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Author: W. B. Vasantha Kandasamy Publisher: Infinite Study ISBN: 1599736020 Category : Mathematics Languages : en Pages : 296
Book Description
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.
Author: W. B. Vasantha Kandasamy Publisher: Infinite Study ISBN: 1599736020 Category : Mathematics Languages : en Pages : 296
Book Description
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.
Author: W. B. Vasantha Kandasamy, Ilanthenral K, Florentin Smarandache Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 253
Book Description
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.
Author: W. B. Vasantha Kandasamy Publisher: Infinite Study ISBN: 1599735636 Category : Mathematics Languages : en Pages : 288
Book Description
In this book authors for the first time introduce the new notion of special subset vertex subgraph of subset vertex graphs introduced recently. These subset vertex graphs takes the vertex set values from the power set P(X) of any set X. The main speciality of these subset vertex graphs is that once a set of subsets from P(X) is given, the edges of the graph are fixed in a unique way, so for a given collection of subset vertices the graph is always unique.
Author: W. B. Vasantha Kandasamy Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 296
Book Description
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.
Author: W. B. Vasantha Kandasamy Publisher: Infinite Study ISBN: 1599736012 Category : Mathematics Languages : en Pages : 318
Book Description
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.
Author: W. B. Vasantha Kandasamy Publisher: Infinite Study ISBN: Category : Languages : en Pages : 290
Book Description
Social information networks concept was introduced or perceived by researchers Emile Durkheim and Ferdinand Tonnies as social groups as early as 1890’s . However Tonnies argued that social groups can exist as personal and direct social ties that either link individuals who share values and beliefs or impersonal, formal and instrumental social links but Durkheim gave a non individualistic explanation of social facts arguing that social phenomena arise when interacting individuals constitute a reality that can no longer be accounted for in terms of the properties of individual actors. Georg Simmel analyzed the network size on interaction and examined and likelihood of interaction in loosely knit networks rather than groups.
Author: Lehua Yang Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 22
Book Description
The shortest path problem is a topic of increasing interest in various scientific fields. The damage to roads and bridges caused by disasters makes traffic routes that can be accurately expressed become indeterminate. A neutrosophic set is a collection of the truth membership, indeterminacy membership, and falsity membership of the constituent elements. It has a symmetric form and indeterminacy membership is their axis of symmetry. In uncertain environments, the neutrosophic number can more effectively express the edge distance.
Author: Sunil Mathew Publisher: Springer ISBN: 3319714074 Category : Technology & Engineering Languages : en Pages : 320
Book Description
This book provides a timely overview of fuzzy graph theory, laying the foundation for future applications in a broad range of areas. It introduces readers to fundamental theories, such as Craine’s work on fuzzy interval graphs, fuzzy analogs of Marczewski’s theorem, and the Gilmore and Hoffman characterization. It also introduces them to the Fulkerson and Gross characterization and Menger’s theorem, the applications of which will be discussed in a forthcoming book by the same authors. This book also discusses in detail important concepts such as connectivity, distance and saturation in fuzzy graphs. Thanks to the good balance between the basics of fuzzy graph theory and new findings obtained by the authors, the book offers an excellent reference guide for advanced undergraduate and graduate students in mathematics, engineering and computer science, and an inspiring read for all researchers interested in new developments in fuzzy logic and applied mathematics.
Author: W. B. Vasantha Kandasamy
Author: W. B. Vasantha Kandasamy
Author: W. B. Vasantha Kandasamy, Ilanthenral K, Florentin Smarandache 
Author: W. B. Vasantha Kandasamy
Author: W. B. Vasantha Kandasamy
Author: W. B. Vasantha Kandasamy
Author: W. B. VASANTHA. KANDASAMY
Author: W. B. Vasantha Kandasamy
Author: Alan Frieze
Author: Lehua Yang
Author: Sunil Mathew