Fundamentals Of Graph Theory

Author : Allan Bickle
Publisher : American Mathematical Soc.
Page : 336 pages
File Size : 53,9 Mb
Release : 2020-03-10
Category : Education
ISBN : 9781470453428

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Fundamentals of Graph Theory by Allan Bickle Pdf

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.

Author : D Bonchev
Publisher : Routledge
Page : 310 pages
File Size : 51,6 Mb
Release : 2018-05-11
Category : Science
ISBN : 9781351461597

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Chemical Graph Theory by D Bonchev Pdf

This volume presents the fundamentals of graph theory and then goes on to discuss specific chemical applications. Chapter 1 provides a historical setting for the current upsurge of interest in chemical graph theory. Chapter 2 gives a full background of the basic ideas and mathematical formalism of graph theory and includes such chemically relevant notions as connectedness, graph matrix representations, metric properties, symmetry and operations on graphs. This is followed by a discussion on chemical nomenclature and the trends in its rationalization by using graph theory, which has important implications for the storage and retrieval of chemical information. This volume also contains a detailed discussion of the relevance of graph-theoretical polynomials; it describes methodologies for the enumeration of isomers, incorporating the classical Polya method, as well as more recent approaches.

Author : Allan Bickle
Publisher : Unknown
Page : 354 pages
File Size : 43,6 Mb
Release : 2024-06-05
Category : Graph theory
ISBN : 1470455498

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Fundamentals of Graph Theory by Allan Bickle Pdf

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 practi.

Author : Teresa W. Haynes,Stephen Hedetniemi,Peter Slater
Publisher : CRC Press
Page : 465 pages
File Size : 51,7 Mb
Release : 2013-12-16
Category : Mathematics
ISBN : 9781482246582

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Fundamentals of Domination in Graphs by Teresa W. Haynes,Stephen Hedetniemi,Peter Slater Pdf

"Provides the first comprehensive treatment of theoretical, algorithmic, and application aspects of domination in graphs-discussing fundamental results and major research accomplishments in an easy-to-understand style. Includes chapters on domination algorithms and NP-completeness as well as frameworks for domination."

Author : Aleksandr Aleksandrovich Zykov
Publisher : Unknown
Page : 392 pages
File Size : 52,5 Mb
Release : 1990
Category : Mathematics
ISBN : UOM:39015019854598

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Fundamentals of Graph Theory by Aleksandr Aleksandrovich Zykov Pdf

Author : Hartmut Ehrig,Karsten Ehrig,Ulrike Prange,Gabriele Taentzer
Publisher : Springer Science & Business Media
Page : 383 pages
File Size : 45,7 Mb
Release : 2006-05-01
Category : Computers
ISBN : 9783540311881

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Fundamentals of Algebraic Graph Transformation by Hartmut Ehrig,Karsten Ehrig,Ulrike Prange,Gabriele Taentzer Pdf

This is the first textbook treatment of the algebraic approach to graph transformation, based on algebraic structures and category theory. It contains an introduction to classical graphs. Basic and advanced results are first shown for an abstract form of replacement systems and are then instantiated to several forms of graph and Petri net transformation systems. The book develops typed attributed graph transformation and contains a practical case study.

Author : Gary Chartrand,Ping Zhang
Publisher : CRC Press
Page : 503 pages
File Size : 55,6 Mb
Release : 2019-11-28
Category : Mathematics
ISBN : 9780429798283

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Chromatic Graph Theory by Gary Chartrand,Ping Zhang Pdf

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

Author : Singh G. Suresh
Publisher : PHI Learning Pvt. Ltd.
Page : 292 pages
File Size : 47,6 Mb
Release : 2010-08
Category : Mathematics
ISBN : 9788120341050

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Graph Theory by Singh G. Suresh Pdf

Graphical representations have given a new dimension to the problem solving exercise in diverse subjects like mathematics, bio-sciences, chemical sciences, computer science and information technology, social sciences and linguistics. This book is devoted to the models of graph theory, and the solutions provided by these models to the problems encountered in these diverse fields of study. The text offers a comprehensive and coherent introduction to the fundamentals of graph theory, besides giving an application based approach to the subject. Divided into 13 chapters, the book begins with explicating the basics of graph theory, moving onto the techniques involved while drawing the graphs. The subsequent chapters dwell onto the problems solved by the Ramsey table and Perfect graphs. The algebraic graphs and their concepts are also explained with great precision. The concluding chapters discuss research oriented methodologies carried out in the field of graph theory. The research works include the work done by the author himself such as on Union Graphs and Triangular Graceful Graphs, and their ramifications. Primarily intended as a textbook for the undergraduate and postgraduate students of mathematics and computer science, this book will be equally useful for the undergraduate students of engineering. Apart from that, the book can be used as a reference by the researchers and mathematicians. Key Features: Incorporates numerous graphical representations in the form of well-labelled diagrams Presents a balanced approach with the help of worked-out examples, algorithms, definitions and remarks Comprises chapter-end exercises to judge students' comprehension of the subject

Author : Koh Khee Meng,Dong Fengming,Tay Eng Guan
Publisher : World Scientific Publishing Company
Page : 244 pages
File Size : 48,5 Mb
Release : 2007-03-15
Category : Mathematics
ISBN : 9789813101630

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Introduction to Graph Theory by Koh Khee Meng,Dong Fengming,Tay Eng Guan Pdf

Graph theory is an area in discrete mathematics which studies configurations (called graphs) involving a set of vertices interconnected by edges. This book is intended as a general introduction to graph theory and, in particular, as a resource book for junior college students and teachers reading and teaching the subject at H3 Level in the new Singapore mathematics curriculum for junior college. The book builds on the verity that graph theory at this level is a subject that lends itself well to the development of mathematical reasoning and proof.

