Abstract
Given a set \(\mathbf V\) of planar points, for any two points p and q we define β-neighbourhood U β (p,q) as an intersection of two discs with radius β|p − q| / 2 centered at points \(((1-\frac{\beta}{2})p,\frac{\beta}{2}q)\) and \((\frac{\beta}{2}p, (1-\frac{\beta}{2})q)\), β ≥ 1 [150, 160], see examples of the lunes in Fig.7.1. Points p and q are connected by an edge in β-skeleton if the pair’s β-neighbourhood contains no other points from \(\mathbf V\).
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© 2013 Springer-Verlag Berlin Heidelberg
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Adamatzky, A. (2013). Excitable β-Skeletons. In: Reaction-Diffusion Automata: Phenomenology, Localisations, Computation. Emergence, Complexity and Computation, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31078-2_7
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DOI: https://doi.org/10.1007/978-3-642-31078-2_7
Publisher Name: Springer, Berlin, Heidelberg
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