Browsing by Author "Dennis, David (TTU)"
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Item Layered circle packings(2005) Dennis, David (TTU); Williams, G. Brock (TTU)Given a bounded sequence of integers {d0, d1, d2,...}, 6 ≤ dn ≤ M, there is an associated abstract triangulation created by building up layers of vertices so that vertices on the nth layer have degree dn. 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 {dn}. Copyright © 2005 Hindawi Publishing Corporation.