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Dover Books on Mathematics Ser.: Introductory Graph Theory by Gary Chartrand (1984, Trade Paperback, Reprint)

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Graph theory is used today in the physical sciences, social sciences, computer science, and other areas. Introductory Graph Theory presents a nontechnical introduction to this exciting field in a clear, lively, and informative style. Author Gary Chartrand covers the important elementary topics of graph theory and its applications. In addition, he presents a large variety of proofs designed to strengthen mathematical techniques and offers challenging opportunities to have fun with mathematics. Ten major topics -- profusely illustrated -- include: Mathematical Models, Elementary Concepts of Graph Theory, Transportation Problems, Connection Problems, Party Problems, Digraphs and Mathematical Models, Games and Puzzles, Graphs and Social Psychology, Planar Graphs and Coloring Problems, and Graphs and Other Mathematics. A useful Appendix covers Sets, Relations, Functions, and Proofs, and a section devoted to exercises -- with answers, hints, and solutions -- is especially valuable to anyone encountering graph theory for the first time. Undergraduate mathematics students at every level, puzzlists, and mathematical hobbyists will find well-organized coverage of the fundamentals of graph theory in this highly readable and thoroughly enjoyable book.

Product Identifiers

Publisher
Dover Publications, Incorporated
ISBN-10
0486247759
ISBN-13
9780486247755
eBay Product ID (ePID)
127408190

Product Key Features

Author
Gary Chartrand
Publication Name
Introductory Graph Theory
Format
Trade Paperback
Language
English
Features
Reprint
Series
Dover Books on Mathematics Ser.
Publication Year
1984
Type
Textbook
Number of Pages
320 Pages

Dimensions

Item Length
8.5in
Item Width
5.4in
Item Weight
13.2 Oz

Additional Product Features

Lc Classification Number
Qa166.C453 1985
Edition Description
Reprint
Table of Content
Chapter 1 Mathematical Models 1.1 Nonmathematical Models 1.2 Mathematical Models 1.3 Graphs 1.4 Graphs as Mathematical Models 1.5 Directed Graphs as Mathematical Models 1.6 Networks as Mathematical Models Chapter 2 Elementary Concepts of Graph Theory 2.1 The Degree of a Vertex 2.2 Isomorphic Graphs 2.3 Connected Graphs 2.4 Cut-Vertices and Bridges Chapter 3 Transportation Problems 3.1 The Königsberg Bridge Problem: An Introduction to Eulerian Graphs 3.2 The Salesman's Problem: An Introduction to Hamiltonian Graphs Chapter 4 Connection Problems 4.1 The Minimal Connector Problem: An Introduction to Trees *4.2 Trees and Probability 4.3 PERT and the Critical Path Method Chapter 5 Party Problems 5.1 The Problem of Eccentric Hosts: An Introduction to Ramsey Numbers 5.2 The Dancing Problem: An Introduction to Matching Chapter 6 Games and Puzzles 6.1 "The Problem of the Four Multicolored Cubes: A Solution to "Instant Insanity" 6.2 The Knight's Tour 6.3 The Tower of Hanoi 6.4 The Three Cannibals and Three Missionaries Problem Chapter 7 Digraphs and Mathematical Models 7.1 A Traffic System Problem: An Introduction to Orientable Graphs 7.2 Tournaments 7.3 Paired Comparisons and How to Fix Elections Chapter 8 Graphs and Social Psychology 8.1 The Problem of Balance 8.2 The Problem of Clustering 8.3 Graphs and Transactional Analysis Chapter 9 Planar Graphs and Coloring Problems 9.1 The Three Houses and Three Utilities Problem: An Introduction to Planar Graphs 9.2 A Scheduling Problem: An Introduction to Chromatic Numbers 9.3 The Four Color Problem *Chapter 10 Graphs and Other Mathematics 10.1 Graphs and Matrices 10.2 Graphs and Topology 10.3 Graphs and Groups "Appendix Sets, Relations, Functions, Proofs" A.1 Sets and Subsets A.2 Cartesian Products and Relations A.3 Equivalence Relations A.4 Functions A.5 Theorems and Proofs A.6 Mathematical Induction "Answers, Hints, and Solutions to Selected Exercises" Index
Topic
Applied Sciences, Graphic Methods, Applied
Lccn
84-018801
Dewey Decimal
511/.5
Intended Audience
College Audience
Dewey Edition
19
Illustrated
Yes
Genre
Science, Mathematics

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Picture 1 of 1

Dover Books on Mathematics Ser.: Introductory Graph Theory by Gary Chartrand (1984, Trade Paperback, Reprint)

About this product

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Product Identifiers

Product Key Features

Dimensions

Additional Product Features

All listings for this product

item 1 Introductory Graph Theory by Chartrand, Gary

item 2 Introductory Graph Theory by Chartrand, Gary

item 3 Introductory Graph Theory (Dover Books on Mathematics) - Paperback - ACCEPTABLE

item 4 Introductory Graph Theory (Dover Books on Mathematics) Chartrand, Gary paperbac

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item 7 Introductory Graph Theory Paperback Gary Chartrand

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