English

Developments in tropical convexity

Combinatorics 2024-05-28 v1 Optimization and Control

Abstract

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.

Keywords

Cite

@article{arxiv.2405.17005,
  title  = {Developments in tropical convexity},
  author = {Michael Joswig},
  journal= {arXiv preprint arXiv:2405.17005},
  year   = {2024}
}

Comments

21 pages, 5 figures

R2 v1 2026-06-28T16:41:42.364Z