Multigraphs for Multi Networks

Multigraphs for Multi Networks PDF

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.

Subset Vertex Multigraphs and Neutrosophic Multigraphs for Social Multi Networks

Subset Vertex Multigraphs and Neutrosophic Multigraphs for Social Multi Networks PDF

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.

Special Subset Vertex Multisubgraphs for Multi Networks

Special Subset Vertex Multisubgraphs for Multi Networks PDF

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.

Quantitative Analysis of Ecological Networks

Quantitative Analysis of Ecological Networks PDF

Author: Mark R. T. Dale

Publisher: Cambridge University Press

Published: 2021-04-15

Total Pages: 250

ISBN-13: 1108632971

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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.

Models and Methods in Social Network Analysis

Models and Methods in Social Network Analysis PDF

Author: Peter J. Carrington

Publisher: Cambridge University Press

Published: 2005-02-07

Total Pages: 354

ISBN-13: 9781139443432

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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.

Graphs, Networks and Algorithms

Graphs, Networks and Algorithms PDF

Author: Dieter Jungnickel

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 597

ISBN-13: 3662038226

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Revised throughout Includes new chapters on the network simplex algorithm and a section on the five color theorem Recent developments are discussed

Multiplex Networks

Multiplex Networks PDF

Author: Emanuele Cozzo

Publisher: Springer

Published: 2018-06-27

Total Pages: 121

ISBN-13: 3319922556

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This book provides the basis of a formal language and explores its possibilities in the characterization of multiplex networks. Armed with the formalism developed, the authors define structural metrics for multiplex networks. A methodology to generalize monoplex structural metrics to multiplex networks is also presented so that the reader will be able to generalize other metrics of interest in a systematic way. Therefore, this book will serve as a guide for the theoretical development of new multiplex metrics. Furthermore, this Brief describes the spectral properties of these networks in relation to concepts from algebraic graph theory and the theory of matrix polynomials. The text is rounded off by analyzing the different structural transitions present in multiplex systems as well as by a brief overview of some representative dynamical processes. Multiplex Networks will appeal to students, researchers, and professionals within the fields of network science, graph theory, and data science.

Random Graphs and Complex Networks

Random Graphs and Complex Networks PDF

Author: Remco van der Hofstad

Publisher: Cambridge University Press

Published: 2017

Total Pages: 341

ISBN-13: 110717287X

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This classroom-tested text is the definitive introduction to the mathematics of network science, featuring examples and numerous exercises.

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