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

Computational intelligence and computer science rely on graph theory to solve combinatorial problems. Normal product and tensor product of an m-polar fuzzy graph have been introduced in this article. Degrees of vertices in various product graphs, like Cartesian product, composition, tensor product,...

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Main Authors: Ch. Ramprasad, P. L. N. Varma, S. Satyanarayana, N. Srinivasarao
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Advances in Fuzzy Systems
Online Access:http://dx.doi.org/10.1155/2017/3817469
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author Ch. Ramprasad
P. L. N. Varma
S. Satyanarayana
N. Srinivasarao
author_facet Ch. Ramprasad
P. L. N. Varma
S. Satyanarayana
N. Srinivasarao
author_sort Ch. Ramprasad
collection DOAJ
description Computational intelligence and computer science rely on graph theory to solve combinatorial problems. Normal product and tensor product of an m-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 μ-complement of an m-polar fuzzy graph are defined and some properties are studied. An application of an m-polar fuzzy graph is also presented in this article.
format Article
id doaj-art-26bcca4fd64d481db6707395bfde0ec3
institution Kabale University
issn 1687-7101
1687-711X
language English
publishDate 2017-01-01
publisher Wiley
record_format Article
series Advances in Fuzzy Systems
spelling doaj-art-26bcca4fd64d481db6707395bfde0ec32025-02-03T06:13:24ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2017-01-01201710.1155/2017/38174693817469Vertex Degrees and Isomorphic Properties in Complement of an m-Polar Fuzzy GraphCh. Ramprasad0P. L. N. Varma1S. Satyanarayana2N. Srinivasarao3Department of Mathematics, Vasireddy Venkatadri Institute of Technology, Nambur 522 508, IndiaDepartment of Mathematics, VFSTR University, Vadlamudi 522 237, IndiaDepartment of CSE, KL University, Vaddeswaram 522502, IndiaDepartment of Mathematics, Tirumala Engineering College, Narasaraopet 522034, IndiaComputational intelligence and computer science rely on graph theory to solve combinatorial problems. Normal product and tensor product of an m-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 μ-complement of an m-polar fuzzy graph are defined and some properties are studied. An application of an m-polar fuzzy graph is also presented in this article.http://dx.doi.org/10.1155/2017/3817469
spellingShingle Ch. Ramprasad
P. L. N. Varma
S. Satyanarayana
N. Srinivasarao
Vertex Degrees and Isomorphic Properties in Complement of an m-Polar Fuzzy Graph
Advances in Fuzzy Systems
title Vertex Degrees and Isomorphic Properties in Complement of an m-Polar Fuzzy Graph
title_full Vertex Degrees and Isomorphic Properties in Complement of an m-Polar Fuzzy Graph
title_fullStr Vertex Degrees and Isomorphic Properties in Complement of an m-Polar Fuzzy Graph
title_full_unstemmed Vertex Degrees and Isomorphic Properties in Complement of an m-Polar Fuzzy Graph
title_short Vertex Degrees and Isomorphic Properties in Complement of an m-Polar Fuzzy Graph
title_sort vertex degrees and isomorphic properties in complement of an m polar fuzzy graph
url http://dx.doi.org/10.1155/2017/3817469
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AT plnvarma vertexdegreesandisomorphicpropertiesincomplementofanmpolarfuzzygraph
AT ssatyanarayana vertexdegreesandisomorphicpropertiesincomplementofanmpolarfuzzygraph
AT nsrinivasarao vertexdegreesandisomorphicpropertiesincomplementofanmpolarfuzzygraph