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Operations on single valued neutrosophic graphs with application

Author: Sumera Naz

Publisher: Infinite Study

Published:

Total Pages: 15

ISBN-13:

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

Author: Muhammad Akram

Publisher: Infinite Study

Published:

Total Pages: 10

ISBN-13:

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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

Author: BROUMI, S.

Publisher: Infinite Study

Published:

Total Pages: 24

ISBN-13:

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Combining the single valued neutrosophic set with graph theory, a new graph model emerges, called single valued neutrosophic graph.

On single-valued co-neutrosophic graphs

Author: R.Dhavaseelan

Publisher: Infinite Study

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Total Pages: 8

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In this paper, we introduce the notion of a single-valued co-neutrosophic graphs and study some methods of construction of new single-valued co-neutrosophic graphs. We compute degree of a vertex, strong single-valued co-neutrosophic graphs and complete single-valued co-neutrosophic graphs. We also introduce and give properties of regular and totally regular single-valued co-neutrosophic graphs.

Single Valued Neutrosophic Graphs

Author: SAID BROUMI

Publisher: Infinite Study

Published:

Total Pages: 16

ISBN-13:

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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.

Operations of Single Valued Neutrosophic Coloring

Author: A. Rohini

Publisher: Infinite Study

Published:

Total Pages: 7

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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.

Certain Single-Valued Neutrosophic Graphs with Application

Author: Muhammad Akram

Publisher: Infinite Study

Published:

Total Pages: 17

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In this research paper, we present certain types of single-valued neutrosophic graphs, including edge regular single-valued neutrosophic graphs and totally edge regular single-valued neutrosophic graphs. We investigate some of their related properties. We describe an application of single-valued neutrosophic graph in decision making process and present the procedure of our method that is used in our application in an algorithm.

Uniform Single Valued Neutrosophic Graphs

Author: S. Broumi

Publisher: Infinite Study

Published:

Total Pages: 8

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In this paper, we propose a new concept named the uniform single valued neutrosophic graph. An illustrative example and some properties are examined. Next, we develop an algorithmic approach for computing the complement of the single valued neutrosophic graph. A numerical example is demonstrated for computing the complement of single valued neutrosophic graphs and uniform single valued neutrosophic graph.

INTERVAL VALUED NEUTROSOPHIC GRAPHS

Author: Said BROUMI

Publisher: Infinite Study

Published:

Total Pages: 8

ISBN-13:

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The notion of interval valued neutrosophic sets is a generalization of fuzzy sets, intuitionistic fuzzy sets, interval valued fuzzy sets, interval valued intuitionstic fuzzy sets and single valued neutrosophic sets. We apply for the first time the concept of interval valued neutrosophic sets, an instance of neutrosophic sets, to graph theory.

Accessible single-valued neutrosophic graphs

Author: M. Hamidi

Publisher: Infinite Study

Published:

Total Pages: 26

ISBN-13:

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This paper derived single-valued neutrosophic graphs from single-valued neutrosophic hypergraphs via strong equivalence relation. We show that any weak single-valued neutrosophic graph is a derived single-valued neutrosophic graph and any linear weak single-valued neutrosophic tree is an extendable linear single-valued neutrosophic tree.