Spernerova lema i primjene

Pomper, Jurica (2014) Spernerova lema i primjene. Diploma thesis, Faculty of Science > Department of Mathematics.

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Abstract

Emmanuel Sperner, a German mathematician, was the first to prove a result which will later be named after him and known as Sperner’s lemma, which says that every Sperner triangulation of an n-simplex contains an odd number of fully labelled n-simplexes. We present the proof of that result and apply it on fair division problems, namely on cake cutting and rental division. Besides that we show the connection with the Brouwer’s fixed point theorem and in the end the connection between the Brouwer’s theorem and the game of Hex.

Item Type: Thesis (Diploma thesis)
Supervisor: Kazalicki, Matija
Date: 2014
Number of Pages: 33
Subjects: NATURAL SCIENCES > Mathematics
Divisions: Faculty of Science > Department of Mathematics
Depositing User: Iva Prah
Date Deposited: 17 Jun 2015 11:36
Last Modified: 17 Jun 2015 11:36
URI: http://digre.pmf.unizg.hr/id/eprint/4057

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