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Volumn , Issue , 2012, Pages 214-223

On sunflowers and matrix multiplication

Author keywords

Matrix Multiplication; Sunflower Conjecture

Indexed keywords

FAST MATRIX MULTIPLICATION; LOWER BOUNDS; MATRIX MULTIPLICATION; SUNFLOWER CONJECTURE;

EID: 84866494999     PISSN: 10930159     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CCC.2012.26     Document Type: Conference Paper
Times cited : (15)

References (28)
  • 1
    • 51249171493 scopus 로고
    • The monotone circuit complexity of Boolean functions
    • N. Alon and R. B. Boppana. The monotone circuit complexity of Boolean functions. Combinatorica 7 (1987), 1-22.
    • (1987) Combinatorica , vol.7 , pp. 1-22
    • Alon, N.1    Boppana, R.B.2
  • 2
    • 0035650152 scopus 로고    scopus 로고
    • Constructive lower bounds for off-diagonal Ramsey numbers
    • N. Alon and P. Pudlak. Constructive lower bounds for off-diagonal Ramsey numbers. Israel J. Math. 122 (2001), 243-251.
    • (2001) Israel J. Math. , vol.122 , pp. 243-251
    • Alon, N.1    Pudlak, P.2
  • 3
    • 0002877406 scopus 로고
    • On the factorization of the complete uniform hypergraph
    • Infinite and finite sets, Proc. Coll. Keszthely, 1973, (A. Hajnal, R. Rado and V.T. Sós, eds.), North-Holland
    • Zs. Baranyai. On the factorization of the complete uniform hypergraph. In Infinite and finite sets, Proc. Coll. Keszthely, 1973, (A. Hajnal, R. Rado and V.T. Sós, eds.), Colloquia Math. Soc. János Bolyai 10. North-Holland, 1975.
    • (1975) Colloquia Math. Soc. János Bolyai , vol.10
    • Baranyai, Zs.1
  • 7
    • 0344118866 scopus 로고    scopus 로고
    • A group-theoretic approach to fast matrix multiplication
    • H. Cohn and C. Umans. A group-theoretic approach to fast matrix multiplication. In Proceedings of the 44th Annual FOCS, pages 438-449, 2003.
    • (2003) Proceedings of the 44th Annual FOCS , pp. 438-449
    • Cohn, H.1    Umans, C.2
  • 8
    • 85023205150 scopus 로고
    • Matrix multiplication via arithmetic progression
    • D. Coppersmith and S. Winograd. Matrix multiplication via arithmetic progression. J. of Symbolic Computation, 9:251-280, 1990.
    • (1990) J. of Symbolic Computation , vol.9 , pp. 251-280
    • Coppersmith, D.1    Winograd, S.2
  • 10
    • 0942266561 scopus 로고    scopus 로고
    • Extensions of generalized product caps
    • Y. Edel. Extensions of generalized product caps. Designs, Codes and Cryptography 31 (2004), no. 1, 5-14.
    • (2004) Designs, Codes and Cryptography , vol.31 , Issue.1 , pp. 5-14
    • Edel, Y.1
  • 11
    • 0002774077 scopus 로고
    • Intersection theorems for systems of sets
    • P. Erdo{combining double acute accent}s and R. Rado. Intersection theorems for systems of sets. J. London Math. Soc., 35:85-90, 1960.
    • (1960) J. London Math. Soc. , vol.35 , pp. 85-90
    • Erdos, P.1    Rado, R.2
  • 12
    • 84963027310 scopus 로고
    • Intersection theorems for systems of sets II
    • P. Erdo{combining double acute accent}s and R. Rado. Intersection theorems for systems of sets II. J. London Math. Soc., 44:467-479, 1969.
    • (1969) J. London Math. Soc. , vol.44 , pp. 467-479
    • Erdos, P.1    Rado, R.2
  • 13
    • 0043160904 scopus 로고    scopus 로고
    • Some unsolved problems in graph theory and combinatorial analysis
    • Academic Press, London
    • P. Erdo{combining double acute accent}s. Some unsolved problems in graph theory and combinatorial analysis. In Combinatorial Mathematics and its Applications (Proc. Conf., Oxford, 1969), pages 97-109. Academic Press, London, 1971.
    • Combinatorial Mathematics and Its Applications (Proc. Conf., Oxford, 1969) , vol.1971 , pp. 97-109
    • Erdos, P.1
  • 14
    • 0038990102 scopus 로고
    • Problems and results on finite and infinite combinatorial analysis
    • János Bolyai, editor, Infinite and finite sets (Colloq., Keszthely, 1973; dedicated to P. Erdo{combining double acute accent}s on his 60th birthday) Vol. I; North-Holland, Amsterdam
