Cluster growth model for treelike structures

S. Havlin, R. Nossal, B. Trus

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


We present a cluster growth model for trees (random aggregates without loops). The intrinsic dimension dl and fractal dimension df are adjustable. We study the skeletons of trees embedded in d=2, and find that the intrinsic dimension of a skeleton is dls=1 for dldlc1.65, and dls1+dl-dlc for dldlc. Thus, for 1dldlc these trees are finitely ramified, and for dlcdl2 infinitely ramified. The possibility that structures are fractals in l space and compact in r space also is discussed.

Original languageEnglish
Pages (from-to)3829-3831
Number of pages3
JournalPhysical Review A
Issue number6
StatePublished - 1985
Externally publishedYes


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