کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4648037 | 1342390 | 2012 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Combinatorial types of bicyclic polytopes
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We classify the bicyclic polytopes and their vertex figures, up to combinatorial equivalence. These four-dimensional polytopes, which were previously studied by Smilansky, admit abelian groups of orientation-preserving symmetries that act transitively on their vertices. The bicyclic polytopes come in both simplicial and nonsimplicial varieties. It is noteworthy that their facial structures admit an explicit and complete presentation. Their vertex figures are also of interest, and they play a prominent role in the classification; their combinatorial structures are studied in detail here. The ff-vectors of the polytopes and of their vertex figures are given.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Mathematics - Volume 312, Issue 11, 6 June 2012, Pages 1863–1876
Journal: Discrete Mathematics - Volume 312, Issue 11, 6 June 2012, Pages 1863–1876
نویسندگان
T. Bisztriczky, Jim Lawrence,