Graphs & Digraphs

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Publisher : CRC Press
ISBN 13 : 1003801080
Total Pages : 365 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Graphs & Digraphs by : Gary Chartrand

Download or read book Graphs & Digraphs written by Gary Chartrand and published by CRC Press. This book was released on 2024-01-23 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graphs & Digraphs, Seventh Edition masterfully employs student-friendly exposition, clear proofs, abundant examples, and numerous exercises to provide an essential understanding of the concepts, theorems, history, and applications of graph theory. This classic text, widely popular among students and instructors alike for decades, is thoroughly streamlined in this new, seventh edition, to present a text consistent with contemporary expectations. Changes and updates to this edition include: A rewrite of four chapters from the ground up Streamlining by over a third for efficient, comprehensive coverage of graph theory Flexible structure with foundational Chapters 1–6 and customizable topics in Chapters 7–11 Incorporation of the latest developments in fundamental graph theory Statements of recent groundbreaking discoveries, even if proofs are beyond scope Completely reorganized chapters on traversability, connectivity, coloring, and extremal graph theory to reflect recent developments The text remains the consummate choice for an advanced undergraduate level or introductory graduate-level course exploring the subject’s fascinating history, while covering a host of interesting problems and diverse applications. Our major objective is to introduce and treat graph theory as the beautiful area of mathematics we have always found it to be. We have striven to produce a reader-friendly, carefully written book that emphasizes the mathematical theory of graphs, in all their forms. While a certain amount of mathematical maturity, including a solid understanding of proof, is required to appreciate the material, with a small number of exceptions this is the only pre-requisite. In addition, owing to the exhilarating pace of progress in the field, there have been countless developments in fundamental graph theory ever since the previous edition, and many of these discoveries have been incorporated into the book. Of course, some of the proofs of these results are beyond the scope of the book, in which cases we have only included their statements. In other cases, however, these new results have led us to completely reorganize our presentation. Two examples are the chapters on coloring and extremal graph theory.

Handbook of Graph Theory

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Publisher : CRC Press
ISBN 13 : 9780203490204
Total Pages : 1200 pages
Book Rating : 4.4/5 (92 download)

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Book Synopsis Handbook of Graph Theory by : Jonathan L. Gross

Download or read book Handbook of Graph Theory written by Jonathan L. Gross and published by CRC Press. This book was released on 2003-12-29 with total page 1200 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Graph Theory is the most comprehensive single-source guide to graph theory ever published. Best-selling authors Jonathan Gross and Jay Yellen assembled an outstanding team of experts to contribute overviews of more than 50 of the most significant topics in graph theory-including those related to algorithmic and optimization approach

Congressus Numerantium

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Publisher :
ISBN 13 :
Total Pages : 464 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Congressus Numerantium by :

Download or read book Congressus Numerantium written by and published by . This book was released on 2000 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fractional Graph Theory

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Publisher : Courier Corporation
ISBN 13 : 0486292134
Total Pages : 242 pages
Book Rating : 4.4/5 (862 download)

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Book Synopsis Fractional Graph Theory by : Edward R. Scheinerman

Download or read book Fractional Graph Theory written by Edward R. Scheinerman and published by Courier Corporation. This book was released on 2013-04-29 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume explains the general theory of hypergraphs and presents in-depth coverage of fundamental and advanced topics: fractional matching, fractional coloring, fractional edge coloring, fractional arboricity via matroid methods, fractional isomorphism, and more. 1997 edition.

Inverse Problems and Zero Forcing for Graphs

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Publisher : American Mathematical Society
ISBN 13 : 1470466554
Total Pages : 302 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Inverse Problems and Zero Forcing for Graphs by : Leslie Hogben

Download or read book Inverse Problems and Zero Forcing for Graphs written by Leslie Hogben and published by American Mathematical Society. This book was released on 2022-07-21 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the inverse eigenvalue problem for graphs (IEP-$G$) and the related area of zero forcing, propagation, and throttling. The IEP-$G$ grew from the intersection of linear algebra and combinatorics and has given rise to both a rich set of deep problems in that area as well as a breadth of “ancillary” problems in related areas. The IEP-$G$ asks a fundamental mathematical question expressed in terms of linear algebra and graph theory, but the significance of such questions goes beyond these two areas, as particular instances of the IEP-$G$ also appear as major research problems in other fields of mathematics, sciences and engineering. One approach to the IEP-$G$ is through rank minimization, a relevant problem in itself and with a large number of applications. During the past 10 years, important developments on the rank minimization problem, particularly in relation to zero forcing, have led to significant advances in the IEP-$G$. The monograph serves as an entry point and valuable resource that will stimulate future developments in this active and mathematically diverse research area.

