کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9493130 1630564 2005 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Locally projective polytopes of type {4,3,…,3,p}
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Locally projective polytopes of type {4,3,…,3,p}
چکیده انگلیسی
This paper attempts to classify the locally projective section regular n-polytopes of type {4,3,…,3,p}, that is, to classify polytopes whose facets are cubes or hemicubes, and the vertex figures are spherical or projective polytopes of type {3,…,3,p}, with the facets and vertex figures being not both spherical. Spherical or projective (n−1)-polytopes of type {3,…,3,p} only exist when p⩽4, or p=5 and n−1⩽4, or n−1=2. However, some existence and non-existence results are obtained for other values of p and n. In particular, a link is derived between the existence of polytopes of certain types, and vertex-colourability of certain graphs. The main result of the paper is that locally projective section regular n-polytopes exist only when p=4, or when p=5 and n=4 or 5.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 290, Issue 2, 15 August 2005, Pages 322-336
نویسندگان
,