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

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	129-142
Number of pages	14
Journal	Geometriae Dedicata
Volume	47
Issue number	2
DOIs	https://doi.org/10.1007/BF01266616
Publication status	Published - 1993 Aug 1
Externally published	Yes

ASJC Scopus subject areas

Geometry and Topology

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10.1007/BF01266616

Cite this

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abstract = "It is known that for simple arrangements in the d-dimensional Euclidean space RdThe 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 Rd and for all oriented matroids, and we give combinatorial proofs.",

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

Abstract

ASJC Scopus subject areas

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