UCT CS Research Document Archive

Are Motorways Rational from Slime Mould's Point of View?

Admatsky, Andrew, Selim Akl, Ramon Alonso-Sanz, Wesley van Dessel, Zuwaire Ibrahim, Andrew Ilachinski, Jeff Jones, Anne V.D.M. Kayem, Genaro Martinez, Pedro de Oliveria, Mikhail Propenko, Theresa Schubert, Peter Sloot, Emmanuele Strano and Xie-She Yang (2012) Are Motorways Rational from Slime Mould's Point of View?. International Journal of Parallel, Emergent, and Distributed Systems.

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Abstract

We analyse the results of our experimental laboratory approximation of motorways networks with slime mould Physarum polycephalum. Motorway networks of fourteen geographical areas are considered: Australia, Africa, Belgium, Brazil, Canada, China, Germany, Iberia, Italy, Malaysia, Mexico, The Netherlands, UK, USA. For each geographical entity we represented major urban areas by oat flakes and inoculated the slime mould in a capital. After slime mould spanned all urban areas with a network of its protoplasmic tubes we extracted a generalised Physarum graph from the network and compared the graphs with an abstract motorway graph using most common measures. The measures employed are the number of independent cycles, cohesion, shortest paths lengths, diameter, the Harary index and the Randic index. We obtained a series of intriguing results, and found that the slime mould approximates best of all the motorway graphs of Belgium, Canada and China, and that for all entities studied the best match between Physarum and motorway graphs is detected by the Randic index (molecular branching index).

EPrint Type:Journal (On-line/Unpaginated)
Keywords:Trans-African Highways, Slime Mould, Computing
Subjects:C Computer Systems Organization: C.3 SPECIAL-PURPOSE AND APPLICATION-BASED SYSTEMS
F Theory of Computation: F.1 COMPUTATION BY ABSTRACT DEVICES
C Computer Systems Organization: C.4 PERFORMANCE OF SYSTEMS
ID Code:816
Deposited By:Kayem, AVDM
Deposited On:02 November 2012
Alternative Locations:http://arxiv.org/abs/1203.2851