کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4654069 1632813 2010 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the infinitesimal rigidity of weakly convex polyhedra
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
On the infinitesimal rigidity of weakly convex polyhedra
چکیده انگلیسی

The main motivation here is a question: whether any polyhedron which can be subdivided into convex pieces without adding a vertex, and which has the same vertices as a convex polyhedron, is infinitesimally rigid. We prove that it is indeed the case for two classes of polyhedra: those obtained from a convex polyhedron by “denting” at most two edges at a common vertex, and suspensions with a natural subdivision.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: European Journal of Combinatorics - Volume 31, Issue 4, May 2010, Pages 1080–1090
نویسندگان
, ,