums of hermitian matrices
-
Knutson, A., and Tao, T. 2001. Honeycombs and sums of hermitian matrices. Notices Amer. Math. Soc. 48, 2, 175-186.
-
(2001)
Notices Amer. Math. Soc.
, vol.48
, Issue.2
, pp. 175-186
-
-
Knutson, A.1
Tao, T.2
-
25
-
-
0000202647
-
Universal sequential search problems
-
Levin, A. 1973. Universal sequential search problems. Prob.Inf. Trans.9, 115-116.
-
(1973)
Prob. Inf. Trans.
, vol.9
, pp. 115-116
-
-
Levin, A.1
-
26
-
-
51249186191
-
Plongements d'espaces homogenes
-
Luna, D., and Vust, T. 1983. Plongements d'espaces homogenes. Comment. Math. Helv. 58, 186-245.
-
(1983)
Comment. Math. Helv.
, vol.58
, pp. 186-245
-
-
Luna, D.1
Vust, T.2
-
27
-
-
26444471866
-
The permanent function
-
Marcus, M., and May, F. 1962. The permanent function. Canad. J. Math. 14, 177-189.
-
(1962)
Canad. J. Math.
, vol.14
, pp. 177-189
-
-
Marcus, M.1
May, F.2
-
28
-
-
0001751788
-
The complexity of the word problems for commutative semigroups and polynomial ideals
-
Mayr, E., and Meyer, A. 1982. The complexity of the word problems for commutative semigroups and polynomial ideals. Adv. Math. 46, 3, 305-329.
-
(1982)
Adv. Math.
, vol.46
, Issue.3
, pp. 305-329
-
-
Mayr, E.1
Meyer, A.2
-
30
-
-
0032667192
-
Lower bounds in a parallel model without bit operations
-
Mulmuley, K. 1999. Lower bounds in a parallel model without bit operations. SIAMJ. Comput. 28, 4, 1460-1509.
-
(1999)
SIAMJ. Comput.
, vol.28
, Issue.4
, pp. 1460-1509
-
-
Mulmuley, K.1
-
31
-
-
80053209740
-
-
Tech. rep. TR-2007-14, Computer Science Department, The University of Chicago, Chicago, IL
-
Mulmuley, K. 2007a. Geometric complexity theory VII: Nonstandard quantum group for the plethysm problem. Tech. rep. TR-2007-14, Computer Science Department, The University of Chicago, Chicago, IL.
-
(2007)
Geometric Complexity Theory VII: Nonstandard Quantum Group for the Plethysm Problem
-
-
Mulmuley, K.1
-
32
-
-
79953871952
-
-
Tech. Rep. TR 2007-15, Computer Science Department, the University of Chicago, Chicago, IL
-
Mulmuley, K. 2007b. Geometric complexity theory VIII: On canonical bases for the nonstandard quantum groups. Tech. rep. TR 2007-15, Computer Science Department, The University of Chicago, Chicago, IL.
-
(2007)
Geometric Complexity Theory VIII: On Canonical Bases for the Nonstandard Quantum Groups
-
-
Mulmuley, K.1
-
35
-
-
79953838702
-
-
Tech. rep., The Computer Science Department, The University of Chicago, Chicago, IL
-
Mulmuley, K. 2010c. Geometric complexity theory VI: The flip via positivity. Tech. rep., The Computer Science Department, The University of Chicago, Chicago, IL.
-
(2010)
Geometric Complexity Theory VI: The Flip Via Positivity
-
-
Mulmuley, K.1
-
36
-
-
79953908668
-
-
Tech. rep., Department of Computer Science, The University of Chicago, Chicago, IL
-
Mulmuley, K., and Narayanan, H. 2007. Geometric complexity theory V: On deciding nonvanishing of a generalized littlewood-richardson coefficient. Tech. rep., Department of Computer Science, The University of Chicago, Chicago, IL.
