Combinatorial aspects of mixed arrangements

Dong Wu, Yi Hu

Research output: Contribution to journalArticle

Abstract

In this paper, we consider mixed arrangements which are composed of the hyperplanes (or subspaces) and the spheres. We research the posets of their intersection sets and calculate the Möbius functions of the mixed arrangements through the hyperplane (or subspace) arrangements' Möbius functions. Moreover, by the method of deletion and restriction, we calculate the recurse formulas of the triples of these mixed arrangements.

Original languageEnglish (US)
Pages (from-to)343-353
Number of pages11
JournalArs Combinatoria
Volume110
StatePublished - 2013

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Arrangement
Hyperplane
Subspace
Intersection of sets
Calculate
Poset
Deletion
Restriction

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Combinatorial aspects of mixed arrangements. / Wu, Dong; Hu, Yi.

In: Ars Combinatoria, Vol. 110, 2013, p. 343-353.

Research output: Contribution to journalArticle

Wu, Dong ; Hu, Yi. / Combinatorial aspects of mixed arrangements. In: Ars Combinatoria. 2013 ; Vol. 110. pp. 343-353.
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