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Advances in Fuzzy Systems
Volume 2017, Article ID 3817469, 9 pages
Research Article

Vertex Degrees and Isomorphic Properties in Complement of an -Polar Fuzzy Graph

1Department of Mathematics, Vasireddy Venkatadri Institute of Technology, Nambur 522 508, India
2Department of Mathematics, VFSTR University, Vadlamudi 522 237, India
3Department of CSE, KL University, Vaddeswaram 522502, India
4Department of Mathematics, Tirumala Engineering College, Narasaraopet 522034, India

Correspondence should be addressed to S. Satyanarayana; moc.liamg@1snaytas.s

Received 22 May 2017; Accepted 5 July 2017; Published 22 August 2017

Academic Editor: Mehmet Onder Efe

Copyright © 2017 Ch. Ramprasad et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Computational intelligence and computer science rely on graph theory to solve combinatorial problems. Normal product and tensor product of an -polar fuzzy graph have been introduced in this article. Degrees of vertices in various product graphs, like Cartesian product, composition, tensor product, and normal product, have been computed. Complement and -complement of an -polar fuzzy graph are defined and some properties are studied. An application of an -polar fuzzy graph is also presented in this article.