Research Article
An Analytical Model for Percolation in Small Link Degree Transportation Networks
@INPROCEEDINGS{10.4108/icst.bict.2014.257857, author={Adrian Fessel and Christina Oettmeier and Hans-G\'{y}nther D\o{}bereiner}, title={An Analytical Model for Percolation in Small Link Degree Transportation Networks}, proceedings={8th International Conference on Bio-inspired Information and Communications Technologies (formerly BIONETICS)}, publisher={ICST}, proceedings_a={BICT}, year={2015}, month={2}, keywords={physarum polycephalum graph theory percolation analytical methods}, doi={10.4108/icst.bict.2014.257857} }- Adrian Fessel
Christina Oettmeier
Hans-Günther Döbereiner
Year: 2015
An Analytical Model for Percolation in Small Link Degree Transportation Networks
BICT
ACM
DOI: 10.4108/icst.bict.2014.257857
Abstract
Microplasmodia of the slime mold Physarum polycephalum form a small link degree transportation network in a percolation transition in order to forage. We model this transition analytically within the con guration model of graph theory utilizing all partaking types of nodes. Quite generally, we nd that at the percolation transition the formation of a small link degree network is topologically highly constrained and only weakly dependent on environmental factors.
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