Idempotent tropical matrices and finite metric spaces

DOI10.1515/advgeom-2013-0034zbMath1310.14050arXiv1203.2480OpenAlexW2963695808MaRDI QIDQ5170686

Marianne Johnson, Mark Kambites

Publication date: 24 July 2014

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.2480

zbMATH Keywords

finite metric spaceidempotent tropical matrixresiduation operatortropical polytope

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Semirings (16Y60) Other groups of matrices (20H99)

Related Items

A congruence on the semiring of normal tropical matrices ⋮ Certain congruences on the semiring of normal tropical matrices ⋮ Matrices commuting with a given normal tropical matrix ⋮ The topology of a quantale valued metric space ⋮ Distances on the tropical line determined by two points ⋮ Convexity of tropical polytopes ⋮ Matrix semigroups over semirings ⋮ On tropical Kleene star matrices and alcoved polytopes ⋮ On the groups associated with a tropical \(n\times n\) matrix