Universal substructures of percolation clusters: The skeleton

S. Havlin, R. Nossal, B. Trus, G. H. Weiss

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


The authors define the 'skeleton' of a cluster aggregate as the set of all sites belonging to the shortest paths connecting a chosen site with the Lth chemical shell surrounding that site. The fractal properties of skeletons of percolation clusters at criticality have been studied, and it is inferred that the mass of the skeleton Ms scales with the chemical distance l (for l<<L) as Ms approximately (lls), where (dls)=1 is universal for l<or=d<or=6. Numerical evidence which supports this conclusion is presented for d=2, and an analytical proof is given for d=6.

Original languageEnglish
Article number004
Pages (from-to)L957-L960
JournalJournal of Physics A: General Physics
Issue number18
StatePublished - 1984
Externally publishedYes


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