Layered circle packings

David Dennis and G. Brock Williams

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-12

Abstract:

Given a bounded sequence of integers { d 0 , d 1 , d 2 , … } , 6 ≤ d n ≤ M , there is an associated abstract triangulation created by building up layers of vertices so that vertices on the n th layer have degree d n . This triangulation can be realized via a circle packing which fills either the Euclidean or the hyperbolic plane. We give necessary and sufficient conditions to determine the type of the packing given the defining sequence { d n } .

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:285264

DOI: 10.1155/IJMMS.2005.2429

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