Strong Neutrosophic Graphs and Subgraph Topological Subspaces

Strong Neutrosophic Graphs and Subgraph Topological Subspaces

Author: W. B. Vasantha Kandasamy

Publisher: Infinite Study

Published:

Total Pages:

ISBN-13: 1599734869

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In this book authors for the first time introduce the notion of strong neutrosophic graphs. They are very different from the usual graphs and neutrosophic graphs. Using these new structures special subgraph topological spaces are defined. Further special lattice graph of subgraphs of these graphs are defined and described. Several interesting properties using subgraphs of a strong neutrosophic graph are obtained. Several open conjectures are proposed. These new class of strong neutrosophic graphs will certainly find applications in Neutrosophic Cognitive Maps (NCM), Neutrosophic Relational Maps (NRM) and Neutrosophic Relational Equations (NRE) with appropriate modifications.


Book Synopsis Strong Neutrosophic Graphs and Subgraph Topological Subspaces by : W. B. Vasantha Kandasamy

Download or read book Strong Neutrosophic Graphs and Subgraph Topological Subspaces written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book authors for the first time introduce the notion of strong neutrosophic graphs. They are very different from the usual graphs and neutrosophic graphs. Using these new structures special subgraph topological spaces are defined. Further special lattice graph of subgraphs of these graphs are defined and described. Several interesting properties using subgraphs of a strong neutrosophic graph are obtained. Several open conjectures are proposed. These new class of strong neutrosophic graphs will certainly find applications in Neutrosophic Cognitive Maps (NCM), Neutrosophic Relational Maps (NRM) and Neutrosophic Relational Equations (NRE) with appropriate modifications.

Dombi Interval Valued Neutrosophic Graph and its Role in Traffic Control Management

Dombi Interval Valued Neutrosophic Graph and its Role in Traffic Control Management

Author: D. Nagarajan

Publisher: Infinite Study

Published:

Total Pages: 20

ISBN-13:

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An advantage of dealing indeterminacy is possible only with Neutrosophic Sets. Graph theory plays a vital role in the field of networking. If uncertainty exist in the set of vertices and edge then that can be dealt by fuzzy graphs in any application and using Neutrosophic Graph uncertainty of the problems can be completely dealt with the concept of indeterminacy. In this paper, Dombi Interval Valued Neutrosophic Graph has been proposed and Cartesian product and composition of the proposed graphs have been derived.


Book Synopsis Dombi Interval Valued Neutrosophic Graph and its Role in Traffic Control Management by : D. Nagarajan

Download or read book Dombi Interval Valued Neutrosophic Graph and its Role in Traffic Control Management written by D. Nagarajan and published by Infinite Study. This book was released on with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: An advantage of dealing indeterminacy is possible only with Neutrosophic Sets. Graph theory plays a vital role in the field of networking. If uncertainty exist in the set of vertices and edge then that can be dealt by fuzzy graphs in any application and using Neutrosophic Graph uncertainty of the problems can be completely dealt with the concept of indeterminacy. In this paper, Dombi Interval Valued Neutrosophic Graph has been proposed and Cartesian product and composition of the proposed graphs have been derived.

Subset Vertex Multigraphs and Neutrosophic Multigraphs for Social Multi Networks

Subset Vertex Multigraphs and Neutrosophic Multigraphs for Social Multi Networks

Author: W. B. Vasantha Kandasamy

Publisher: Infinite Study

Published:

Total Pages: 296

ISBN-13: 1599736020

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In this book authors introduce the notion of subset vertex multigraphs for the first time. The study of subset vertex graphs was introduced in 2018, however they are not multiedged, further they were unique once the vertex subsets are given. These subset vertex multigraphs are also unique once the vertex subsets are given and the added advantage is that the number of common elements between two vertex subsets accounts for the number of edges between them, when there is no common element there is no edge between them.


Book Synopsis Subset Vertex Multigraphs and Neutrosophic Multigraphs for Social Multi Networks by : W. B. Vasantha Kandasamy

Download or read book Subset Vertex Multigraphs and Neutrosophic Multigraphs for Social Multi Networks written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book authors introduce the notion of subset vertex multigraphs for the first time. The study of subset vertex graphs was introduced in 2018, however they are not multiedged, further they were unique once the vertex subsets are given. These subset vertex multigraphs are also unique once the vertex subsets are given and the added advantage is that the number of common elements between two vertex subsets accounts for the number of edges between them, when there is no common element there is no edge between them.

