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Operations on single valued neutrosophic graphs with application

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Book Synopsis Operations on single valued neutrosophic graphs with application by : Sumera Naz

Download or read book Operations on single valued neutrosophic graphs with application written by Sumera Naz . This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: The concepts of graph theory are applied in many areas of computer science including image segmentation, data mining, clustering, image capturing and networking. Fuzzy graph theory is successfully used in many problems, to handle the uncertainty that occurs in graph theory. A single valued neutrosophic graph (SVNG) is an instance of a neutrosophic graph and a generalization of the fuzzy graph, intuitionistic fuzzy graph, and interval-valued intuitionistic fuzzy graph. In this paper, the basic operations on SVNGs such as direct product, Cartesian product, semi-strong product, strong product, lexicographic product, union, ring sum and join are defined. Moreover, the degree of a vertex in SVNGs formed by these operations in terms of the degree of vertices in the given SVNGs in some particular cases are determined. Finally, an application of single valued neutrosophic digraph (SVNDG) in traval time is provided.

Operations on Single-Valued Neutrosophic Graphs

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Book Synopsis Operations on Single-Valued Neutrosophic Graphs by : Muhammad Akram

Download or read book Operations on Single-Valued Neutrosophic Graphs written by Muhammad Akram. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: The concept of neutrosophic sets can be utilized as a mathematical tool to deal with imprecise and unspecified information. In this paper, we apply the concept of single-valued neutrosophic sets to graphs. We introduce the notion of single-valued neutrosophic graphs, and present some fundamental operations on single-valued neutrosophic graphs. We explore some interesting properties of single-valued neutrosophic graphs by level graphs. We highlight some flaws in the definitions of Broumi et al. [10] and Shah-Hussain [18]. We also present an application of single-valued neutrosophic graphs in social network.

Operations on Interval Valued Neutrosophic Graphs

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Book Synopsis Operations on Interval Valued Neutrosophic Graphs by : BROUMI, S.

Download or read book Operations on Interval Valued Neutrosophic Graphs written by BROUMI, S.. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: Combining the single valued neutrosophic set with graph theory, a new graph model emerges, called single valued neutrosophic graph.

Operations of Single Valued Neutrosophic Coloring

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Book Synopsis Operations of Single Valued Neutrosophic Coloring by : A. Rohini

Download or read book Operations of Single Valued Neutrosophic Coloring written by A. Rohini. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: Smarandache introduced the concept of Neutrosophic which deals with membership, non-membership and indeterminacy values. Wang discussed the Single Valued Neutrosophic sets in 2010. Single Valued Neutrosophic graph was introduced by Broumi and in 2019 Single Valued Neutrosophic coloring was introduced. In this paper, some properties of the Single Valued Neutrosophic Coloring of Strong Single Valued Neutrosophic graph, Complete Single Valued Neutrosophic graph and Complement of Single Valued Neutrosophic graphs are discussed.

Single Valued Neutrosophic Graphs

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Book Synopsis Single Valued Neutrosophic Graphs by : SAID BROUMI

Download or read book Single Valued Neutrosophic Graphs written by SAID BROUMI. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: The notion of single valued neutrosophic sets is a generalization of fuzzy sets, intuitionistic fuzzy sets. We apply the concept of single valued neutrosophic sets, an instance of neutrosophic sets, to graphs. We introduce certain types of single valued neutrosophic graphs (SVNG) and investigate some of their properties with proofs and examples.

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