INTRODUCTION TO GRAPH THEORY GARY CHARTRAND PDF

Start your review of Introduction to Graph Theory Write a review Shelves: books-i-own The title here is a bit misleading. The general setup for a chapter is: Introduce a classic problem, define some basic graph theory terms that would be helpful, prove a couple theorems, give a couple of examples. So nothing ever gets very deep, but it does present at least the basic The title here is a bit misleading. So nothing ever gets very deep, but it does present at least the basic ideas of a lot of things. So: it is what it is--easy to read, with some good motivation and problems, but not very technical. As often as not, such problems can be expressed as a network of interrelated nodes, and if so, the problem probably has a name and a known solution in graph theory.

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Product Details 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.

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. 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 — , a prominent and productive Hungarian mathematician who traveled the world collaborating with other mathematicians on his research papers.

Ultimately, Erdos published about 1, papers, by far the most published by any individual mathematician. Erdos himself was assigned an Erdos number of 0. A mathematician who collaborated directly with Erdos himself on a paper there are such individuals has an Erdos number of 1.

A mathematician who collaborated with one of those 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.

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Introduction to Graph Theory

The general setup for a chapter is: Introduce a classic problem, define some basic graph theory terms that would be helpful, prove a couple theorems, give a couple of examples. So nothing ever gets very deep, but it does present at least the basic The title here is a bit misleading. So nothing ever gets very deep, but it does present at least the basic ideas of a lot of things. So: it is what it is--easy to read, with some good motivation and problems, but not very technical. As often as not, such problems can be expressed as a network of interrelated nodes, and if so, the problem probably has a name and a known solution in graph theory.

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