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Preprint . 1996
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Physical Review Letters
Article . 1996 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 1996
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Physical Review Letters
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Invasion Percolation and Global Optimization

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 13 May 1996Embargo end date: 01 Jan 1996 English Publisher:American Physical Society (APS)Journal:Physical Review Letters, volume 76, pages 3,750-3,753 (issn: 0031-9007, eissn: 1079-7114, Copyright policy )
Authors: Barabás, Albert-László;

doi: 10.1103/physrevlett.76.3750 , 10.48550/arxiv.cond-mat/9602010

pmid: 10061100

arXiv: cond-mat/9602010

Invasion Percolation and Global Optimization

Abstract

Invasion bond percolation (IBP) is mapped exactly into Prim's algorithm for finding the shortest spanning tree of a weighted random graph. Exploring this mapping, which is valid for arbitrary dimensions and lattices, we introduce a new IBP model that belongs to the same universality class as IBP and generates the minimal energy tree spanning the IBP cluster.

4 pages, 3 Postscript figures avaliable from alb@nd.edu, REVTEX

Related Organizations
Keywords

Condensed Matter (cond-mat), FOS: Physical sciences, Condensed Matter

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    selected citations
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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 43
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Top 10%
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
43
Top 10%
Top 10%
Top 10%
Green