Idempotent tropical matrices and finite metric spaces

Article Properties
  • Language
    English
  • Publication Date
    2014/03/01
  • Indian UGC (journal)
  • Citations
    7
  • M. Kambites School of Mathematics, University of Manchester, Manchester M13 9PL, England
  • M. Johnson School of Mathematics, University of Manchester, Manchester M13 9PL, England
Abstract
Cite
Kambites, M., and M. Johnson. “Idempotent Tropical Matrices and Finite Metric Spaces”. Advances in Geometry, vol. 14, no. 2, 2014, pp. 253-76, https://doi.org/10.1515/advgeom-2013-0034.
Kambites, M., & Johnson, M. (2014). Idempotent tropical matrices and finite metric spaces. Advances in Geometry, 14(2), 253-276. https://doi.org/10.1515/advgeom-2013-0034
Kambites M, Johnson M. Idempotent tropical matrices and finite metric spaces. Advances in Geometry. 2014;14(2):253-76.
Citations
Title Journal Journal Categories Citations Publication Date
Certain congruences on the semiring of normal tropical matrices Linear Algebra and its Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2023
On the groups associated with a tropical n × n matrix Linear Algebra and its Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
1 2022
The topology of a quantale valued metric space Fuzzy Sets and Systems
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Engineering (General). Civil engineering (General)
2 2021
Matrix semigroups over semirings

International Journal of Algebra and Computation
  • Science: Mathematics
2019
A congruence on the semiring of normal tropical matrices Linear Algebra and its Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
6 2018
Citations Analysis
The category Science: Mathematics 7 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Convexity of tropical polytopes and was published in 2015. The most recent citation comes from a 2023 study titled Certain congruences on the semiring of normal tropical matrices. This article reached its peak citation in 2015, with 2 citations. It has been cited in 3 different journals. Among related journals, the Linear Algebra and its Applications cited this research the most, with 5 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year