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Author: N.V.R. Mahadev
Publisher: Elsevier
ISBN: 0080543006
Category : Mathematics
Languages : en
Pages : 559
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Book Description
Threshold graphs have a beautiful structure and possess many important mathematical properties. They have applications in many areas including computer science and psychology. Over the last 20 years the interest in threshold graphs has increased significantly, and the subject continues to attract much attention.The book contains many open problems and research ideas which will appeal to graduate students and researchers interested in graph theory. But above all Threshold Graphs and Related Topics provides a valuable source of information for all those working in this field.
Author: N.V.R. Mahadev
Publisher: Elsevier
ISBN: 0080543006
Category : Mathematics
Languages : en
Pages : 559
Get Book Here
Book Description
Threshold graphs have a beautiful structure and possess many important mathematical properties. They have applications in many areas including computer science and psychology. Over the last 20 years the interest in threshold graphs has increased significantly, and the subject continues to attract much attention.The book contains many open problems and research ideas which will appeal to graduate students and researchers interested in graph theory. But above all Threshold Graphs and Related Topics provides a valuable source of information for all those working in this field.
Author: Terry A. McKee
Publisher: SIAM
ISBN: 9780898719802
Category : Mathematics
Languages : en
Pages : 213
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Book Description
Finally there is a book that presents real applications of graph theory in a unified format. This book is the only source for an extended, concentrated focus on the theory and techniques common to various types of intersection graphs. It is a concise treatment of the aspects of intersection graphs that interconnect many standard concepts and form the foundation of a surprising array of applications to biology, computing, psychology, matrices, and statistics.
Author: Ravindra B. Bapat
Publisher: Springer
ISBN: 1447165691
Category : Mathematics
Languages : en
Pages : 197
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Book Description
This new edition illustrates the power of linear algebra in the study of graphs. The emphasis on matrix techniques is greater than in other texts on algebraic graph theory. Important matrices associated with graphs (for example, incidence, adjacency and Laplacian matrices) are treated in detail. Presenting a useful overview of selected topics in algebraic graph theory, early chapters of the text focus on regular graphs, algebraic connectivity, the distance matrix of a tree, and its generalized version for arbitrary graphs, known as the resistance matrix. Coverage of later topics include Laplacian eigenvalues of threshold graphs, the positive definite completion problem and matrix games based on a graph. Such an extensive coverage of the subject area provides a welcome prompt for further exploration. The inclusion of exercises enables practical learning throughout the book. In the new edition, a new chapter is added on the line graph of a tree, while some results in Chapter 6 on Perron-Frobenius theory are reorganized. Whilst this book will be invaluable to students and researchers in graph theory and combinatorial matrix theory, it will also benefit readers in the sciences and engineering.
Author: Andreas Brandstadt
Publisher: SIAM
ISBN: 9780898719796
Category : Mathematics
Languages : en
Pages : 315
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Book Description
This well-organized reference is a definitive encyclopedia for the literature on graph classes. It contains a survey of more than 200 classes of graphs, organized by types of properties used to define and characterize the classes, citing key theorems and literature references for each. The authors state results without proof, providing readers with easy access to far more key theorems than are commonly found in other mathematical texts. Interconnections between graph classes are also provided to make the book useful to a variety of readers.
