Counting Blanks in Polygonal Arrangements
نویسندگان
چکیده
منابع مشابه
Counting External Facets of Simple Hyperplane Arrangements
The number of external facets of a simple arrangement depends on its combinatorial type. A computation framework for counting the number of external facets is introduced and improved by exploiting the combinatorial structure of the set of sign vectors of the cells of the arrangement. 1 Background and introduction n hyperplanes in dimension d form a hyperplane arrangement. An hyperplane arrangem...
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A projective d-arrangement of n hyperplanes H(d, n) is a finite collection of hyperplanes in the real projective space Pd such that no point belongs to every hyperplane of H(d, n). Any arrangement H(d, n) decomposes Pd into a d-dimensional cell complex K . We may call cells of H(d, n) the d-cells of K , and facets of H(d, n) the (d − 1)-cells of K . Clearly any cell of H(d, n) has at least (res...
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ژورنال
عنوان ژورنال: SIAM Journal on Discrete Mathematics
سال: 2018
ISSN: 0895-4801,1095-7146
DOI: 10.1137/16m110407x