## Computing Wave Impact in Self-Organised Mussel Beds

We model the effects of byssal connections made by mussels within patterned mussel beds on bed stability as a disk graph, and propose a formula for assessing which mussels, if any, would get dislodged from the bed under the impact of a wave. We formulate the computation as a flow problem, giving access to efficient algorithms to evaluate the formula. We then analyse the geometry of the graph, and show that we only need to compute a maximum flow in a restricted part of the graph, giving rise to a near-linear solution in practise.

keywords: Computational Geometry, Graphs Theory, UDG

### Workshop or Poster (weakly reviewed)

Johan van de Koppel, Maarten Löffler, Tim Ophelders

Computing Wave Impact in Self-Organised Mussel Beds

Proc. 33rd European Workshop on Computational Geometry

169–172, 2017

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