-
(2007)
Geometric Complexity Theory V: On Deciding Nonvanishing of A Generalized Littlewood-richardson Coefficient
-
-
Mulmuley, K.1
Narayanan, H.2
-
37
-
-
0036242861
-
Geometric complexity theory I: An approach to the P vs. NP and related problems
-
PII S009753970038715X
-
Mulmuley, K., and Sohoni, M. 2001. Geometric complexity theory I: An approach to the P vs. NP and related problems. SIAMJ. Comput. 31, 2, 496-526. (Pubitemid 33782963)
-
(2001)
SIAM Journal on Computing
, vol.31
, Issue.2
, pp. 496-526
-
-
Mulmuley, K.D.1
Sohoni, M.2
-
40
-
-
55249100275
-
Geometric complexity theory II: Towards explicit obstructions for embeddings among class varieties
-
Mulmuley, K., and Sohoni, M. 2008. Geometric complexity theory II: Towards explicit obstructions for embeddings among class varieties. SIAMJ. Comput. 38, 3, 1175-1206.
-
(2008)
SIAMJ. Comput.
, vol.38
, Issue.3
, pp. 1175-1206
-
-
Mulmuley, K.1
Sohoni, M.2
-
42
-
-
0004161969
-
-
Springer-Verlag, Berlin, Germany
-
Mumford, D., Fogarty, J., and Kirwan, F. 1994. Geometric Invariant Theory. Springer-Verlag, Berlin, Germany.
-
(1994)
Geometric Invariant Theory
-
-
Mumford, D.1
Fogarty, J.2
Kirwan, F.3
-
43
-
-
0028516244
-
Hardness vs. randomness
-
Nisan, N., and Wigderson, A. 1994. Hardness vs. randomness. J. Comput.Sys.Sci.49, 2, 149-167.
-
(1994)
J. Comput. Sys. Sci.
, vol.49
, Issue.2
, pp. 149-167
-
-
Nisan, N.1
Wigderson, A.2
-
44
-
-
3543075181
-
A polynomiality property for Littlewood-Richardson coefficients
-
DOI 10.1016/j.jcta.2004.04.003, PII S0097316504000536
-
Rassart, E. 2004. A polynomiality property for littlewood-richardson coefficients. J. Combin. Theory, Series A 107, 2, 161-179. (Pubitemid 39025572)
-
(2004)
Journal of Combinatorial Theory. Series A
, vol.107
, Issue.2
, pp. 161-179
-
-
Rassart, E.1
-
45
-
-
0000574714
-
Lower bounds on the monotone complexity of some Boolean functions
-
Razborov, A. 1985. Lower bounds on the monotone complexity of some Boolean functions. Doklady Akademii Nauk SSSR 281, 798-801.
-
(1985)
Doklady Akademii Nauk SSSR
, vol.281
, pp. 798-801
-
-
Razborov, A.1
-
47
-
-
0003652674
-
-
Cambridge University Press, Cambridge, UK
-
Stanley, R. 1987. Enumerative Combinatorics, vol. 1. Cambridge University Press, Cambridge, UK
-
(1987)
Enumerative Combinatorics
, vol.1
-
-
Stanley, R.1
-
48
-
-
0039957423
-
Rank and optimal computation of generic tensors
-
Strassen, V. 1983. Rank and optimal computation of generic tensors. Lin. Algebra Appl. 53, 645-685
-
(1983)
Lin. Algebra Appl.
, Issue.53
, pp. 645-685
-
-
Strassen, V.1
-
49
-
-
84943702783
-
Relative bilinear complexity and matrix multiplication
-
Strassen, V. 1987. Relative bilinear complexity and matrix multiplication. J. Reigne Angnew. Math. 376, 406-443.
-
(1987)
J. Reigne Angnew. Math.
, vol.376
, pp. 406-443
-
-
Strassen, V.1
-
50
-
-
49249151236
-
The complexity of computing the permanent
-
Valiant, L. 1979. The complexity of computing the permanent. Theor. Comput. Sci. 8, 189-201.
-
(1979)
Theor. Comput. Sci.
, vol.8
, pp. 189-201
-
-
Valiant, L.1
|