Rainbow Connections of Graphs

Rainbow Connections of Graphs PDF

Author: Xueliang Li

Publisher: Springer Science & Business Media

Published: 2012-02-23

Total Pages: 108

ISBN-13: 1461431190

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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.

Combinatorial Algorithms

Combinatorial Algorithms PDF

Author: Jiri Fiala

Publisher: Springer

Published: 2009-11-09

Total Pages: 491

ISBN-13: 3642102174

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This book constitutes the revised selected papers of the 20th International Workshop on Combinatorial Algorithms, held in June/July 2009 in the castle of Hradec nad Moravicí, Czech Republic. The 41 papers included in this volume together with 5 invited papers were carefully reviewed and selected from over 100 submissions. The topics dealt with are algorithms and data structures, applications, combinatorial enumeration, combinatorial optimization, complexity theory, computational biology, databases, decompositions and combinatorial designs, discrete and computational geometry, including graph drawing, and graph theory and combinatorics.

Rainbow Connections of Graphs

Rainbow Connections of Graphs PDF

Author: Yuefang Sun

Publisher:

Published: 2012

Total Pages:

ISBN-13:

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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.

Chromatic Graph Theory

Chromatic Graph Theory PDF

Author: Gary Chartrand

Publisher: CRC Press

Published: 2019-11-28

Total Pages: 503

ISBN-13: 0429798288

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With Chromatic Graph Theory, Second Edition, the authors present various fundamentals of graph theory that lie outside of graph colorings, including basic terminology and results, trees and connectivity, Eulerian and Hamiltonian graphs, matchings and factorizations, and graph embeddings. Readers will see that the authors accomplished the primary goal of this textbook, which is to introduce graph theory with a coloring theme and to look at graph colorings in various ways. The textbook also covers vertex colorings and bounds for the chromatic number, vertex colorings of graphs embedded on surfaces, and a variety of restricted vertex colorings. The authors also describe edge colorings, monochromatic and rainbow edge colorings, complete vertex colorings, several distinguishing vertex and edge colorings. Features of the Second Edition: The book can be used for a first course in graph theory as well as a graduate course The primary topic in the book is graph coloring The book begins with an introduction to graph theory so assumes no previous course The authors are the most widely-published team on graph theory Many new examples and exercises enhance the new edition

Introduction to Graph Theory

Introduction to Graph Theory PDF

Author: Gary Chartrand

Publisher: McGraw-Hill Science, Engineering & Mathematics

Published: 2005

Total Pages: 0

ISBN-13: 9780072948622

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Economic applications of graphs ands equations, differnetiation rules for exponentiation of exponentials ...

Pearls in Graph Theory

Pearls in Graph Theory PDF

Author: Nora Hartsfield

Publisher: Courier Corporation

Published: 2013-04-15

Total Pages: 272

ISBN-13: 0486315525

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Stimulating and accessible, this undergraduate-level text covers basic graph theory, colorings of graphs, circuits and cycles, labeling graphs, drawings of graphs, measurements of closeness to planarity, graphs on surfaces, and applications and algorithms. 1994 edition.

Domination in Graphs

Domination in Graphs PDF

Author: TeresaW. Haynes

Publisher: Routledge

Published: 2017-11-22

Total Pages: 519

ISBN-13: 1351454641

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""Presents the latest in graph domination by leading researchers from around the world-furnishing known results, open research problems, and proof techniques. Maintains standardized terminology and notation throughout for greater accessibility. Covers recent developments in domination in graphs and digraphs, dominating functions, combinatorial problems on chessboards, and more.

New Trends in Computer Technologies and Applications

New Trends in Computer Technologies and Applications PDF

Author: Chuan-Yu Chang

Publisher: Springer

Published: 2019-07-10

Total Pages: 795

ISBN-13: 9811391904

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The present book includes extended and revised versions of papers presented during the 2018 International Computer Symposium (ICS 2018), held in Yunlin, Republic of China (Taiwan), on December 20-22, 2018. The 86 papers presented were carefully reviewed and selected from 263 submissions from 11 countries. The variety of the topics include machine learning, sensor devices and platforms, sensor networks, robotics, embedded systems, networks, operating systems, software system structures, database design and models, multimedia and multimodal retrieval, object detection, image processing, image compression, mobile and wireless security.

Introduction to Random Graphs

Introduction to Random Graphs PDF

Author: Alan Frieze

Publisher: Cambridge University Press

Published: 2016

Total Pages: 483

ISBN-13: 1107118506

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The text covers random graphs from the basic to the advanced, including numerous exercises and recommendations for further reading.

Graph Theory and Its Applications, Second Edition

Graph Theory and Its Applications, Second Edition PDF

Author: Jonathan L. Gross

Publisher: CRC Press

Published: 2005-09-22

Total Pages: 799

ISBN-13: 158488505X

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Already an international bestseller, with the release of this greatly enhanced second edition, Graph Theory and Its Applications is now an even better choice as a textbook for a variety of courses -- a textbook that will continue to serve your students as a reference for years to come. The superior explanations, broad coverage, and abundance of illustrations and exercises that positioned this as the premier graph theory text remain, but are now augmented by a broad range of improvements. Nearly 200 pages have been added for this edition, including nine new sections and hundreds of new exercises, mostly non-routine. What else is new? New chapters on measurement and analytic graph theory Supplementary exercises in each chapter - ideal for reinforcing, reviewing, and testing. Solutions and hints, often illustrated with figures, to selected exercises - nearly 50 pages worth Reorganization and extensive revisions in more than half of the existing chapters for smoother flow of the exposition Foreshadowing - the first three chapters now preview a number of concepts, mostly via the exercises, to pique the interest of reader Gross and Yellen take a comprehensive approach to graph theory that integrates careful exposition of classical developments with emerging methods, models, and practical needs. Their unparalleled treatment provides a text ideal for a two-semester course and a variety of one-semester classes, from an introductory one-semester course to courses slanted toward classical graph theory, operations research, data structures and algorithms, or algebra and topology.