Article ID Journal Published Year Pages File Type
4647959 Discrete Mathematics 2011 7 Pages PDF
Abstract

Let ΣΣ be a polyhedral surface in R3R3 with nn edges. Let LL be the length of the longest edge in ΣΣ, δδ be the minimum value of the geodesic distance from a vertex to an edge that is not incident to the vertex, and θθ be the measure of the smallest face angle in ΣΣ. We prove that ΣΣ can be triangulated into at most CLn/(δθ)CLn/(δθ) planar and rectilinear acute triangles, where CC is an absolute constant.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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