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Journal of Applied Mathematics and Computing

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31-07-2020 | Original Research

Generalized neutrosophic planar graphs and its application

Authors: Rupkumar Mahapatra, Sovan Samanta, Madhumangal Pal

Published in: Journal of Applied Mathematics and Computing | Issue 1-2/2021

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Abstract

In the existing definition of a neutrosophic planar graph, there is a limitation. In that definition, the value of falsity in degree of planarity is 1, even then the crisp underline graph is planar. This limitation is removed in the proposed definition. In this study, an advanced concept of the neutrosophic planar graphs is given and investigated the generalized neutrosophic planar graphs (GNPG). The score of planarity is calculated based on the true, falsity and indeterminacy values of degree of planarity to measure the overall planarity of a GNPG. And a few related properties are investigated. A real-life application is presented and solved by this concept of a GNPG.

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Title: Generalized neutrosophic planar graphs and its application
Authors: Rupkumar Mahapatra
Sovan Samanta
Madhumangal Pal
Publication date: 31-07-2020
Publisher: Springer Berlin Heidelberg
Published in: Journal of Applied Mathematics and Computing / Issue 1-2/2021
Print ISSN: 1598-5865
Electronic ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-020-01411-x

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