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Graph Theory with Algorithms and its Applications

Graph Theory with Algorithms and its Applications
Author: Santanu Saha Ray
Publisher: Springer Science & Business Media
Total Pages: 223
Release: 2012-11-02
Genre: Technology & Engineering
ISBN: 8132207505
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The book has many important features which make it suitable for both undergraduate and postgraduate students in various branches of engineering and general and applied sciences. The important topics interrelating Mathematics & Computer Science are also covered briefly. The book is useful to readers with a wide range of backgrounds including Mathematics, Computer Science/Computer Applications and Operational Research. While dealing with theorems and algorithms, emphasis is laid on constructions which consist of formal proofs, examples with applications. Uptill, there is scarcity of books in the open literature which cover all the things including most importantly various algorithms and applications with examples.

Fundamentals of Graph Theory

Fundamentals of Graph Theory
Author: Allan Bickle
Publisher: American Mathematical Soc.
Total Pages: 336
Release: 2020-03-10
Genre: Education
ISBN: 1470453428
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Graph theory is a fascinating and inviting branch of mathematics. Many problems are easy to state and have natural visual representations, inviting exploration by new students and professional mathematicians. The goal of this textbook is to present the fundamentals of graph theory to a wide range of readers. The book contains many significant recent results in graph theory, presented using up-to-date notation. The author included the shortest, most elegant, most intuitive proofs for modern and classic results while frequently presenting them in new ways. Major topics are introduced with practical applications that motivate their development, and which are illustrated with examples that show how to apply major theorems in practice. This includes the process of finding a brute force solution (case-checking) when an elegant solution is not apparent. With over 1200 exercises, internet resources (e.g., the OEIS for counting problems), helpful appendices, and a detailed guide to different course outlines, this book provides a versatile and convenient tool for the needs of instructors at a large variety of institutions.

Applying Graph Theory in Ecological Research

Applying Graph Theory in Ecological Research
Author: Mark R.T. Dale
Publisher: Cambridge University Press
Total Pages: 355
Release: 2017-11-09
Genre: Mathematics
ISBN: 110708931X
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This book clearly describes the many applications of graph theory to ecological questions, providing instruction and encouragement to researchers.

Graph Theory and Its Applications to Problems of Society

Graph Theory and Its Applications to Problems of Society
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.

Applied and Algorithmic Graph Theory

Applied and Algorithmic Graph Theory
Author: Gary Chartrand
Publisher: McGraw-Hill Companies
Total Pages: 424
Release: 1993
Genre: Mathematics
ISBN:
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Designed as a bridge to cross the gap between mathematics and computer science, and planned as the mathematics base for computer science students, this maths text is designed to help the student develop an understanding of the concept of an efficient algorithm.

Applied Graph Theory

Applied Graph Theory
Author: Wai-Kai Chen
Publisher: Elsevier
Total Pages: 559
Release: 2014-11-28
Genre: Mathematics
ISBN: 1483164152
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Applied Graph Theory: Graphs and Electrical Networks, Second Revised Edition provides a concise discussion of the fundamentals of graph and its application to the electrical network theory. The book emphasizes the mathematical precision of the concepts and principles involved. The text first covers the basic theory of graph, and then proceeds to tackling in the next three chapters the various applications of graph to electrical network theory. These chapters also discuss the foundations of electrical network theory; directed-graph solutions of linear algebraic equations; and topological analysis of linear systems. Next, the book covers trees and their generation. Chapter 6 deals with the realizability of directed graphs with prescribed degrees, while Chapter 7 talks about state equations of networks. The book will be of great use to researchers of network topology, linear systems, and circuitries.

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

Handbook of Research on Advanced Applications of Graph Theory in Modern Society
Author: Pal, Madhumangal
Publisher: IGI Global
Total Pages: 591
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.

Adventures in Graph Theory

Adventures in Graph Theory
Author: W. David Joyner
Publisher: Birkhäuser
Total Pages: 344
Release: 2017-12-28
Genre: Mathematics
ISBN: 3319683837
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This textbook acts as a pathway to higher mathematics by seeking and illuminating the connections between graph theory and diverse fields of mathematics, such as calculus on manifolds, group theory, algebraic curves, Fourier analysis, cryptography and other areas of combinatorics. An overview of graph theory definitions and polynomial invariants for graphs prepares the reader for the subsequent dive into the applications of graph theory. To pique the reader’s interest in areas of possible exploration, recent results in mathematics appear throughout the book, accompanied with examples of related graphs, how they arise, and what their valuable uses are. The consequences of graph theory covered by the authors are complicated and far-reaching, so topics are always exhibited in a user-friendly manner with copious graphs, exercises, and Sage code for the computation of equations. Samples of the book’s source code can be found at github.com/springer-math/adventures-in-graph-theory. The text is geared towards advanced undergraduate and graduate students and is particularly useful for those trying to decide what type of problem to tackle for their dissertation. This book can also serve as a reference for anyone interested in exploring how they can apply graph theory to other parts of mathematics.

Graph Theory with Applications to Engineering and Computer Science

Graph Theory with Applications to Engineering and Computer Science
Author: Narsingh Deo
Publisher: PHI Learning Pvt. Ltd.
Total Pages: 478
Release: 1974
Genre: Graph theory
ISBN: 9788120301450
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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.

Applied Graph Theory

Applied Graph Theory
Author: Clifford W. Marshall
Publisher: John Wiley & Sons
Total Pages: 346
Release: 1971
Genre: Mathematics
ISBN:
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Basic concepts. Basic definitions of linear graphs. Edge sequenses and conectedness. Matrix representation of graphs. special graphs and subgraphs. Connectivity and independence in graphs. Planar graphs. Definitions and concepts of planar graphs. Straight line representation of planar graphs. Criteria for planar graphs. Determination of planarity. Hamilton graphs. Definitions and basic concepts. Cubical graphs. Additional results on Hamilton graphs. Graph coloring. Combinatorial theory. Radom graphs. Application in operations research. Applications in social science and psychology. Applications in physics.