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: 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: Mark R. T. Dale Publisher: Cambridge University Press ISBN: 1108632971 Category : Nature Languages : en Pages : 250
Book Description
Network thinking and network analysis are rapidly expanding features of ecological research. Network analysis of ecological systems include representations and modelling of the interactions in an ecosystem, in which species or factors are joined by pairwise connections. This book provides an overview of ecological network analysis including generating processes, the relationship between structure and dynamic function, and statistics and models for these networks. Starting with a general introduction to the composition of networks and their characteristics, it includes details on such topics as measures of network complexity, applications of spectral graph theory, how best to include indirect species interactions, and multilayer, multiplex and multilevel networks. Graduate students and researchers who want to develop and understand ecological networks in their research will find this volume inspiring and helpful. Detailed guidance to those already working in network ecology but looking for advice is also included.
Author: Peter J. Carrington Publisher: Cambridge University Press ISBN: 9781139443432 Category : Social Science Languages : en Pages : 354
Book Description
Models and Methods in Social Network Analysis, first published in 2005, presents the most important developments in quantitative models and methods for analyzing social network data that have appeared during the 1990s. Intended as a complement to Wasserman and Faust's Social Network Analysis: Methods and Applications, it is a collection of articles by leading methodologists reviewing advances in their particular areas of network methods. Reviewed are advances in network measurement, network sampling, the analysis of centrality, positional analysis or blockmodelling, the analysis of diffusion through networks, the analysis of affiliation or 'two-mode' networks, the theory of random graphs, dependence graphs, exponential families of random graphs, the analysis of longitudinal network data, graphical techniques for exploring network data, and software for the analysis of social networks.
Author: Dieter Jungnickel Publisher: Springer Science & Business Media ISBN: 9783540219057 Category : Computers Languages : en Pages : 642
Book Description
"This thoroughly revised new edition offers a new chapter on the network simplex algorithm and a section on the five color theorem. Moreover, numerous smaller changes and corrections have been made and several recent developments have been discussed and referenced."--BOOK JACKET.Title Summary field provided by Blackwell North America, Inc. All Rights Reserved
Author: John T Saccoman Publisher: World Scientific ISBN: 9814566055 Category : Mathematics Languages : en Pages : 186
Book Description
This book is concerned with the optimization problem of maximizing the number of spanning trees of a multigraph. Since a spanning tree is a minimally connected subgraph, graphs and multigraphs having more of these are, in some sense, immune to disconnection by edge failure. We employ a matrix-theoretic approach to the calculation of the number of spanning trees.The authors envision this as a research aid that is of particular interest to graduate students or advanced undergraduate students and researchers in the area of network reliability theory. This would encompass graph theorists of all stripes, including mathematicians, computer scientists, electrical and computer engineers, and operations researchers.
Author: Mark E. Dickison Publisher: Cambridge University Press ISBN: 1107079497 Category : Computers Languages : en Pages : 215
Book Description
This book unifies and consolidates methods for analyzing multilayer networks arising from the social and physical sciences and computing.
Author: W. B. Vasantha Kandasamy
Author: W. B. Vasantha Kandasamy
Author: W. B. Vasantha Kandasamy, Ilanthenral K, Florentin Smarandache 
Author: Mark R. T. Dale
Author: W. B. VASANTHA. KANDASAMY
Author: Peter J. Carrington
Author: Dieter Jungnickel
Author: John T Saccoman
Author: 
Author: Mark E. Dickison