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Author : Richard J. Trudeau
ISBN : 9780486318660
Genre : Mathematics
File Size : 38.47 MB
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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 : Douglas West
ISBN : 0131437372
Genre : Mathematics
File Size : 57.89 MB
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This book fills a need for a thorough introduction to graph theory that features both the understanding and writing of proofs about graphs. Verification that algorithms work is emphasized more than their complexity.An effective use of examples, and huge number of interesting exercises, demonstrate the topics of trees and distance, matchings and factors, connectivity and paths, graph coloring, edges and cycles, and planar graphs.For those who need to learn to make coherent arguments in the fields of mathematics and computer science.

Author : Khee Meng Koh
ISBN : 9789812771759
Genre : Mathematics
File Size : 83.94 MB
Format : PDF
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This is a companion to the book Introduction to Graph Theory (World Scientific, 2006). The student who has worked on the problems will find the solutions presented useful as a check and also as a model for rigorous mathematical writing. For ease of reference, each chapter recaps some of the important concepts and/or formulae from the earlier book.

Author : Robin J. Wilson
ISBN : UOM:39015014351970
Genre : Mathematics
File Size : 52.93 MB
Format : PDF, Docs
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Graph Theory has recently emerged as a subject in its own right, as well as being an important mathematical tool in such diverse subjects as operational research, chemistry, sociology and genetics. This book provides a comprehensive introduction to the subject.

Author : Gary Chartrand
ISBN : 9780486134949
Genre : Science
File Size : 74.89 MB
Format : PDF, Kindle
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Clear, lively style covers all basics of theory and application, including mathematical models, elementary graph theory, transportation problems, connection problems, party problems, diagraphs and mathematical models, games and puzzles, more.

Author : Fred Buckley
ISBN : 0130669490
Genre : Mathematics
File Size : 37.12 MB
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This book introduces graph theory, a subject with a wide range of applications in real-work situations. This book is designed to be easily accessible to the novice, assuming no more than a good grasp of algebra to understand and relate to the concepts presented. Using many examples, illustrations, and figures, it provides an excellent foundation for the basic knowledge of graphs and their applications. This book includes an introductory chapter that reviews the tools necessary to understand the concepts of graphs, and then goes on to cover such topics as trees and bipartite graphs, distance and connectivity, Eulerian and Hamiltonian graphs, graph coloring, matrices, algorithms, planar graphs, and digraphs and networks. Graph theory has a wide range of applications; this book is useful for those in the fields of anthropology, computer science, chemistry, environmental conservation, fluid dynamics, psychology, sociology, traffic management, telecommunications, and business managers and strategists.

Concisely written, gentle introduction to graph theory suitable as a textbook or for self-study Graph-theoretic applications from diverse fields (computer science, engineering, chemistry, management science) 2nd ed. includes new chapters on labeling and communications networks and small worlds, as well as expanded beginner's material Many additional changes, improvements, and corrections resulting from classroom use

Author : D Bonchev
ISBN : 9781351461597
Genre : Science
File Size : 42.87 MB
Format : PDF
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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 : Ronald Gould
ISBN : 9780486498065
Genre : Mathematics
File Size : 58.23 MB
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An introductory text in graph theory, this treatment coversprimary techniques and includes both algorithmic and theoreticalproblems. Algorithms are presented with a minimumof advanced data structures and programming details. Thisthoroughly corrected 1988 edition provides insights to computerscientists as well as mathematicians studying topology,algebra, and matrix theory.Reprint of the Benjamin/Cummings Publishing Company,Menlo Park, California, 1988 edition.