کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4654467 1632845 2006 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Infinite series of extreme Delaunay polytopes
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
Infinite series of extreme Delaunay polytopes
چکیده انگلیسی

Recently, Rybnikov and Erdahl [R. Erdahl, K. Rybnikov, Supertopes, Supertopes.pdf at http://faculty.uml.edu/krybnikov/, 2002] constructed an infinite series of asymmetric extreme lattice Delaunay polytopes PER(n) for dimensions n≥6n≥6. Dutour [M. Dutour, An infinite series of extreme Delaunay polytopes, European J. Combin. (2003) (in press)] constructed another infinite series of asymmetric extreme Delaunay polytopes PDu(n)PDu(n) for all even dimensions n≥6n≥6. An analysis of the first series allows one to construct two two-parametric series P(n;t)P(n;t) and PA(n;t)PA(n;t) of asymmetric extreme Delaunay polytopes such that P(n;1)=PER(n). In addition, for each asymmetric extreme Delaunay polytope PP of dimension nn, an explicit construction of a symmetric extreme Delaunay polytope of dimension n+1n+1 having PP as a section is given.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: European Journal of Combinatorics - Volume 27, Issue 4, May 2006, Pages 481–495
نویسندگان
,