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

Komei Fukuda, Akihisa Tamura, Takeshi Tokuyama

Research output: Contribution to journalArticle

3 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)129-142
Number of pages14
JournalGeometriae Dedicata
Volume47
Issue number2
DOIs
Publication statusPublished - 1993 Aug
Externally publishedYes

Fingerprint

Oriented Matroid
Arrangement
Theorem
Euclidean space
Face

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

A theorem on the average number of subfaces in arrangements and oriented matroids. / Fukuda, Komei; Tamura, Akihisa; Tokuyama, Takeshi.

In: Geometriae Dedicata, Vol. 47, No. 2, 08.1993, p. 129-142.

Research output: Contribution to journalArticle

Fukuda, Komei ; Tamura, Akihisa ; Tokuyama, Takeshi. / A theorem on the average number of subfaces in arrangements and oriented matroids. In: Geometriae Dedicata. 1993 ; Vol. 47, No. 2. pp. 129-142.
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