Generalized Connectivity In Graphs

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Generalized Connectivity of Graphs

Author : Xueliang Li
Publisher : Springer
ISBN 13 : 3319338285
Total Pages : 148 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Generalized Connectivity of Graphs by : Xueliang Li

Download or read book Generalized Connectivity of Graphs written by Xueliang Li and published by Springer. This book was released on 2016-06-30 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: Noteworthy results, proof techniques, open problems and conjectures in generalized (edge-) connectivity are discussed in this book. Both theoretical and practical analyses for generalized (edge-) connectivity of graphs are provided. Topics covered in this book include: generalized (edge-) connectivity of graph classes, algorithms, computational complexity, sharp bounds, Nordhaus-Gaddum-type results, maximum generalized local connectivity, extremal problems, random graphs, multigraphs, relations with the Steiner tree packing problem and generalizations of connectivity. This book enables graduate students to understand and master a segment of graph theory and combinatorial optimization. Researchers in graph theory, combinatorics, combinatorial optimization, probability, computer science, discrete algorithms, complexity analysis, network design, and the information transferring models will find this book useful in their studies.

Generalized Connectivity in Graphs

Author : Ortrud R. Oellermann
Publisher :
ISBN 13 :
Total Pages : 280 pages
Book Rating : 4.:/5 (142 download)

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Book Synopsis Generalized Connectivity in Graphs by : Ortrud R. Oellermann

Download or read book Generalized Connectivity in Graphs written by Ortrud R. Oellermann and published by . This book was released on 1986 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fuzzy Graph Theory

Author : Sunil Mathew
Publisher : Springer
ISBN 13 : 3319714074
Total Pages : 331 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Fuzzy Graph Theory by : Sunil Mathew

Download or read book Fuzzy Graph Theory written by Sunil Mathew and published by Springer. This book was released on 2017-12-30 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

軍艦妙高

Author :
Publisher :
ISBN 13 :
Total Pages : 576 pages
Book Rating : 4.:/5 (672 download)

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Book Synopsis 軍艦妙高 by :

Download or read book 軍艦妙高 written by and published by . This book was released on 1979 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Topics in Structural Graph Theory

Author : Lowell W. Beineke
Publisher : Cambridge University Press
ISBN 13 : 1107244307
Total Pages : 346 pages
Book Rating : 4.1/5 (72 download)

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Book Synopsis Topics in Structural Graph Theory by : Lowell W. Beineke

Download or read book Topics in Structural Graph Theory written by Lowell W. Beineke and published by Cambridge University Press. This book was released on 2012-11-08 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: The rapidly expanding area of structural graph theory uses ideas of connectivity to explore various aspects of graph theory and vice versa. It has links with other areas of mathematics, such as design theory and is increasingly used in such areas as computer networks where connectivity algorithms are an important feature. Although other books cover parts of this material, none has a similarly wide scope. Ortrud R. Oellermann (Winnipeg), internationally recognised for her substantial contributions to structural graph theory, acted as academic consultant for this volume, helping shape its coverage of key topics. The result is a collection of thirteen expository chapters, each written by acknowledged experts. These contributions have been carefully edited to enhance readability and to standardise the chapter structure, terminology and notation throughout. An introductory chapter details the background material in graph theory and network flows and each chapter concludes with an extensive list of references.

Connectivity in Graphs

Author : W. T. Tutte
Publisher :
ISBN 13 :
Total Pages : 164 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Connectivity in Graphs by : W. T. Tutte

Download or read book Connectivity in Graphs written by W. T. Tutte and published by . This book was released on 1966 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Random Graphs

Author : Alan Frieze
Publisher : Cambridge University Press
ISBN 13 : 1107118506
Total Pages : 483 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Introduction to Random Graphs by : Alan Frieze

Download or read book Introduction to Random Graphs written by Alan Frieze and published by Cambridge University Press. This book was released on 2016 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt: The text covers random graphs from the basic to the advanced, including numerous exercises and recommendations for further reading.

Random Graphs and Complex Networks

Author : Remco van der Hofstad
Publisher : Cambridge University Press
ISBN 13 : 110717287X
Total Pages : 341 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Random Graphs and Complex Networks by : Remco van der Hofstad

Download or read book Random Graphs and Complex Networks written by Remco van der Hofstad and published by Cambridge University Press. This book was released on 2017 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classroom-tested text is the definitive introduction to the mathematics of network science, featuring examples and numerous exercises.

