$Star^1$-convex functions on tropical linear spaces of complete graphs

Given a fan $\Delta$ and a cone $\sigma \in \Delta$ let $star^1(\sigma )$ be the set of cones that contain $\sigma$ and are one dimension bigger than $\sigma$ . In this paper we study two cones of piecewise linear functions defined on $\delta$ : the cone of functions which are convex on $star^1(σ\si...

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Bibliographic Details
Main Author: Laura Escobar
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2012-01-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/3076/pdf