Introductory Graph Theory by Gary Chartrand (English) Paperback Book

Description: Introductory Graph Theory by Gary Chartrand Estimated delivery 3-12 business days Format Paperback Condition Brand New Description 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. Publisher Description 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 colouring 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-organised coverage of the fundamentals of graph theory in this highly readable and thoroughly enjoyable book. Author Biography Six Degrees of Paul Erdos Contrary to popular belief, mathematicians do quite often have fun. Take, for example, the phenomenon of the Erdos number. Paul Erdos (1913-1996), a prominent and productive Hungarian mathematician who traveled the world collaborating with other mathematicians on his research papers. Ultimately, Erdos published about 1,400 papers, by far the most published by any individual mathematician. About 1970, a group of Erdoss friends and collaborators created the concept of the "Erdos number" to define the "collaborative distance" between Erdos and other mathematicians. Erdos himself was assigned an Erdos number of 0. A mathematician who collaborated directly with Erdos himself on a paper (there are 511 such individuals) has an Erdos number of 1. A mathematician who collaborated with one of those 511 mathematicians would have an Erdos number of 2, and so on - there are several thousand mathematicians with a 2. From this humble beginning, the mathematical elaboration of the Erdos number quickly became more and more elaborate, involving mean Erdos numbers, finite Erdos numbers, and others. In all, it is believed that about 200,000 mathematicians have an assigned Erdos number now, and 90 percent of the worlds active mathematicians have an Erdos number lower than 8. Its somewhat similar to the well-known Hollywood trivia game, Six Degrees of Kevin Bacon. In fact there are some crossovers: Actress-mathematician Danica McKellar, who appeared in TVs The Wonder Years, has an Erdos number of 4 and a Bacon number of 2. This is all leading up to the fact that Gary Chartrand, author of Dovers Introductory Graph Theory, has an Erdos number of 1 - and is one of many Dover authors who share this honor. Details ISBN 0486247759 ISBN-13 9780486247755 Title Introductory Graph Theory Author Gary Chartrand Format Paperback Year 2003 Pages 320 Publisher Dover Publications Inc. GE_Item_ID:7596090; About Us Grand Eagle Retail is the ideal place for all your shopping needs! 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