Accessible single-valued neutrosophic graphs

Accessible single-valued neutrosophic graphs
Title Accessible single-valued neutrosophic graphs PDF eBook
Author M. Hamidi
Publisher Infinite Study
Pages 26
Release
Genre
ISBN

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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.

Single-Valued Neutrosophic Graphs

Single-Valued Neutrosophic Graphs
Title Single-Valued Neutrosophic Graphs PDF eBook
Author Muhammad Akram
Publisher Springer
Pages 389
Release 2018-12-30
Genre Mathematics
ISBN 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.

Neutrosophic Graphs: A New Dimension to Graph Theory

Neutrosophic Graphs: A New Dimension to Graph Theory
Title Neutrosophic Graphs: A New Dimension to Graph Theory PDF eBook
Author Vasantha Kandasamy
Publisher Infinite Study
Pages 127
Release 2015
Genre Graph theory
ISBN 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.

Application of SuperHyperGraphs-Based Domination Number in Real World

Application of SuperHyperGraphs-Based Domination Number in Real World
Title Application of SuperHyperGraphs-Based Domination Number in Real World PDF eBook
Author M. Hamidi
Publisher Infinite Study
Pages 18
Release 2024-01-01
Genre Mathematics
ISBN

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The concept of (quasi) superhypergraphs as a generalization of graphs makes a relation between some sets of elements in detail and in general (in the form of parts to parts, parts to whole, and whole to whole elements of sets) and is very useful in the real world. This paper considers the novel concept of (quasi) superhypergraphs and introduces the notation of dominating set and domination number of (quasi) super-hypergraphs. Especially, we have analyzed the domination number of uniform (quasi) superhypergraphs and computed their domination number on different cases. The ows (from right to left, from left to right, and two-sided) as maps play a main role in (quasi) superhypergraphs and it is proved that domination numbers of (quasi) superhypergraphs are dependent on the flows. We define the valued-star (quasi) superhyper-graphs for the design of hypernetworks and compute their domination numbers. We have shown that the domination numbers of valued-star (quasi) superhypergraphs are distinct in different flow states. In final, we introduce some applications of dominating sets of (quasi) superhyper-graphs in hypernetwork as computer networks and treatment networks with the optimal application.

Single-Valued Neutrosophic Planar Graphs

Single-Valued Neutrosophic Planar Graphs
Title Single-Valued Neutrosophic Planar Graphs PDF eBook
Author Muhammad Akrama
Publisher Infinite Study
Pages 11
Release
Genre
ISBN

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We apply the concept of single-valued neutrosophic sets to multigraphs, planar graphs and dual graphs. We introduce the notions of single-valued neutrosophic multigraphs, single-valued neutrosophic planar graphs, and single-valued neutrosophic dual graphs. We illustrate these concepts with examples. We also investigate some of their properties.

Derivable Single Valued Neutrosophic Graphs Based on KM-Fuzzy Metric

Derivable Single Valued Neutrosophic Graphs Based on KM-Fuzzy Metric
Title Derivable Single Valued Neutrosophic Graphs Based on KM-Fuzzy Metric PDF eBook
Author MOHAMMAD HAMIDI
Publisher Infinite Study
Pages 20
Release
Genre Mathematics
ISBN

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In this paper we consider the concept of KM-fuzzy metric spaces and we introduce a novel concept of KM-single valued neutrosophic metric graphs based on KM-fuzzy metric spaces. Then we investigate the nite KM-fuzzy metric spaces with respect to KM-fuzzy metrics and we construct the KM-fuzzy metric spaces on any given non-empty sets. We try to extend the concept of KM-fuzzy metric spaces to a larger class of KM-fuzzy metric spaces such as union and product of KM-fuzzy metric spaces and in this regard we investigate the class of products of KM-single valued neutrosophic metric graphs. In the nal, we dene some operations such as tensor product, Cartesian product, semi-strong product, strong product, union, semi-ring sum, suspension, and complement of KM-single valued neutrosophic metric graphs.

Constant single valued neutrosophic graphs with applications

Constant single valued neutrosophic graphs with applications
Title Constant single valued neutrosophic graphs with applications PDF eBook
Author Naeem Jan
Publisher Infinite Study
Pages 13
Release
Genre Mathematics
ISBN

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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.