메뉴 건너뛰기




Volumn 67, Issue 6 2, 2003, Pages

Tree networks with causal structure

Author keywords

[No Author keywords available]

Indexed keywords

CALCULATIONS; CONVERGENCE OF NUMERICAL METHODS; CORRELATION METHODS; DIFFERENTIAL EQUATIONS; GRAPH THEORY; INTEGRAL EQUATIONS; ITERATIVE METHODS; LAPLACE TRANSFORMS; MATHEMATICAL MODELS; POISSON DISTRIBUTION; RANDOM PROCESSES;

EID: 42749101974     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (26)

References (45)
  • 1
    • 0036013593 scopus 로고    scopus 로고
    • Recent advances in network studies are reviewed in R. Albert and A.-L. Barabasi, Rev. Mod. Phys. 74, 47 (2002)
    • (2002) Rev. Mod. Phys. , vol.74 , pp. 47
  • 16
    • 33645067779 scopus 로고    scopus 로고
    • e-print cond-mat/0211528
    • A. Vazquez, e-print cond-mat/0211528.
    • Vazquez, A.1
  • 19
    • 33645045997 scopus 로고    scopus 로고
    • e-print cond-mat/212371
    • S. Coulomb and M. Bauer, e-print cond-mat/212371
    • Coulomb, S.1    Bauer, M.2
  • 24
  • 25
    • 33645073792 scopus 로고    scopus 로고
    • e-print cond-mat/0206150
    • M. Bauer, and D. Bernard, e-print cond-mat/0206150.
    • Bauer, M.1    Bernard, D.2
  • 34
    • 33645075578 scopus 로고    scopus 로고
    • A modern and very accessible starting point for a study of analytic combinatorics is the book project by P. Flajolet and R. Sedgewick, http://algo.inria.fr/flajolet.Publications/books.html
    • Flajolet, P.1    Sedgewick, R.2
  • 35
    • 33645092518 scopus 로고    scopus 로고
    • note
    • n are the minifield theory couplings. However, in Ref. [3] all labelings were accepted (maximum entropy model), while in this paper we impose the causality constraint satisfied within a subclass of labelings only.
  • 36
    • 33645046246 scopus 로고    scopus 로고
    • note
    • The structure of a causal tree is determined if one gives the labels of the parents of each node. The root has label 1 and no parent. The node with label has only one parent, the root. There are two candidates for being the parent of the node with label 3: the root and the node with label 2. There are three candidates for being the parent of the node with label 3, etc. Pursuing the argument and counting the number of distinct trees, one obtains the result quoted in the text.
  • 37
    • 33645086796 scopus 로고    scopus 로고
    • note
    • n.
  • 40
    • 0040570979 scopus 로고    scopus 로고
    • erratum: last five lines of Sec. 3.2 erroneous
    • J. Jurkiewicz and A. Krzywicki, Phys. Lett. B 392, 291 (1997) erratum: last five lines of Sec. 3.2 erroneous.
    • (1997) Phys. Lett. B , vol.392 , pp. 291
    • Jurkiewicz, J.1    Krzywicki, A.2
  • 41
    • 33645050785 scopus 로고    scopus 로고
    • note
    • For other kernels, one could perhaps make the appoximation done by the authors of Ref.[6], i.e., assume that A(t) = μN.
  • 42
    • 33645089548 scopus 로고    scopus 로고
    • note
    • Those factors may be important if one wants to consider the thermodynamic limit N→∞.
  • 45
    • 33645076644 scopus 로고    scopus 로고
    • e-print cond-mat/0110574
    • A. Krzywicki, e-print cond-mat/0110574.
    • Krzywicki, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.