    • P. Erdo{combining double acute accent}s. Problems and results on finite and infinite combinatorial analysis. In János Bolyai, editor, Infinite and finite sets (Colloq., Keszthely, 1973; dedicated to P. Erdo{combining double acute accent}s on his 60th birthday) Vol. I; Colloq. Math. Soc., volume 10, pages 403-424. North-Holland, Amsterdam, 1975.
    • (1975) Colloq. Math. Soc. , vol.10 , pp. 403-424
    • Erdos, P.1
  • 15
    • 51249186204 scopus 로고
    • On the combinatorial problems which I would most like to see solved
    • P. Erdo{combining double acute accent}s. On the combinatorial problems which I would most like to see solved. Combinatorica, 1(1):25-42, 1981.
    • (1981) Combinatorica , vol.1 , Issue.1 , pp. 25-42
    • Erdos, P.1
  • 16
    • 0000441836 scopus 로고
    • Combinatorial properties of systems of sets
    • P. Erdo{combining double acute accent}s and E. Szemerédi. Combinatorial properties of systems of sets. J. Combinatorial Theory Ser. A, 24(3):308-313, 1978.
    • (1978) J. Combinatorial Theory Ser. A , vol.24 , Issue.3 , pp. 308-313
    • Erdos, P.1    Szemerédi, E.2
  • 17
    • 0000158861 scopus 로고
    • Turán type problems
    • Surveys in combinatorics, 1991 Guildford, Cambridge Univ. Press, Cambridge, 1991
    • Z. Füredi. Turán type problems. In Surveys in combinatorics, 1991 (Guildford, 1991), 253-300, London Math. Soc. Lecture Note Ser., 166, Cambridge Univ. Press, Cambridge, 1991.
    • (1991) London Math. Soc. Lecture Note Ser. , vol.166 , pp. 253-300
    • Füredi, Z.1
  • 20
    • 0039582864 scopus 로고    scopus 로고
    • A bound of the cardinality of families not containing Δ-systems
    • The mathematics of Paul Erdo{combining double acute accent}s, II, Springer, Berlin
    • A. V. Kostochka. A bound of the cardinality of families not containing Δ-systems. In: The mathematics of Paul Erdo{combining double acute accent}s, II, 229-235, Algorithms Combin., 14, Springer, Berlin, 1997.
    • (1997) Algorithms Combin. , vol.14 , pp. 229-235
    • Kostochka, A.V.1
  • 21
    • 58149209289 scopus 로고
    • On subsets of finite abelian groups with no 3-term arithmetic progressions
    • R. Meshulam. On subsets of finite abelian groups with no 3-term arithmetic progressions. J. Combin. Theory Ser. A 71 (1995), 168-172.
    • (1995) J. Combin. Theory Ser. A , vol.71 , pp. 168-172
    • Meshulam, R.1
  • 22
    • 0000574714 scopus 로고
    • Lower bounds on the monotone complexity of some Boolean functions
    • Russian
    • A. A. Razborov. Lower bounds on the monotone complexity of some Boolean functions, (Russian). Dokl. Akad. Nauk SSSR 281 (1985), no. 4, 798-801.
    • (1985) Dokl. Akad. Nauk SSSR , vol.281 , Issue.4 , pp. 798-801
    • Razborov, A.A.1
  • 23
    • 0011047766 scopus 로고
    • On sets of integers which contain no three in arithmetic progression
    • R. Salem and D. Spencer. On sets of integers which contain no three in arithmetic progression. Proc. Nat. Acad. Sci. (USA), 28:561 563, 1942.
    • (1942) Proc. Nat. Acad. Sci. (USA) , vol.28 , pp. 561-563
    • Salem, R.1    Spencer, D.2
  • 24
    • 0038990085 scopus 로고
    • Intersection theorems for systems of sets
    • J. Spencer. Intersection theorems for systems of sets. Canadian Math Bulletin, 20(2):249-254, 1977.
    • (1977) Canadian Math Bulletin , vol.20 , Issue.2 , pp. 249-254
    • Spencer, J.1
  • 25
    • 34250487811 scopus 로고
    • Gaussian elimination is not optimal
    • V. Strassen. Gaussian elimination is not optimal. Numer. Math, 13:354-356, 1969.
    • (1969) Numer. Math , vol.13 , pp. 354-356
    • Strassen, V.1
  • 26
    • 84943702783 scopus 로고
    • Relative bilinear complexity and matrix multiplication
    • V. Strassen. Relative bilinear complexity and matrix multiplication. J. Reine Angew. Math., 375/376:406-443, 1987.
    • (1987) J. Reine Angew. Math. , vol.375 , Issue.376 , pp. 406-443
    • Strassen, V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.