The DOI matches its Crossref record; 8 of the 8 references it cites were found in a registry or an index.
Backbone and elastic backbone of percolation clusters obtained by the new method of 'burning'
Abstract
The authors introduce a method of obtaining information about percolation clusters in which the clusters are 'burned' in different ways. This method yields the backbone and the elastic backbone, their number of loops, shortest path and other quantities. It works in any dimension and can be applied also to other clusters. They obtain accurate estimates for the backbone exponents in two and three dimensions.
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Citations
Cites
Density of states on fractals : « fractons »
Alexander, S., & Orbach, R. (1982) · Journal de Physique Lettres · doi:10.1051/jphyslet:019820043017062500 · Cited by 2,108
Thermal Phase Transition of the Dilutes-State Potts andn-Vector Models at the Percolation Threshold
Coniglio, A. (1981) · Physical Review Letters · doi:10.1103/physrevlett.46.250 · Cited by 365
Cluster structure near the percolation threshold
Coniglio, A. (1982) · Journal of Physics A: Mathematical and General · doi:10.1088/0305-4470/15/12/032 · Cited by 336
Order propagation near the percolation threshold
Pike, R., & Stanley, H. E. (1981) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/14/5/013 · Cited by 229
Self-citationWeak Interactions and Eötvös Experiments
Haugan, M. P., & Will, C. M. (1976) · Physical Review Letters · doi:10.1103/physrevlett.37.1 · Cited by 149
Skal, A. S., & Shklovskii, B. I. (1975) · Cited by 148
The geometry of the percolation threshold
Kirpatrick, S. (1978) · AIP conference proceedings · doi:10.1063/1.31180 · Cited by 76
Field theoretic approaches to biconnectedness in percolating systems
Harris, A. B., & Lubensky, T. C. (1983) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/16/11/005 · Cited by 26
Cited by
Small-world properties of the Indian railway network
Sen, P., Dasgupta, S., Chatterjee, A., Sreeram, P. A., Mukherjee, G., & Manna, S. S. (2003) · Physical Review E · doi:10.1103/physreve.67.036106 · Cited by 592
Metadata
- Authors
- Herrmann, H. J., Hong, D. C., & Stanley, H. E.
- Venue
- Journal of Physics A: Mathematical and General
- Publisher
- IOP Publishing
- Published
- 1984-04-01
- Volume
- 17
- Issue
- 5
- Pages
- L261-L266
- ISSN
- 0305-4470 (ISSN-L)
- 1361-6447
- OpenAlex
- W2024008630
- Cited by
- 306
- References
- 8
- FWCI
- 11.36
- Type
- journal article
- Language
- en
- Open access
- closed
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- Herrmann, H. J., Hong, D. C., & Stanley, H. E. (1984). Backbone and elastic backbone of percolation clusters obtained by the new method of 'burning'. Journal of Physics A: Mathematical and General. https://doi.org/10.1088/0305-4470/17/5/008
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
