메뉴 건너뛰기




Volumn , Issue , 2005, Pages 1057-1066

Near-independence of permutations and an almost sure polynomial bound on the diameter of the symmetric group

Author keywords

[No Author keywords available]

Indexed keywords

PERMUTATIONS; POLYNOMIAL TIME; STATISTICAL THEORY;

EID: 20744451398     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (29)

References (24)
  • 2
    • 0001527133 scopus 로고
    • The probability of generating the symmetric group
    • L. BABAI: The probability of generating the symmetric group. J. Comb. Th.-A 52 (1989), 148-153.
    • (1989) J. Comb. Th.-A , vol.52 , pp. 148-153
    • Babai, L.1
  • 3
    • 1842538780 scopus 로고    scopus 로고
    • On the diameter of the symmetric group: Polynomial bounds
    • L. BABAI, R. BEALS, Á. SERESS: On the diameter of the symmetric group: polynomial bounds. 15th ACM-SIAM SODA (2004), 1101-1105.
    • (2004) 15th ACM-SIAM SODA , pp. 1101-1105
    • Babai, L.1    Beals, R.2    Seress, Á.3
  • 4
    • 84971790005 scopus 로고
    • On the diameter of random Cayley graphs of the symmetric group
    • L. BABAI, G. L. HETYEI: On the diameter of random Cayley graphs of the symmetric group. Combinatorics, Probability, and Computing 1 (1992), 201-208.
    • (1992) Combinatorics, Probability, and Computing , vol.1 , pp. 201-208
    • Babai, L.1    Hetyei, G.L.2
  • 6
    • 38249034988 scopus 로고
    • On the Degree of Transitivity of Permutation Groups: A Short Proof
    • L. BABAI, Á. SERESS: On the Degree of Transitivity of Permutation Groups: A Short Proof. J. Combinatorial Theory-A 45 (1987), 310-314.
    • (1987) J. Combinatorial Theory-A , vol.45 , pp. 310-314
    • Babai, L.1    Seress, Á.2
  • 7
    • 38249028930 scopus 로고
    • On the diameter of Cayley graphs of the symmetric group
    • L. BABAI, Á. SERESS: On the diameter of Cayley graphs of the symmetric group. J. Combinatorial Theory-A 49 (1988), 175-179.
    • (1988) J. Combinatorial Theory-A , vol.49 , pp. 175-179
    • Babai, L.1    Seress, Á.2
  • 8
    • 0011546673 scopus 로고
    • The probability that some power of a permutation has small degree
    • J. D. BOVEY: The probability that some power of a permutation has small degree. Bull. London Math. Soc. 12 (1980), 47-51.
    • (1980) Bull. London Math. Soc. , vol.12 , pp. 47-51
    • Bovey, J.D.1
  • 9
    • 0000660463 scopus 로고
    • The probability of generating the symmetric group
    • J. D. DIXON: The probability of generating the symmetric group. Math. Z. 110 (1969), 199-205.
    • (1969) Math. Z. , vol.110 , pp. 199-205
    • Dixon, J.D.1
  • 10
    • 0023292356 scopus 로고
    • Computing short generator sequences
    • J. R. DRISCOLL, M. L. FÜRST: Computing short generator sequences. Info. & Comp. 72 (1987), 117-132.
    • (1987) Info. & Comp. , vol.72 , pp. 117-132
    • Driscoll, J.R.1    Fürst, M.L.2
  • 12
    • 34250521577 scopus 로고
    • On some problems of a statistical group theory III
    • P. ERDOS AND P. TURÁN: On some problems of a statistical group theory III, Acta Math. Acad. Sci. Hung. 18 (1967), 309-320.
    • (1967) Acta Math. Acad. Sci. Hung. , vol.18 , pp. 309-320
    • Erdos, P.1    Turán, P.2
  • 13
    • 0000447205 scopus 로고
    • On some problems of a statistical group theory VII
    • P. ERDOS AND P. TURÁN: On some problems of a statistical group theory VII, Period. Math. Hung. 2 (1972), 149-163.
    • (1972) Period. Math. Hung. , vol.2 , pp. 149-163
    • Erdos, P.1    Turán, P.2
  • 14
    • 0013326025 scopus 로고
    • The minimum length generator sequence is NP-hard
    • S. EVEN, O. GOLDREICH: The minimum length generator sequence is NP-hard. J. Algor. 2 (1981), 311-313.
    • (1981) J. Algor. , vol.2 , pp. 311-313
    • Even, S.1    Goldreich, O.2
  • 17
    • 0013184415 scopus 로고    scopus 로고
    • Cayley graphs and interconnection networks
    • NATO Adv. Sci. Inst. Ser. C, Math. Phys. Sci. Kluwer Acad. Publ., Dordrecht
    • M-C. HEYDEMANN: Cayley graphs and interconnection networks. In: Graph Symmetry (Montreal, 1996), NATO Adv. Sci. Inst. Ser. C, Math. Phys. Sci. 497, Kluwer Acad. Publ., Dordrecht 1997, pp. 167-224.
    • (1997) Graph Symmetry (Montreal, 1996) , vol.497 , pp. 167-224
    • Heydemann, M.-C.1
  • 18
    • 84947403595 scopus 로고
    • Probability inequalities for sums of bounded random variables
    • W. HOEFFDING: Probability inequalities for sums of bounded random variables. J. Am. Stat. Assoc. 58 (1963), 13-30.
    • (1963) J. Am. Stat. Assoc. , vol.58 , pp. 13-30
    • Hoeffding, W.1
  • 19
    • 0022050244 scopus 로고
    • The complexity of finding minimum length generator sequences
    • M. R. JERRUM: The complexity of finding minimum length generator sequences. Theoretical Computer Science 36 (1985), 265-289.
    • (1985) Theoretical Computer Science , vol.36 , pp. 265-289
    • Jerrum, M.R.1
  • 20
    • 0031361254 scopus 로고    scopus 로고
    • Finding optimal solutions to Rubik's Cube using pattern databases
    • Amer. Assoc. for Artificial Intelligence
    • R. E. KORF: Finding optimal solutions to Rubik's Cube using pattern databases. In: Proc. 14th Nat. Conf. on Artificial Intelligence (AAAI-97), Amer. Assoc. for Artificial Intelligence, 1997, pp. 700-705.
    • (1997) Proc. 14th Nat. Conf. on Artificial Intelligence (AAAI-97) , pp. 700-705
    • Korf, R.E.1
  • 21
  • 22
    • 0021517562 scopus 로고
    • Permutations of bounded degree generate groups of polynomial diameter
    • P. MCKENZIE: Permutations of bounded degree generate groups of polynomial diameter. Info. Proc. Lett. 19 (1984), 253-254.
    • (1984) Info. Proc. Lett. , vol.19 , pp. 253-254
    • Mckenzie, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.