Rainbow Connections of Graphs

Author : Xueliang Li
Publisher : Springer Science & Business Media
ISBN 13 : 1461431190
Total Pages : 108 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Rainbow Connections of Graphs by : Xueliang Li

Download or read book Rainbow Connections of Graphs written by Xueliang Li and published by Springer Science & Business Media. This book was released on 2012-02-23 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rainbow connections are natural combinatorial measures that are used in applications to secure the transfer of classified information between agencies in communication networks. Rainbow Connections of Graphs covers this new and emerging topic in graph theory and brings together a majority of the results that deal with the concept of rainbow connections, first introduced by Chartrand et al. in 2006. The authors begin with an introduction to rainbow connectedness, rainbow coloring, and rainbow connection number. The work is organized into the following categories, computation of the exact values of the rainbow connection numbers for some special graphs, algorithms and complexity analysis, upper bounds in terms of other graph parameters, rainbow connection for dense and sparse graphs, for some graph classes and graph products, rainbow k-connectivity and k-rainbow index, and, rainbow vertex-connection number. Rainbow Connections of Graphs appeals to researchers and graduate students in the field of graph theory. Conjectures, open problems and questions are given throughout the text with the hope for motivating young graph theorists and graduate students to do further study in this subject.

Graph Representation Learning

Author : William L. William L. Hamilton
Publisher : Springer Nature
ISBN 13 : 3031015886
Total Pages : 141 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Graph Representation Learning by : William L. William L. Hamilton

Download or read book Graph Representation Learning written by William L. William L. Hamilton and published by Springer Nature. This book was released on 2022-06-01 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph-structured data is ubiquitous throughout the natural and social sciences, from telecommunication networks to quantum chemistry. Building relational inductive biases into deep learning architectures is crucial for creating systems that can learn, reason, and generalize from this kind of data. Recent years have seen a surge in research on graph representation learning, including techniques for deep graph embeddings, generalizations of convolutional neural networks to graph-structured data, and neural message-passing approaches inspired by belief propagation. These advances in graph representation learning have led to new state-of-the-art results in numerous domains, including chemical synthesis, 3D vision, recommender systems, question answering, and social network analysis. This book provides a synthesis and overview of graph representation learning. It begins with a discussion of the goals of graph representation learning as well as key methodological foundations in graph theory and network analysis. Following this, the book introduces and reviews methods for learning node embeddings, including random-walk-based methods and applications to knowledge graphs. It then provides a technical synthesis and introduction to the highly successful graph neural network (GNN) formalism, which has become a dominant and fast-growing paradigm for deep learning with graph data. The book concludes with a synthesis of recent advancements in deep generative models for graphs—a nascent but quickly growing subset of graph representation learning.

Handbook of Product Graphs

Author : Richard Hammack
Publisher : CRC Press
ISBN 13 : 1439813051
Total Pages : 537 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Handbook of Product Graphs by : Richard Hammack

Download or read book Handbook of Product Graphs written by Richard Hammack and published by CRC Press. This book was released on 2011-06-06 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook examines the dichotomy between the structure of products and their subgraphs. It also features the design of efficient algorithms that recognize products and their subgraphs and explores the relationship between graph parameters of the product and factors. Extensively revised and expanded, this second edition presents full proofs of many important results as well as up-to-date research and conjectures. It illustrates applications of graph products in several areas and contains well over 300 exercises. Supplementary material is available on the book's website.

Graph Theory and Interconnection Networks

Author : Lih-Hsing Hsu
Publisher : CRC Press
ISBN 13 : 1420044826
Total Pages : 722 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Graph Theory and Interconnection Networks by : Lih-Hsing Hsu

Download or read book Graph Theory and Interconnection Networks written by Lih-Hsing Hsu and published by CRC Press. This book was released on 2008-09-26 with total page 722 pages. Available in PDF, EPUB and Kindle. Book excerpt: The advancement of large scale integrated circuit technology has enabled the construction of complex interconnection networks. Graph theory provides a fundamental tool for designing and analyzing such networks. Graph Theory and Interconnection Networks provides a thorough understanding of these interrelated topics. After a brief introduction to gra

Emergent Computation

Author : Andrew Adamatzky
Publisher : Springer
ISBN 13 : 3319463764
Total Pages : 641 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Emergent Computation by : Andrew Adamatzky