INTERVAL TYPE-2 FUZZY SETS AND INTERVAL NEUTROSOPHIC SETS IN INTELLIGENT SYSTEMS

INTERVAL TYPE-2 FUZZY SETS AND INTERVAL NEUTROSOPHIC SETS IN INTELLIGENT SYSTEMS

Author: M. LATHA MAHESWARI M.

Publisher: Infinite Study

Published:

Total Pages: 407

ISBN-13:

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In this thesis, interval type-2 fuzzy sets (IT2FSs) and interval neutrosophic sets (INSs) have been considered for all the proposed concepts. Fusion of information is an essential task to get the optimized solution for any real world problem. In this task, aggregation operators are playing an important role in all the fields. Since most of the realistic problems have uncertainty in nature, one can use the logic of fuzzy and neutrosophic theory. For the entire proposed concepts interval based logic has been used as it handles more uncertainty.


Book Synopsis INTERVAL TYPE-2 FUZZY SETS AND INTERVAL NEUTROSOPHIC SETS IN INTELLIGENT SYSTEMS by : M. LATHA MAHESWARI M.

Download or read book INTERVAL TYPE-2 FUZZY SETS AND INTERVAL NEUTROSOPHIC SETS IN INTELLIGENT SYSTEMS written by M. LATHA MAHESWARI M. and published by Infinite Study. This book was released on with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis, interval type-2 fuzzy sets (IT2FSs) and interval neutrosophic sets (INSs) have been considered for all the proposed concepts. Fusion of information is an essential task to get the optimized solution for any real world problem. In this task, aggregation operators are playing an important role in all the fields. Since most of the realistic problems have uncertainty in nature, one can use the logic of fuzzy and neutrosophic theory. For the entire proposed concepts interval based logic has been used as it handles more uncertainty.

Plithogenic Graphs

Plithogenic Graphs

Author: W. B. Vasantha Kandasamy

Publisher: Infinite Study

Published:

Total Pages: 296

ISBN-13:

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The plithogenic set is a generalization of crisp, fuzzy, intuitionistic fuzzy, and Neutrosophic sets, it is a set whose elements are characterized by many attributes' values. This book gives some possible applications of plithogenic sets defined by Florentin Smarandache (2018). The authors have defined a new class of special type of graphs which can be applied for plithogenic models.


Book Synopsis Plithogenic Graphs by : W. B. Vasantha Kandasamy

Download or read book Plithogenic Graphs written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: The plithogenic set is a generalization of crisp, fuzzy, intuitionistic fuzzy, and Neutrosophic sets, it is a set whose elements are characterized by many attributes' values. This book gives some possible applications of plithogenic sets defined by Florentin Smarandache (2018). The authors have defined a new class of special type of graphs which can be applied for plithogenic models.

Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 24 / 2018

Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 24 / 2018

Author: Florentin Smarandache

Publisher: Infinite Study

Published:

Total Pages: 154

ISBN-13: 1599735989

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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.


Book Synopsis Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 24 / 2018 by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 24 / 2018 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: “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.

Multigraphs for Multi Networks

Multigraphs for Multi Networks

Author: W. B. Vasantha Kandasamy

Publisher: Infinite Study

Published:

Total Pages: 318

ISBN-13: 1599736012

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In this book any network which can be represented as a multigraph is referred to as a multi network. Several properties of multigraphs have been described and developed in this book. When multi path or multi walk or multi trail is considered in a multigraph, it is seen that there can be many multi walks, and so on between any two nodes and this makes multigraphs very different.


Book Synopsis Multigraphs for Multi Networks by : W. B. Vasantha Kandasamy

Download or read book Multigraphs for Multi Networks written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book any network which can be represented as a multigraph is referred to as a multi network. Several properties of multigraphs have been described and developed in this book. When multi path or multi walk or multi trail is considered in a multigraph, it is seen that there can be many multi walks, and so on between any two nodes and this makes multigraphs very different.

Special Subset Vertex Multisubgraphs for Multi Networks

Special Subset Vertex Multisubgraphs for Multi Networks

Author: W. B. Vasantha Kandasamy, Ilanthenral K, Florentin Smarandache

Publisher: Infinite Study

Published:

Total Pages: 253

ISBN-13:

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In this book authors study special type of subset vertex multi subgraphs; these multi subgraphs can be directed or otherwise. Another special feature of these subset vertex multigraphs is that we are aware of the elements in each vertex set and how it affects the structure of both subset vertex multisubgraphs and edge multisubgraphs. It is pertinent to record at this juncture that certain ego centric directed multistar graphs become empty on the removal of one edge, there by theorising the importance, and giving certain postulates how to safely form ego centric multi networks.


