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  Physarum Can Compute Shortest Paths

Bonifaci, V., Mehlhorn, K., & Varma, G. (2012). Physarum Can Compute Shortest Paths. In Y. Ravani (Ed.), Proceedings of the Twenty-Third Annual ACM-SIAM Symposium on Discrete Algorithms (pp. 233-240). Philadelphia, PA: SIAM.

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 Creators:
Bonifaci, Vincenzo1, Author           
Mehlhorn, Kurt1, Author           
Varma, Girish2, Author
Affiliations:
1Algorithms and Complexity, MPI for Informatics, Max Planck Society, ou_24019              
2External Organizations, ou_persistent22              

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 Abstract: Physarum Polycephalum is a slime mold that is apparently able to solve shortest path problems. A mathematical model has been proposed by biologists to describe the feedback mechanism used by the slime mold to adapt its tubular channels while foraging two food sources s_0 and s_1. We prove that, under this model, the mass of the mold will eventually converge to the shortest s_0-s_1 path of the network that the mold lies on, independently of the structure of the network or of the initial mass distribution. This matches the experimental observations by the biologists and can be seen as an example of a "natural algorithm", that is, an algorithm developed by evolution over millions of years.

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Language(s): eng - English
 Dates: 2012
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: BibTex Citekey: Bonifaci2012a
Other: Local-ID: CA211EE0A1B815F8C1257AC200545CEC-Bonifaci2012a
 Degree: -

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Title: Twenty-Third Annual ACM-SIAM Symposium on Discrete Algorithms
Place of Event: Kyoto, Japan
Start-/End Date: 2012-01-17 - 2012-01-19

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Title: Proceedings of the Twenty-Third Annual ACM-SIAM Symposium on Discrete Algorithms
  Abbreviation : SODA 2012
Source Genre: Proceedings
 Creator(s):
Ravani, Yuval1, Editor
Affiliations:
1 External Organizations, ou_persistent22            
Publ. Info: Philadelphia, PA : SIAM
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 233 - 240 Identifier: ISBN: 978-1-611972-11-5