کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4653742 | 1632782 | 2014 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Representing finite convex geometries by relatively convex sets
ترجمه فارسی عنوان
نمایش هندسه های محدب محدود با مجموعه های نسبتا محدب
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات گسسته و ترکیبات
چکیده انگلیسی
A closure system with the anti-exchange axiom is called a convex geometry. One geometry is called a sub-geometry of the other if its closed sets form a sublattice in the lattice of closed sets of the other. We prove that convex geometries of relatively convex sets in nn-dimensional vector space and their finite sub-geometries satisfy the nn-Carousel Rule, which is the strengthening of the nn-Carathéodory property. We also find another property, that is similar to the simplex partition property and independent of 2-Carousel Rule, which holds in sub-geometries of 2-dimensional geometries of relatively convex sets.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: European Journal of Combinatorics - Volume 37, April 2014, Pages 68–78
Journal: European Journal of Combinatorics - Volume 37, April 2014, Pages 68–78
نویسندگان
Kira Adaricheva,