The Correspondence Between Graphs and Alexandroff Spaces

Authors

DOI:

https://doi.org/10.26713/cma.v14i1.2128

Keywords:

Graph, Spectral, Prime spectrum, Ring, Alexandroff space

Abstract

In this paper, we study the correspondence between graphs and Alexandroff spaces. It is shown that a topological space \(X\) is Alexandroff if and only if \(X\) is a graph equipped with the \(X\)-right topology.

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References

P. Alexandroff, Diskrete Räume, Matematicheskiy sbornik 2(44)(3) (1937), 501 – 518 (in Russian), URL: https://www.mathnet.ru/links/6e8bdefe22c4647aeff14e7ffe303da4/sm5579.pdf.

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K. H. Rosen, Discrete Mathematics and Its Applications, 7th edition, The McGraw-Hill (2012), URL: https://faculty.ksu.edu.sa/sites/default/files/rosen_discrete_mathematics_and_its_applications_7th_edition.pdf.

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Published

09-05-2023
CITATION

How to Cite

Harbi, B. A. (2023). The Correspondence Between Graphs and Alexandroff Spaces. Communications in Mathematics and Applications, 14(1), 451–457. https://doi.org/10.26713/cma.v14i1.2128

Issue

Vol. 14 No. 1 (2023)

Section

Research Article

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