A theorem on the average number of subfaces in arrangements and oriented matroids

Komei Fukuda; Akihisa Tamura; Takeshi Tokuyama

doi:10.1007/BF01266616

A theorem on the average number of subfaces in arrangements and oriented matroids

Komei Fukuda, Akihisa Tamura, Takeshi Tokuyama

研究成果: Article › 査読

2 被引用数 (Scopus)

抄録

It is known that for simple arrangements in the d-dimensional Euclidean space R^dThe average number of j-dimensional subfaces of a k-dimensional face is less than {Mathematical expression}. In this paper, we show that this is also true for all arrangements in R^d and for all oriented matroids, and we give combinatorial proofs.

本文言語	English
ページ（範囲）	129-142
ページ数	14
ジャーナル	Geometriae Dedicata
巻	47
号	2
DOI	https://doi.org/10.1007/BF01266616
出版ステータス	Published - 1993 8月 1
外部発表	はい

ASJC Scopus subject areas

幾何学とトポロジー

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10.1007/BF01266616

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A theorem on the average number of subfaces in arrangements and oriented matroids

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