Handbook of Product Graphs

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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.

Digraphs

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Publisher : Springer Science & Business Media
ISBN 13 : 1447138864
Total Pages : 769 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Digraphs by : Jorgen Bang-Jensen

Download or read book Digraphs written by Jorgen Bang-Jensen and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 769 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of directed graphs (digraphs) has developed enormously over recent decades, yet the results are rather scattered across the journal literature. This is the first book to present a unified and comprehensive survey of the subject. In addition to covering the theoretical aspects, the authors discuss a large number of applications and their generalizations to topics such as the traveling salesman problem, project scheduling, genetics, network connectivity, and sparse matrices. Numerous exercises are included. For all graduate students, researchers and professionals interested in graph theory and its applications, this book will be essential reading.

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 932 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2008 with total page 932 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Surveys in Combinatorics 2022

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Publisher : Cambridge University Press
ISBN 13 : 1009096222
Total Pages : 257 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis Surveys in Combinatorics 2022 by : Anthony Nixon

Download or read book Surveys in Combinatorics 2022 written by Anthony Nixon and published by Cambridge University Press. This book was released on 2022-06-09 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains surveys of current research directions in combinatorics written by leading researchers in their fields.

Graph Theory with Applications to Engineering and Computer Science

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Publisher : PHI Learning Pvt. Ltd.
ISBN 13 : 9788120301450
Total Pages : 478 pages
Book Rating : 4.3/5 (14 download)

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Book Synopsis Graph Theory with Applications to Engineering and Computer Science by : Narsingh Deo

Download or read book Graph Theory with Applications to Engineering and Computer Science written by Narsingh Deo and published by PHI Learning Pvt. Ltd.. This book was released on 1974 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: Because of its inherent simplicity, graph theory has a wide range of applications in engineering, and in physical sciences. It has of course uses in social sciences, in linguistics and in numerous other areas. In fact, a graph can be used to represent almost any physical situation involving discrete objects and the relationship among them. Now with the solutions to engineering and other problems becoming so complex leading to larger graphs, it is virtually difficult to analyze without the use of computers. This book is recommended in IIT Kharagpur, West Bengal for B.Tech Computer Science, NIT Arunachal Pradesh, NIT Nagaland, NIT Agartala, NIT Silchar, Gauhati University, Dibrugarh University, North Eastern Regional Institute of Management, Assam Engineering College, West Bengal Univerity of Technology (WBUT) for B.Tech, M.Tech Computer Science, University of Burdwan, West Bengal for B.Tech. Computer Science, Jadavpur University, West Bengal for M.Sc. Computer Science, Kalyani College of Engineering, West Bengal for B.Tech. Computer Science. Key Features: This book provides a rigorous yet informal treatment of graph theory with an emphasis on computational aspects of graph theory and graph-theoretic algorithms. Numerous applications to actual engineering problems are incorpo-rated with software design and optimization topics.

Topics in Graph Automorphisms and Reconstruction

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Publisher : Cambridge University Press
ISBN 13 : 1316610446
Total Pages : 207 pages
Book Rating : 4.3/5 (166 download)

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Book Synopsis Topics in Graph Automorphisms and Reconstruction by : Josef Lauri

Download or read book Topics in Graph Automorphisms and Reconstruction written by Josef Lauri and published by Cambridge University Press. This book was released on 2016-06-02 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: An in-depth coverage of selected areas of graph theory focusing on symmetry properties of graphs, ideal for beginners and specialists.

