Abstract
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}.
Original language | English |
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Pages (from-to) | 2429-2440 |
Number of pages | 12 |
Journal | International Journal of Mathematics and Mathematical Sciences |
Volume | 2005 |
Issue number | 15 |
DOIs | |
State | Published - Sep 29 2005 |