Book Synopsis Special Subset Vertex Multisubgraphs for Multi Networks by : W. B. Vasantha Kandasamy, Ilanthenral K, Florentin Smarandache

Download or read book Special Subset Vertex Multisubgraphs for Multi Networks written by W. B. Vasantha Kandasamy, Ilanthenral K, Florentin Smarandache and published by Infinite Study. This book was released on with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book authors study special type of subset vertex multi subgraphs; these multi subgraphs can be directed or otherwise. Another special feature of these subset vertex multigraphs is that we are aware of the elements in each vertex set and how it affects the structure of both subset vertex multisubgraphs and edge multisubgraphs. It is pertinent to record at this juncture that certain ego centric directed multistar graphs become empty on the removal of one edge, there by theorising the importance, and giving certain postulates how to safely form ego centric multi networks.

On Neutrosophic Vague Graphs

On Neutrosophic Vague Graphs

Author: S. Satham Hussain

Publisher: Infinite Study

Published:

Total Pages: 14

ISBN-13:

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In this work, the new concept of neutrosophic vague graphs are introduced form the ideas of neutrosophic vague sets. Moreover, some remarkable properties of strong neutrosophic vague graphs, complete neutrosophic vague graphs and self-complementary neutrosophic vague graphs are investigated and the proposed concepts are described with suitable examples.


Book Synopsis On Neutrosophic Vague Graphs by : S. Satham Hussain

Download or read book On Neutrosophic Vague Graphs written by S. Satham Hussain and published by Infinite Study. This book was released on with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this work, the new concept of neutrosophic vague graphs are introduced form the ideas of neutrosophic vague sets. Moreover, some remarkable properties of strong neutrosophic vague graphs, complete neutrosophic vague graphs and self-complementary neutrosophic vague graphs are investigated and the proposed concepts are described with suitable examples.

The Foundations of Topological Graph Theory

The Foundations of Topological Graph Theory

Author: C.Paul Bonnington

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 179

ISBN-13: 146122540X

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This is not a traditional work on topological graph theory. No current graph or voltage graph adorns its pages. Its readers will not compute the genus (orientable or non-orientable) of a single non-planar graph. Their muscles will not flex under the strain of lifting walks from base graphs to derived graphs. What is it, then? It is an attempt to place topological graph theory on a purely combinatorial yet rigorous footing. The vehicle chosen for this purpose is the con cept of a 3-graph, which is a combinatorial generalisation of an imbedding. These properly edge-coloured cubic graphs are used to classify surfaces, to generalise the Jordan curve theorem, and to prove Mac Lane's characterisation of planar graphs. Thus they playa central role in this book, but it is not being suggested that they are necessarily the most effective tool in areas of topological graph theory not dealt with in this volume. Fruitful though 3-graphs have been for our investigations, other jewels must be examined with a different lens. The sole requirement for understanding the logical development in this book is some elementary knowledge of vector spaces over the field Z2 of residue classes modulo 2. Groups are occasionally mentioned, but no expertise in group theory is required. The treatment will be appreciated best, however, by readers acquainted with topology. A modicum of topology is required in order to comprehend much of the motivation we supply for some of the concepts introduced.


Book Synopsis The Foundations of Topological Graph Theory by : C.Paul Bonnington

Download or read book The Foundations of Topological Graph Theory written by C.Paul Bonnington and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is not a traditional work on topological graph theory. No current graph or voltage graph adorns its pages. Its readers will not compute the genus (orientable or non-orientable) of a single non-planar graph. Their muscles will not flex under the strain of lifting walks from base graphs to derived graphs. What is it, then? It is an attempt to place topological graph theory on a purely combinatorial yet rigorous footing. The vehicle chosen for this purpose is the con cept of a 3-graph, which is a combinatorial generalisation of an imbedding. These properly edge-coloured cubic graphs are used to classify surfaces, to generalise the Jordan curve theorem, and to prove Mac Lane's characterisation of planar graphs. Thus they playa central role in this book, but it is not being suggested that they are necessarily the most effective tool in areas of topological graph theory not dealt with in this volume. Fruitful though 3-graphs have been for our investigations, other jewels must be examined with a different lens. The sole requirement for understanding the logical development in this book is some elementary knowledge of vector spaces over the field Z2 of residue classes modulo 2. Groups are occasionally mentioned, but no expertise in group theory is required. The treatment will be appreciated best, however, by readers acquainted with topology. A modicum of topology is required in order to comprehend much of the motivation we supply for some of the concepts introduced.