On topological spaces generated by simple undirected graphs

SARI, Hatice Kübra; Kopuzlu, Abdullah

doi:10.3934/math.2020355

Makale Tam Makale Uluslararası 2020

On topological spaces generated by simple undirected graphs

Hatice Kübra SARI, Abdullah Kopuzlu

AIMS Mathematics Cilt 5 · Sayı 6 · ss. 5541–5550 · 01.01.2020

DOI ile aç

Özet

In this paper, we study topologies generated by simple undirected graphs without isolated vertices and their properties. We generate firstly a topology using a simple undirected graph without isolated vertices. Moreover, we investigate properties of the topologies generated by certain graphs. Finally,we present continuity and opennes of functions defined from one graph to another via the topologies generated by the graphs. From this point of view, we present necessary and sufficient condition for the topological spaces generated by two different graphs to be homeomorphic.

Anahtar kelimeler

graph theory topological space homeomorphism equivalence of the graphs

Atıf için künye

SARI, H. K., & Kopuzlu, A. (2020). On topological spaces generated by simple undirected graphs. AIMS Mathematics, 5(6), 5541–5550. https://doi.org/10.3934/math.2020355

BibTeX

@article{sari2020-74253,
  author = {SARI, Hatice Kübra and Kopuzlu, Abdullah},
  title = {On topological spaces generated by simple undirected graphs},
  journal = {AIMS Mathematics},
  year = {2020},
  volume = {5},
  number = {6},
  pages = {5541--5550},
  issn = {2473-6988},
  doi = {10.3934/math.2020355},
  url = {https://akademik.atauni.edu.tr/yayinlar/74253-on-topological-spaces-generated-by-simple-undirected-graphs}
}