2024/05/27 by Michael Joswig, Joswig, Michael · 1 citation
Economics, Econometrics and Finance · #14T15 #14T90 #90C24 #Combinatorics (math.CO) #Economic Theory and Policy #FOS: Mathematics #Optimization and Control (math.OC)
paper · pdf · doi:10.48550/arxiv.2405.17005
openalex publication_date 2024/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
The term "tropical convexity" was coined by Develin and Sturmfels who published a landmark paper with that title in 2004. However, the topic has much older roots and is deeply connected to linear and combinatorial optimization and other areas of mathematics. The purpose of this survey is to sketch how that article contributed to shaping the field of tropical geometry as we know it today.