Spectra of Graphs

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Publisher : Springer Science & Business Media
ISBN 13 : 1461419395
Total Pages : 254 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Spectra of Graphs by : Andries E. Brouwer

Download or read book Spectra of Graphs written by Andries E. Brouwer and published by Springer Science & Business Media. This book was released on 2011-12-17 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an elementary treatment of the basic material about graph spectra, both for ordinary, and Laplace and Seidel spectra. The text progresses systematically, by covering standard topics before presenting some new material on trees, strongly regular graphs, two-graphs, association schemes, p-ranks of configurations and similar topics. Exercises at the end of each chapter provide practice and vary from easy yet interesting applications of the treated theory, to little excursions into related topics. Tables, references at the end of the book, an author and subject index enrich the text. Spectra of Graphs is written for researchers, teachers and graduate students interested in graph spectra. The reader is assumed to be familiar with basic linear algebra and eigenvalues, although some more advanced topics in linear algebra, like the Perron-Frobenius theorem and eigenvalue interlacing are included.

Graph Theory with Applications

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Publisher : London : Macmillan Press
ISBN 13 :
Total Pages : 290 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Graph Theory with Applications by : John Adrian Bondy

Download or read book Graph Theory with Applications written by John Adrian Bondy and published by London : Macmillan Press. This book was released on 1976 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Topology for Computing

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Publisher : Cambridge University Press
ISBN 13 : 9781139442633
Total Pages : 264 pages
Book Rating : 4.4/5 (426 download)

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Book Synopsis Topology for Computing by : Afra J. Zomorodian

Download or read book Topology for Computing written by Afra J. Zomorodian and published by Cambridge University Press. This book was released on 2005-01-10 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: The emerging field of computational topology utilizes theory from topology and the power of computing to solve problems in diverse fields. Recent applications include computer graphics, computer-aided design (CAD), and structural biology, all of which involve understanding the intrinsic shape of some real or abstract space. A primary goal of this book is to present basic concepts from topology and Morse theory to enable a non-specialist to grasp and participate in current research in computational topology. The author gives a self-contained presentation of the mathematical concepts from a computer scientist's point of view, combining point set topology, algebraic topology, group theory, differential manifolds, and Morse theory. He also presents some recent advances in the area, including topological persistence and hierarchical Morse complexes. Throughout, the focus is on computational challenges and on presenting algorithms and data structures when appropriate.

The Mathematics of Chip-Firing

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Publisher : CRC Press
ISBN 13 : 135180099X
Total Pages : 308 pages
Book Rating : 4.3/5 (518 download)

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Book Synopsis The Mathematics of Chip-Firing by : Caroline J. Klivans

Download or read book The Mathematics of Chip-Firing written by Caroline J. Klivans and published by CRC Press. This book was released on 2018-11-15 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematics of Chip-firing is a solid introduction and overview of the growing field of chip-firing. It offers an appreciation for the richness and diversity of the subject. Chip-firing refers to a discrete dynamical system — a commodity is exchanged between sites of a network according to very simple local rules. Although governed by local rules, the long-term global behavior of the system reveals fascinating properties. The Fundamental properties of chip-firing are covered from a variety of perspectives. This gives the reader both a broad context of the field and concrete entry points from different backgrounds. Broken into two sections, the first examines the fundamentals of chip-firing, while the second half presents more general frameworks for chip-firing. Instructors and students will discover that this book provides a comprehensive background to approaching original sources. Features: Provides a broad introduction for researchers interested in the subject of chip-firing The text includes historical and current perspectives Exercises included at the end of each chapter About the Author: Caroline J. Klivans received a BA degree in mathematics from Cornell University and a PhD in applied mathematics from MIT. Currently, she is an Associate Professor in the Division of Applied Mathematics at Brown University. She is also an Associate Director of ICERM (Institute for Computational and Experimental Research in Mathematics). Before coming to Brown she held positions at MSRI, Cornell and the University of Chicago. Her research is in algebraic, geometric and topological combinatorics.

Bulletin of the Institute of Combinatorics and Its Applications

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Publisher :
ISBN 13 :
Total Pages : 404 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Bulletin of the Institute of Combinatorics and Its Applications by :

Download or read book Bulletin of the Institute of Combinatorics and Its Applications written by and published by . This book was released on 2005 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to Expander Graphs

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Publisher :
ISBN 13 : 9782856298985
Total Pages : pages
Book Rating : 4.2/5 (989 download)

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Book Synopsis An Introduction to Expander Graphs by :

Download or read book An Introduction to Expander Graphs written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: