Constant single valued neutrosophic graphs with applications
Constant single valued neutrosophic graphs with applications

Author: Naeem Jan

Publisher: Infinite Study

Published:

Total Pages: 13

ISBN-13:

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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.

Single-Valued Neutrosophic Graphs
Single-Valued Neutrosophic Graphs

Author: Muhammad Akram

Publisher: Springer

Published: 2018-12-30

Total Pages: 389

ISBN-13: 9811335222

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This book addresses single-valued neutrosophic graphs and their applications. In addition, it introduces readers to a number of central concepts, including certain types of single-valued neutrosophic graphs, energy of single-valued neutrosophic graphs, bipolar single-valued neutrosophic planar graphs, isomorphism of intuitionistic single-valued neutrosophic soft graphs, and single-valued neutrosophic soft rough graphs. Divided into eight chapters, the book seeks to remedy the lack of a mathematical approach to indeterminate and inconsistent information. Chap. 1 presents a concise review of single-valued neutrosophic sets, while Chap. 2 explains the notion of neutrosophic graph structures and explores selected properties of neutrosophic graph structures. Chap. 3 discusses specific bipolar neutrosophic graphs. Chap. 4 highlights the concept of interval-valued neutrosophic graphs, while Chap. 5 presents certain notions concerning interval-valued neutrosophic graph structures. Chap. 6 addresses the concepts of rough neutrosophic digraphs and neutrosophic rough digraphs. Chap. 7 focuses on the concepts of neutrosophic soft graphs and intuitionistic neutrosophic soft graphs, before Chap. 8 rounds out the book by considering neutrosophic soft rough graphs.

Operations on Single-Valued Neutrosophic Graphs
Operations on Single-Valued Neutrosophic Graphs

Author: Muhammad Akram

Publisher: Infinite Study

Published:

Total Pages: 26

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.

Single Valued Neutrosophic Coloring
Single Valued Neutrosophic Coloring

Author: A. Rohini

Publisher: Infinite Study

Published:

Total Pages: 10

ISBN-13:

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Neutrosophic set was introduced by Smarandache in 1998. Due to some real time situation, decision makers deal with uncertainty and inconsistency to identify the best result. Neutrosophic concept helps to investigate the vague or indeterminacy values. Graph structures used to reduce the complications in solving the system of equations for finding the decision of some real-life problems. In this research study, we introduced the single-valued neutrosophic coloring concept. We introduce various notions, single valued neutrosophic vertex coloring, single valued neutrosophic edge coloring, and single valued neutrosophic total coloring and support those definitions with some examples.

Blockchain Single and Interval Valued Neutrosophic Graphs
Blockchain Single and Interval Valued Neutrosophic Graphs

Author: D. Nagarajan

Publisher: Infinite Study

Published:

Total Pages: 13

ISBN-13:

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Blockchain Technology (BCT) is a growing and reliable technology in various fields such as developing business deals, economic environments, social and politics as well. Without having a trusted central party this technology, gives the guarantee for safe and reliable transactions using Bitcoin or Ethereum. In this paper BCT has been considered using Bitcoins. Also Blockchain Single and Interval Valued Neutrosophic Graphs have been proposed and applied in transaction of Bitcoins. Also degree, total degree, minimum and maximum degree have been found for the proposed graphs. Further, comparative analysis is done with advantages and limitations of different types of Blockchain graphs.

Neutrosophic Graphs: A New Dimension to Graph Theory
Neutrosophic Graphs: A New Dimension to Graph Theory

Author: Vasantha Kandasamy

Publisher: Infinite Study

Published: 2015

Total Pages: 127

ISBN-13: 1599733625

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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.

A Study of Regular and Irregular Neutrosophic Graphs with Real Life Applications
A Study of Regular and Irregular Neutrosophic Graphs with Real Life Applications

Author: Liangsong Huang

Publisher: Infinite Study

Published:

Total Pages: 20

ISBN-13:

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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.

Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 22 / 2018
Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 22 / 2018

Author: Florentin Smarandache

Publisher: Infinite Study

Published: 2018

Total Pages: 189

ISBN-13: 1599735873

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“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.

Certain Single-Valued Neutrosophic Graphs with Application
Certain Single-Valued Neutrosophic Graphs with Application

Author: Muhammad Akram

Publisher: Infinite Study

Published:

Total Pages: 17

ISBN-13:

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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.

Accessible single-valued neutrosophic graphs
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.