Neutrosophic Graphs: A New Dimension to Graph Theory PDF Download

Author: Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599733625
Category : Graph theory
Languages : en
Pages : 127

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Book Description
Studies to neutrosophic graphs happens to be not only innovative and interesting, but gives a new dimension to graph theory. The classic coloring of edge problem happens to give various results. Neutrosophic tree will certainly find lots of applications in data mining when certain levels of indeterminacy is involved in the problem. Several open problems are suggested.

Author: Shio Gai Quek
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 30

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Book Description
Fuzzy graph theory plays an important role in the study of the symmetry and asymmetry properties of fuzzy graphs. With this in mind, in this paper, we introduce new neutrosophic graph called complex neutrosophic graphs of type 1 (abbr. CNG1). We then present a matrix representation for it and study some properties of this new concept.

Author: Henry Garrett
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 258

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Book Description
New notions are defined in the comparable structures on these three models to understand the behaviors of these models according to the notions. This book is based on neutrosophic graph theory which is designed to study different types of coloring in that graphs to get new ideas and new results. The results concern specific classes of neutrosophic graphs. New notions are defined in the comparable structures on these three models to understand the behaviors of these models according to the notions. This book is based on neutrosophic graph theory which is designed to study different types of coloring in that graphs to get new ideas and new results. The results concern specific classes of neutrosophic graphs.

Author: Sumera Naz
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 15

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Book Description
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.

Author: Hafsa Masood Malik
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 37

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Book Description
In this paper, we apply the notion of soft rough neutrosophic sets to graph theory. We develop certain new concepts, including soft rough neutrosophic graphs, soft rough neutrosophic influence graphs, soft rough neutrosophic influence cycles and soft rough neutrosophic influence trees. We illustrate these concepts with examples, and investigate some of their properties. We solve the decision-making problem by using our proposed algorithm.

Author: S. Broumi
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 8

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Book Description
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.

Author: Liangsong Huang
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 20

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Book Description
Fuzzy graph theory is a useful and well-known tool to model and solve many real-life optimization problems. Since real-life problems are often uncertain due to inconsistent and indeterminate information, it is very hard for an expert to model those problems using a fuzzy graph. A neutrosophic graph can deal with the uncertainty associated with the inconsistent and indeterminate information of any real-world problem, where fuzzy graphs may fail to reveal satisfactory results.

Author: Naeem Jan
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 13

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Book Description
In this paper, we introduced a new concept of single valued neutrosophic graph (SVNG) known as constant single valued neutrosophic graph (CSVNG). Basically, SVNG is a generalization of intuitionistic fuzzy graph (IFG). More specifically, we described and explored somegraph theoretic ideas related to the introduced concepts of CSVNG. An application of CSVNG in a Wi-Fi network system is discussed and a comparison of CSVNG with constant IFG is established showing the worth of the proposed work. Further, several terms like constant function and totally constant function are investigated in the frame-work of CSVNG and their characteristics are studied.

Author: Said BROUMI
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 8

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Book Description
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.

Author: SAID BROUMI
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 16

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Book Description
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.