메뉴 건너뛰기




Volumn 69, Issue 2 2, 2004, Pages

Clustering of correlated networks

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION METHODS; DATA REDUCTION; GRAPH THEORY; MATHEMATICAL MODELS; POISSON DISTRIBUTION; PROBABILITY; RANDOM PROCESSES;

EID: 42749100573     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.69.027104     Document Type: Article
Times cited : (60)

References (38)
  • 12
    • 33645094543 scopus 로고    scopus 로고
    • S. Maslov, K. Sneppen, and A. Zaliznyak, e-print cond-mat/0205379
    • S. Maslov, K. Sneppen, and A. Zaliznyak, e-print cond-mat/0205379.
  • 19
    • 33645087808 scopus 로고    scopus 로고
    • A. Trusina, S. Maslov, P. Minnhagen, and K. Sneppen, e-print cond-mat/0308339
    • A. Trusina, S. Maslov, P. Minnhagen, and K. Sneppen, e-print cond-mat/0308339.
  • 20
    • 33645081348 scopus 로고    scopus 로고
    • S.N. Dorogovtsev, J.F.F. Mendes, and A.N. Samukhin, e-print cond-mat/0206467
    • S.N. Dorogovtsev, J.F.F. Mendes, and A.N. Samukhin, e-print cond-mat/0206467.
  • 22
    • 0001847481 scopus 로고
    • P. Erd″os and A. Rényi, Publ. Math. (Debrecen) 6, 290 (1959); Publ. Math. Inst. Hung. Acad. Sci. 5, 17 (1960).
    • (1960) Publ. Math. Inst. Hung. Acad. Sci. , vol.5 , pp. 17
  • 24
    • 51249194555 scopus 로고
    • R. Solomonoff and A. Rapoport, Bull. Math. Biophys. 13, 107 (1951); R. Solomonoff, ibid. 14, 153 (1952); A. Rapoport, ibid. 10, 145 (1957).
    • (1952) Bull. Math. Biophys. , vol.14 , pp. 153
    • Solomonoff, R.1
  • 25
    • 51649210138 scopus 로고
    • R. Solomonoff and A. Rapoport, Bull. Math. Biophys. 13, 107 (1951); R. Solomonoff, ibid. 14, 153 (1952); A. Rapoport, ibid. 10, 145 (1957).
    • (1957) Bull. Math. Biophys. , vol.10 , pp. 145
    • Rapoport, A.1
  • 26
    • 0000036529 scopus 로고
    • A. Bekessy, P. Bekessy, and J. Komlos, Stud. Sci. Math. Hung. 7, 343 (1972); E.A. Bender and E.R. Canfield, J. Comb. Theory, Ser. A 24, 296 (1978); B. Bollobás, Eur. J. Comb. 1, 311 (1980); N.C. Wormald, J. Comb. Theory, Ser. B 31, 156 (1981).
    • (1972) Stud. Sci. Math. Hung. , vol.7 , pp. 343
    • Bekessy, A.1    Bekessy, P.2    Komlos, J.3
  • 27
    • 0000664045 scopus 로고
    • A. Bekessy, P. Bekessy, and J. Komlos, Stud. Sci. Math. Hung. 7, 343 (1972); E.A. Bender and E.R. Canfield, J. Comb. Theory, Ser. A 24, 296 (1978); B. Bollobás, Eur. J. Comb. 1, 311 (1980); N.C. Wormald, J. Comb. Theory, Ser. B 31, 156 (1981).
    • (1978) J. Comb. Theory, Ser. A , vol.24 , pp. 296
    • Bender, E.A.1    Canfield, E.R.2
  • 28
    • 85012603843 scopus 로고
    • A. Bekessy, P. Bekessy, and J. Komlos, Stud. Sci. Math. Hung. 7, 343 (1972); E.A. Bender and E.R. Canfield, J. Comb. Theory, Ser. A 24, 296 (1978); B. Bollobás, Eur. J. Comb. 1, 311 (1980); N.C. Wormald, J. Comb. Theory, Ser. B 31, 156 (1981).
    • (1980) Eur. J. Comb. , vol.1 , pp. 311
    • Bollobás, B.1
  • 29
    • 58149404605 scopus 로고
    • A. Bekessy, P. Bekessy, and J. Komlos, Stud. Sci. Math. Hung. 7, 343 (1972); E.A. Bender and E.R. Canfield, J. Comb. Theory, Ser. A 24, 296 (1978); B. Bollobás, Eur. J. Comb. 1, 311 (1980); N.C. Wormald, J. Comb. Theory, Ser. B 31, 156 (1981).
    • (1981) J. Comb. Theory, Ser. B , vol.31 , pp. 156
    • Wormald, N.C.1
  • 31
    • 33645090829 scopus 로고    scopus 로고
    • note
    • There is a hierarchy of minimal constructions of complex networks: (i) the maximally random network with a given degree distribution P(k); (ii) the maximally random network with a given distribution P(k,k′) of the degrees of the nearest-neighbor vertices; (iii) the maximally random network with a given distribution P(k,k′,k″) of the degrees of a triple of connected vertices; and so on. All these are equilibrium networks with a treelike local structure. In this report we discuss only random graphs with a given degree-degree distribution P(k,k′), since any empirical data on P(k,k′,k″) and higher-order multivertex correlations is absent.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.