Download or read book Emergent Computation written by Andrew Adamatzky and published by Springer. This book was released on 2016-11-04 with total page 641 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is dedicated to Professor Selim G. Akl to honour his groundbreaking research achievements in computer science over four decades. The book is an intellectually stimulating excursion into emergent computing paradigms, architectures and implementations. World top experts in computer science, engineering and mathematics overview exciting and intriguing topics of musical rhythms generation algorithms, analyse the computational power of random walks, dispelling a myth of computational universality, computability and complexity at the microscopic level of synchronous computation, descriptional complexity of error detection, quantum cryptography, context-free parallel communicating grammar systems, fault tolerance of hypercubes, finite automata theory of bulk-synchronous parallel computing, dealing with silent data corruptions in high-performance computing, parallel sorting on graphics processing units, mining for functional dependencies in relational databases, cellular automata optimisation of wireless sensors networks, connectivity preserving network transformers, constrained resource networks, vague computing, parallel evolutionary optimisation, emergent behaviour in multi-agent systems, vehicular clouds, epigenetic drug discovery, dimensionality reduction for intrusion detection systems, physical maze solvers, computer chess, parallel algorithms to string alignment, detection of community structure. The book is a unique combination of vibrant essays which inspires scientists and engineers to exploit natural phenomena in designs of computing architectures of the future.

The Connectivity of a Generalized Cartesian Product Graph and a Generalized Prism Over G and H

Author : Lucas C. Van der Merwe
Publisher :
ISBN 13 :
Total Pages : 46 pages
Book Rating : 4.:/5 (373 download)

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Book Synopsis The Connectivity of a Generalized Cartesian Product Graph and a Generalized Prism Over G and H by : Lucas C. Van der Merwe

Download or read book The Connectivity of a Generalized Cartesian Product Graph and a Generalized Prism Over G and H written by Lucas C. Van der Merwe and published by . This book was released on 1997 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Properly Colored Connectivity of Graphs

Author : Xueliang Li
Publisher : Springer
ISBN 13 : 3319896172
Total Pages : 146 pages
Book Rating : 4.3/5 (198 download)

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Book Synopsis Properly Colored Connectivity of Graphs by : Xueliang Li

Download or read book Properly Colored Connectivity of Graphs written by Xueliang Li and published by Springer. This book was released on 2018-05-14 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive survey of proper connection of graphs is discussed in this book with real world applications in computer science and network security. Beginning with a brief introduction, comprising relevant definitions and preliminary results, this book moves on to consider a variety of properties of graphs that imply bounds on the proper connection number. Detailed proofs of significant advancements toward open problems and conjectures are presented with complete references. Researchers and graduate students with an interest in graph connectivity and colorings will find this book useful as it builds upon fundamental definitions towards modern innovations, strategies, and techniques. The detailed presentation lends to use as an introduction to proper connection of graphs for new and advanced researchers, a solid book for a graduate level topics course, or as a reference for those interested in expanding and further developing research in the area.

Fuzzy Graph Theory with Applications to Human Trafficking

Author : John N. Mordeson
Publisher : Springer
ISBN 13 : 3319764543
Total Pages : 262 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Fuzzy Graph Theory with Applications to Human Trafficking by : John N. Mordeson

Download or read book Fuzzy Graph Theory with Applications to Human Trafficking written by John N. Mordeson and published by Springer. This book was released on 2018-03-14 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reports on advanced concepts in fuzzy graph theory, showing a set of tools that can be successfully applied to understanding and modeling illegal human trafficking. Building on the previous book on fuzzy graph by the same authors, which set the fundamentals for readers to understand this developing field of research, this second book gives a special emphasis to applications of the theory. For this, authors introduce new concepts, such as intuitionistic fuzzy graphs, the concept of independence and domination in fuzzy graphs, as well as directed fuzzy networks, incidence graphs and many more.

Introduction to Parallel Algorithms and Architectures

Author : Frank Thomson Leighton
Publisher : Morgan Kaufmann Publishers
ISBN 13 :
Total Pages : 870 pages
Book Rating : 4.4/5 (91 download)

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Book Synopsis Introduction to Parallel Algorithms and Architectures by : Frank Thomson Leighton

Download or read book Introduction to Parallel Algorithms and Architectures written by Frank Thomson Leighton and published by Morgan Kaufmann Publishers. This book was released on 1992 with total page 870 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Parallelism.