Author: Joanna A. Ellis-Monaghan
Publisher: CRC Press
ISBN: 0429529171
Category : Computers
Languages : en
Pages : 743
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Book Description
The Tutte Polynomial touches on nearly every area of combinatorics as well as many other fields, including statistical mechanics, coding theory, and DNA sequencing. It is one of the most studied graph polynomials. Handbook of the Tutte Polynomial and Related Topics is the first handbook published on the Tutte Polynomial. It consists of thirty-four chapters written by experts in the field, which collectively offer a concise overview of the polynomial’s many properties and applications. Each chapter covers a different aspect of the Tutte polynomial and contains the central results and references for its topic. The chapters are organized into six parts. Part I describes the fundamental properties of the Tutte polynomial, providing an overview of the Tutte polynomial and the necessary background for the rest of the handbook. Part II is concerned with questions of computation, complexity, and approximation for the Tutte polynomial; Part III covers a selection of related graph polynomials; Part IV discusses a range of applications of the Tutte polynomial to mathematics, physics, and biology; Part V includes various extensions and generalizations of the Tutte polynomial; and Part VI provides a history of the development of the Tutte polynomial. Features Written in an accessible style for non-experts, yet extensive enough for experts Serves as a comprehensive and accessible introduction to the theory of graph polynomials for researchers in mathematics, physics, and computer science Provides an extensive reference volume for the evaluations, theorems, and properties of the Tutte polynomial and related graph, matroid, and knot invariants Offers broad coverage, touching on the wide range of applications of the Tutte polynomial and its various specializations
Author: Sheung-Hung Poon
Publisher: Springer
ISBN: 3319539256
Category : Computers
Languages : en
Pages : 476
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Book Description
This book constitutes the proceedings of the 11th International Workshop on Algorithms and Computation, WALCOM 2017, held in Hsinchu, Taiwan, in March 2017. The 35 full papers presented together with three invited talks were carefully reviewed and selected from 83 submissions. The papers are organized in topical sections on invited talks; computational geometry; combinatorial optimization; graph drawing; graph algorithms; space-efficient algorithms; computational complexity; approximation algorithms.
Author: Ralucca Gera
Publisher: Springer
ISBN: 331931940X
Category : Mathematics
Languages : en
Pages : 300
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Book Description
This is the first in a series of volumes, which provide an extensive overview of conjectures and open problems in graph theory. The readership of each volume is geared toward graduate students who may be searching for research ideas. However, the well-established mathematician will find the overall exposition engaging and enlightening. Each chapter, presented in a story-telling style, includes more than a simple collection of results on a particular topic. Each contribution conveys the history, evolution, and techniques used to solve the authors’ favorite conjectures and open problems, enhancing the reader’s overall comprehension and enthusiasm. The editors were inspired to create these volumes by the popular and well attended special sessions, entitled “My Favorite Graph Theory Conjectures," which were held at the winter AMS/MAA Joint Meeting in Boston (January, 2012), the SIAM Conference on Discrete Mathematics in Halifax (June,2012) and the winter AMS/MAA Joint meeting in Baltimore(January, 2014). In an effort to aid in the creation and dissemination of open problems, which is crucial to the growth and development of a field, the editors requested the speakers, as well as notable experts in graph theory, to contribute to these volumes.
Author: Daya Gaur
Publisher: Springer
ISBN: 3319530070
Category : Computers
Languages : en
Pages : 389
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Book Description
This book constitutes the proceedings of the Third International Conference on Algorithms and Discrete Applied Mathematics, CALDAM 2017, held in Goa, India, in February 2017. The 32 papers presented in this volume were carefully reviewed and selected from 103 submissions. They deal with the following areas: algorithms, graph theory, codes, polyhedral combinatorics, computational geometry, and discrete geometry.
Author: Richard P. Stanley
Publisher: Cambridge University Press
ISBN: 9780521789875
Category : Mathematics
Languages : en
Pages : 600
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Book Description
An introduction, suitable for beginning graduate students, showing connections to other areas of mathematics.
Author: M. Deza
Publisher: Springer Science & Business Media
ISBN: 9783540615767
Category : Computers
Languages : en
Pages : 436
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Book Description
This book presents a collection of 33 strictly refereed full papers on combinatorics and computer science; these papers have been selected from the 54 papers accepted for presentation at the joint 8th Franco-Japanese and 4th Franco-Chinese Conference on Combinatorics in Computer Science, CCS '96, held in Brest, France in July 1995. The papers included in the book have been contributed by authors from 10 countries; they are organized in sections entitled graph theory, combinatorial optimization, selected topics, and parallel and distributed computing.
