Topics in Intersection Graph Theory

by Terry A. McKee

Author	: Terry A. McKee
Publisher	: SIAM
Total Pages	: 213
Release	: 1999-01-01
Genre	: Mathematics
ISBN	: 9780898719802

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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.

Topics in Intersection Graph Theory

by Terry A. McKee

Author	: Terry A. McKee
Publisher	: SIAM
Total Pages	: 211
Release	: 1999-01-01
Genre	: Mathematics
ISBN	: 0898714303

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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. The authors emphasize the underlying tools and techniques and demonstrate how this approach constitutes a definite theory within graph theory. Some of the applications are not widely known or available in the graph theoretic literature and are presented here for the first time. The book also includes a detailed literature guide for many specialized and related areas, a current bibliography, and more than 100 exercises.

Handbook of Research on Advanced Applications of Graph Theory in Modern Society

by Pal, Madhumangal

Author	: Pal, Madhumangal
Publisher	: IGI Global
Total Pages	: 615
Release	: 2019-08-30
Genre	: Computers
ISBN	: 1522593829

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In the world of mathematics and computer science, technological advancements are constantly being researched and applied to ongoing issues. Setbacks in social networking, engineering, and automation are themes that affect everyday life, and researchers have been looking for new techniques in which to solve these challenges. Graph theory is a widely studied topic that is now being applied to real-life problems. The Handbook of Research on Advanced Applications of Graph Theory in Modern Society is an essential reference source that discusses recent developments on graph theory, as well as its representation in social networks, artificial neural networks, and many complex networks. The book aims to study results that are useful in the fields of robotics and machine learning and will examine different engineering issues that are closely related to fuzzy graph theory. Featuring research on topics such as artificial neural systems and robotics, this book is ideally designed for mathematicians, research scholars, practitioners, professionals, engineers, and students seeking an innovative overview of graphic theory.

Thirty Essays on Geometric Graph Theory

by János Pach

Author	: János Pach
Publisher	: Springer Science & Business Media
Total Pages	: 610
Release	: 2012-12-15
Genre	: Mathematics
ISBN	: 1461401100

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In many applications of graph theory, graphs are regarded as geometric objects drawn in the plane or in some other surface. The traditional methods of "abstract" graph theory are often incapable of providing satisfactory answers to questions arising in such applications. In the past couple of decades, many powerful new combinatorial and topological techniques have been developed to tackle these problems. Today geometric graph theory is a burgeoning field with many striking results and appealing open questions. This contributed volume contains thirty original survey and research papers on important recent developments in geometric graph theory. The contributions were thoroughly reviewed and written by excellent researchers in this field.

Algorithmic Graph Theory and Perfect Graphs

by Martin Charles Golumbic

Author	: Martin Charles Golumbic
Publisher	: Elsevier
Total Pages	: 307
Release	: 2014-05-10
Genre	: Mathematics
ISBN	: 1483271978

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Algorithmic Graph Theory and Perfect Graphs provides an introduction to graph theory through practical problems. This book presents the mathematical and algorithmic properties of special classes of perfect graphs. Organized into 12 chapters, this book begins with an overview of the graph theoretic notions and the algorithmic design. This text then examines the complexity analysis of computer algorithm and explains the differences between computability and computational complexity. Other chapters consider the parameters and properties of a perfect graph and explore the class of perfect graphs known as comparability graph or transitively orientable graphs. This book discusses as well the two characterizations of triangulated graphs, one algorithmic and the other graph theoretic. The final chapter deals with the method of performing Gaussian elimination on a sparse matrix wherein an arbitrary choice of pivots may result in the filling of some zero positions with nonzeros. This book is a valuable resource for mathematicians and computer scientists.

Graph Theory and Its Applications to Problems of Society

by Fred S. Roberts

Author	: Fred S. Roberts
Publisher	: SIAM
Total Pages	: 123
Release	: 1978-01-01
Genre	: Mathematics
ISBN	: 089871026X

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Explores modern topics in graph theory and its applications to problems in transportation, genetics, pollution, perturbed ecosystems, urban services, and social inequalities. The author presents both traditional and relatively atypical graph-theoretical topics to best illustrate applications.

Fractional Graph Theory

by Edward R. Scheinerman

Author	: Edward R. Scheinerman
Publisher	: Courier Corporation
Total Pages	: 242
Release	: 2013-04-29
Genre	: Mathematics
ISBN	: 0486292134

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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.

Cybersecurity and Applied Mathematics

by Leigh Metcalf

Author	: Leigh Metcalf
Publisher	: Syngress
Total Pages	: 202
Release	: 2016-06-07
Genre	: Computers
ISBN	: 0128044993

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Cybersecurity and Applied Mathematics explores the mathematical concepts necessary for effective cybersecurity research and practice, taking an applied approach for practitioners and students entering the field. This book covers methods of statistical exploratory data analysis and visualization as a type of model for driving decisions, also discussing key topics, such as graph theory, topological complexes, and persistent homology. Defending the Internet is a complex effort, but applying the right techniques from mathematics can make this task more manageable. This book is essential reading for creating useful and replicable methods for analyzing data. - Describes mathematical tools for solving cybersecurity problems, enabling analysts to pick the most optimal tool for the task at hand - Contains numerous cybersecurity examples and exercises using real world data - Written by mathematicians and statisticians with hands-on practitioner experience

Research Trends in Graph Theory and Applications

by Daniela Ferrero

Author	: Daniela Ferrero
Publisher	: Springer Nature
Total Pages	: 150
Release	: 2021-09-06
Genre	: Mathematics
ISBN	: 3030779831

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The Workshop for Women in Graph Theory and Applications was held at the Institute for Mathematics and Its Applications (University of Minnesota, Minneapolis) on August 19-23, 2019. During this five-day workshop, 42 participants performed collaborative research, in six teams, each focused on open problems in different areas of graph theory and its applications. The research work of each team was led by two experts in the corresponding area, who prior to the workshop, carefully selected relevant and meaningful open problems that would yield high-quality research and results of strong impact. As a result, all six teams have made significant contributions to several open problems in their respective areas. The workshop led to the creation of the Women in Graph Theory and Applications Research Collaboration Network, which provided the framework to continue collaborating and to produce this volume. This book contains six chapters, each of them on one of the different areas of research at the Workshop for Women in Graph Theory and Applications, and written by participants of each team.