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An introduction to tropical convexity


I.A. Fotiou

Seminar Advanced Topics in Discrete Mathematics, WS2004/05, ETH Zurich.

Abstract. This short paper is written in the frame of the seminar Advanced Topics in Discrete Mathematics held during WS2004/05 at ETH Zurich. The layout as well as the content is mostly based on [1]. After an introduction to the tropical semiring and its operations, the convexity notion will be redefined in this tropical setting. Following that, tropical polytopes will be introduced together with some of their properties. Tropical cell complexes will be discussed in the sequel. The paper will conclude with an application area of tropical mathematics in control of discrete event systems. Throughout the paper, the emphasis is on the geometrical intuition. Proofs will be given only in cases of special interest.


Type of Publication:

(09)Non-Refereed Article

Eva M. Feichtner

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