Author : K. Thulasiraman,M. N. S. Swamy
Publisher : John Wiley & Sons
Page : 480 pages
File Size : 45,5 Mb
Release : 2011-03-29
Category : Mathematics
ISBN : 9781118030257

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Graphs by K. Thulasiraman,M. N. S. Swamy Pdf

This adaptation of an earlier work by the authors is a graduate text and professional reference on the fundamentals of graph theory. It covers the theory of graphs, its applications to computer networks and the theory of graph algorithms. Also includes exercises and an updated bibliography.

Author : Richard J. Trudeau
Publisher : Courier Corporation
Page : 224 pages
File Size : 47,8 Mb
Release : 2013-04-15
Category : Mathematics
ISBN : 9780486318660

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Introduction to Graph Theory by Richard J. Trudeau Pdf

Aimed at "the mathematically traumatized," this text offers nontechnical coverage of graph theory, with exercises. Discusses planar graphs, Euler's formula, Platonic graphs, coloring, the genus of a graph, Euler walks, Hamilton walks, more. 1976 edition.

Author : Alex Fornito,Andrew Zalesky,Edward Bullmore
Publisher : Academic Press
Page : 494 pages
File Size : 54,9 Mb
Release : 2016-03-04
Category : Medical
ISBN : 9780124081185

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Fundamentals of Brain Network Analysis by Alex Fornito,Andrew Zalesky,Edward Bullmore Pdf

Fundamentals of Brain Network Analysis is a comprehensive and accessible introduction to methods for unraveling the extraordinary complexity of neuronal connectivity. From the perspective of graph theory and network science, this book introduces, motivates and explains techniques for modeling brain networks as graphs of nodes connected by edges, and covers a diverse array of measures for quantifying their topological and spatial organization. It builds intuition for key concepts and methods by illustrating how they can be practically applied in diverse areas of neuroscience, ranging from the analysis of synaptic networks in the nematode worm to the characterization of large-scale human brain networks constructed with magnetic resonance imaging. This text is ideally suited to neuroscientists wanting to develop expertise in the rapidly developing field of neural connectomics, and to physical and computational scientists wanting to understand how these quantitative methods can be used to understand brain organization. Extensively illustrated throughout by graphical representations of key mathematical concepts and their practical applications to analyses of nervous systems Comprehensively covers graph theoretical analyses of structural and functional brain networks, from microscopic to macroscopic scales, using examples based on a wide variety of experimental methods in neuroscience Designed to inform and empower scientists at all levels of experience, and from any specialist background, wanting to use modern methods of network science to understand the organization of the brain

Author : TeresaW. Haynes
Publisher : Routledge
Page : 519 pages
File Size : 44,7 Mb
Release : 2017-11-22
Category : Mathematics
ISBN : 9781351454643

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Domination in Graphs by TeresaW. Haynes Pdf

""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.

Author : L.R. Foulds
Publisher : Springer Science & Business Media
Page : 389 pages
File Size : 46,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461209331

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Graph Theory Applications by L.R. Foulds Pdf

The first part of this text covers the main graph theoretic topics: connectivity, trees, traversability, planarity, colouring, covering, matching, digraphs, networks, matrices of a graph, graph theoretic algorithms, and matroids. These concepts are then applied in the second part to problems in engineering, operations research, and science as well as to an interesting set of miscellaneous problems, thus illustrating their broad applicability. Every effort has been made to present applications that use not merely the notation and terminology of graph theory, but also its actual mathematical results. Some of the applications, such as in molecular evolution, facilities layout, and graffic network design, have never appeared before in book form. Written at an advanced undergraduate to beginning graduate level, this book is suitable for students of mathematics, engineering, operations research, computer science, and physical sciences as well as for researchers and practitioners with an interest in graph theoretic modelling.

Author : John Harris,Jeffry L. Hirst,Michael Mossinghoff
Publisher : Springer Science & Business Media
Page : 392 pages
File Size : 49,8 Mb
Release : 2009-04-03
Category : Mathematics
ISBN : 9780387797113

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Combinatorics and Graph Theory by John Harris,Jeffry L. Hirst,Michael Mossinghoff Pdf

These notes were first used in an introductory course team taught by the authors at Appalachian State University to advanced undergraduates and beginning graduates. The text was written with four pedagogical goals in mind: offer a variety of topics in one course, get to the main themes and tools as efficiently as possible, show the relationships between the different topics, and include recent results to convince students that mathematics is a living discipline.