Pathless directed topology in connection to the circulation of blood in the heart of human body-Reference-Cited by-同舟云学术

Pathless directed topology in connection to the circulation of blood in the heart of human body

Published:2022 Issue:10 Volume:7 Page:18158-18172
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Othman Hakeem A.¹²,Al-Shamiri Mohammed M.³⁴,Saif Amin⁵,Acharjee Santanu⁶,Lamoudan Tarik³,Ismail Rashad³

Affiliation:

1. Department of Mathematics, AL-Qunfudhah University college, Umm Al-Qura University, KSA

2. Department of Mathematics, Rada'a College of Education and Science, Albaydha University, Yemen

3. Department of Mathematics, Faculty of Sciences and Arts, Mahayl Assir, King Khalid University, KSA

4. Department of Mathematics, Faculty of Sciences, Ibb University, Ibb, Yemen

5. Department of Mathematics, Faculty of Applied Sciences, Taiz University, Taiz, Yemen

6. Department of Mathematics, Gauhati University, Guwahati-781014, Assam, India

Abstract

<abstract><p>We introduce a topology on the set of vertices of a directed graph and we call the topological space as pathless directed topological space. We study relation between the relative topologies and pathless directed topological spaces of E-generated subdirected graphs. Then, we study connectedness, isomorphic and homeomorphic properties in digraphs and pathless directed topological spaces. Moreover, we apply our results to blood circulation process in human heart and disprove Shokry and Aly [M. Shokry and R. E. Aly, Topological properties on graph vs medical application in human heart, Int. J. Appl. Math., 15 (2013), 1103-1109], Nada et al. [S. Nada, A. E. F. El Atik and M. Atef, New types of topological structures via graphs, Math. Method. Appl. Sci., 41 (2018), 5801-5810] and Nawar et al. [A. S. Nawar and A. E. F. A. El-Atik, A model of a human heart via graph nano topological spaces, Int. J. Biomath., 12 (2019), p.1950006]. We show that pathless directed topology is accurately describing the circulation of blood in the heart of human body.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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