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Explicit Determination of Gromov-Product Types of Five-Point Metric Spaces

Year 2018, Volume: 6 Issue: 2, 185 - 192, 01.06.2018

Derya Çelik

Abstract

We determine the Gromov-product types of five-point metric spaces in terms of optimal realization types.

Keywords

Finite metric spaces Gromov products Optimal representations

References

  • Dress W. M. A. Trees, tight Extensions of metric spaces, and the cohomological dimension of certain groups: A note on combinatorial properties of metric spaces. Advances in Mathematics 1984; 53: 321-402.
  • Koolen J, Lesser A, Moulton V. Optimal Realizations of Generic 5-point Metrics. European Journal of Combinatorics 2009; 30: 1164-1171.
  • Bilge A. H, Çelik D, Koçak Ş. An equivalence class decomposition of finite metric spaces via Gromov products. Discrete Mathematics 2017; 340: 1928-1932.

Year 2018, Volume: 6 Issue: 2, 185 - 192, 01.06.2018

Derya Çelik

Abstract

References

  • Dress W. M. A. Trees, tight Extensions of metric spaces, and the cohomological dimension of certain groups: A note on combinatorial properties of metric spaces. Advances in Mathematics 1984; 53: 321-402.
  • Koolen J, Lesser A, Moulton V. Optimal Realizations of Generic 5-point Metrics. European Journal of Combinatorics 2009; 30: 1164-1171.
  • Bilge A. H, Çelik D, Koçak Ş. An equivalence class decomposition of finite metric spaces via Gromov products. Discrete Mathematics 2017; 340: 1928-1932.
There are 3 citations in total.

Details

Journal Section Articles
Authors

Derya Çelik This is me

Publication Date June 1, 2018
Published in Issue Year 2018 Volume: 6 Issue: 2

Cite

APA Çelik, D. (2018). Explicit Determination of Gromov-Product Types of Five-Point Metric Spaces. Eskişehir Teknik Üniversitesi Bilim Ve Teknoloji Dergisi B - Teorik Bilimler, 6(2), 185-192.
AMA Çelik D. Explicit Determination of Gromov-Product Types of Five-Point Metric Spaces. Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi B - Teorik Bilimler. June 2018;6(2):185-192.
Chicago Çelik, Derya. “Explicit Determination of Gromov-Product Types of Five-Point Metric Spaces”. Eskişehir Teknik Üniversitesi Bilim Ve Teknoloji Dergisi B - Teorik Bilimler 6, no. 2 (June 2018): 185-92.
EndNote Çelik D (June 1, 2018) Explicit Determination of Gromov-Product Types of Five-Point Metric Spaces. Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi B - Teorik Bilimler 6 2 185–192.
IEEE D. Çelik, “Explicit Determination of Gromov-Product Types of Five-Point Metric Spaces”, Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi B - Teorik Bilimler, vol. 6, no. 2, pp. 185–192, 2018.
ISNAD Çelik, Derya. “Explicit Determination of Gromov-Product Types of Five-Point Metric Spaces”. Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi B - Teorik Bilimler 6/2 (June 2018), 185-192.
JAMA Çelik D. Explicit Determination of Gromov-Product Types of Five-Point Metric Spaces. Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi B - Teorik Bilimler. 2018;6:185–192.
MLA Çelik, Derya. “Explicit Determination of Gromov-Product Types of Five-Point Metric Spaces”. Eskişehir Teknik Üniversitesi Bilim Ve Teknoloji Dergisi B - Teorik Bilimler, vol. 6, no. 2, 2018, pp. 185-92.
Vancouver Çelik D. Explicit Determination of Gromov-Product Types of Five-Point Metric Spaces. Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi B - Teorik Bilimler. 2018;6(2):185-92.