Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4647959 | Discrete Mathematics | 2011 | 7 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
H. Maehara,