Sperner's lemma and zero point theorems on a discrete simplex and a discrete simplotope

Takuya Iimura; Kazuo Murota; Akihisa Tamura

doi:10.1016/j.dam.2011.11.018

Sperner's lemma and zero point theorems on a discrete simplex and a discrete simplotope

Takuya Iimura, Kazuo Murota, Akihisa Tamura

数理科学科

研究成果: Article › 査読

抄録

We show two discrete zero point theorems that are derived from Sperner's lemma and a Sperner-like theorem (van der Laan and Talman [Math. Oper. Res. (1982)] [5]; Freund [Math. Oper. Res. (1986)]) [3]. Applications to economic and game models are also presented.

本文言語	English
ページ（範囲）	588-592
ページ数	5
ジャーナル	Discrete Applied Mathematics
巻	160
号	4-5
DOI	https://doi.org/10.1016/j.dam.2011.11.018
出版ステータス	Published - 2012 3月

ASJC Scopus subject areas

離散数学と組合せ数学
応用数学

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10.1016/j.dam.2011.11.018

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Sperner's lemma and zero point theorems on a discrete simplex and a discrete simplotope

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