Incipient spanning cluster on small-world networks
2001 (English)In: Europhysics letters, ISSN 0295-5075, E-ISSN 1286-4854, Vol. 55, no 6, 762-766 p.Article in journal (Refereed) Published
We analyze the scaling properties of the largest cluster size for the site percolation problem on small-world graphs. It is shown how the presence of the extra length-scale, the small-world crossover length xi, influences the fractal dimension D of the spanning cluster. Using the results for dimension d = 2 we nd the critical exponent governing the cluster size distribution tau similar or equal to5/2. This implies that is universal and independent of d in agreement with the conjecture by Moore and Newman.
Place, publisher, year, edition, pages
2001. Vol. 55, no 6, 762-766 p.
IdentifiersURN: urn:nbn:se:umu:diva-91462DOI: 10.1209/epl/i2001-00346-7ISI: 000171086500002OAI: oai:DiVA.org:umu-91462DiVA: diva2:736438