Isomorphic properties of neighborly irregular vague graphs

Article type: Research Article

Authors: Borzooei, R.A.^a | Rashmanlou, Hossein^{b; *} | Jun, Young Bae^c | Mathew, Sunil^d

Affiliations: [a] Department of Mathematics, Shahid Beheshti University, Tehran, Iran | [b] Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran | [c] Department of Mathematics Education, Gyeongsang National University, Jinju, Korea | [d] Department of Mathematics, National Institute of Technology, Calicut, India

Correspondence: [*] Corresponding author. Hossein Rashmanlou, Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran. Tel.: +989384012972; Fax: +98 21 22431652; E-mail: rashmanlou@gmail.com.

Abstract: The main purpose of this paper is to introduce weak isomorphism, co-weak isomorphism and isomorphism of neighborly irregular vague graphs. Some results on order, size and degree of nodes in isomorphic neighborly irregular and isomorphic highly irregular vague graphs are discussed. Isomorphism between neighborly irregular and highly irregular vague graphs are proved to be an equivalence relation. Density and balanced irregular vague graphs are introduced. Finally, an application of vague graphs is given.

Keywords: Weak isomorphism, vague graph, neighborly irregular vague graph

DOI: 10.3233/IFS-152074

Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 6, pp. 3261-3270, 2016