Expansion of Centered Triangulations
نویسندگان
چکیده
منابع مشابه
Geometric and combinatorial properties of well-centered triangulations in three and higher dimensions
An n-simplex is said to be n-well-centered if its circumcenter lies in its interior. We introduce several other geometric conditions and an algebraic condition that can be used to determine whether a simplex is n-well-centered. These conditions, together with some other observations, are used to describe restrictions on the local combinatorial structure of simplicial meshes in which every simpl...
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For a triangulation and a point, we de ne a directed graph representing the order of the maximal dimensional simplices in the triangulation viewed from the point. We prove that triangulations having a cycle the reverse of which is not a cycle in this graph viewed from some point are forming a (proper) subclass of nonregular triangulations. We use linear programming duality to investigate furthe...
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Triangulation is a convenient tool to consider when we are determining some properties of a topological space. Specifically, we can compute the homology and cohomology groups using the simplicial homology and cohomology of the triangulated space which is much easier than involving more complicated theories. In this paper, we will review the standard proof by Radó of the existence of triangulati...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series B
سال: 1994
ISSN: 0095-8956
DOI: 10.1006/jctb.1994.1034