A First Course in Graph Theory (Dover Books on Mathematics) by Gary Chartrand (PDF)

Description

This comprehensive text offers undergraduates a remarkably student-friendly introduction to graph theory. Written by two of the field’s most prominent experts, it takes an engaging approach that emphasizes graph theory’s history. Unique examples and lucid proofs provide a sound yet accessible treatment that stimulates interest in an evolving subject and its many applications.Optional sections designated as “excursion” and “exploration” present interesting sidelights of graph theory and touch upon topics that allow students the opportunity to experiment and use their imaginations. Three appendixes review important facts about sets and logic, equivalence relations and functions, and the methods of proof. The text concludes with solutions or hints for odd-numbered exercises, in addition to references, indexes, and a list of symbols.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐I like the book. I have both the print edition and the Kindle edition. So far I found two errors in the Kindle edition that are not in the print edition, and I am only on Chapter One! For a text in Discrete Mathematics this is a little disturbing.Suggested errata:(1): page 12, Theorem 1.6, replace “contains a u – l path” with “contains a u-v path”.(2): page 15, last paragraph, (requires a symbolic correction) replace “If uv is not an element of E(G)” with “If uv is an element of E(G)”.

⭐This is about as intro of a course to Graph theory that you can find. Even if you know graph theory this actually has alot of coverage I have not seen in many texts.It is more extensive of treatment than you will find in a discrete math textbook. This has both some of the standard metaphors employed in texts and a few very good orginal metaphors.Where this book really shines is the author really drives home how to transform applied problems into graph theory. Most books show you applied problems, but fail to inspire and give the student the ability to explore their own problems into graphs. This book does that every chapter.The student is eased into concepts, and then more depth is added through examples and theorems. There are excellent applied problems and examples.Chartland’s other book on graph theory has great examples and applications, however, this book has fewer but provides better instruction.This is a great self-study, especially if you had graph theory in another textbook and want more but are not ready for a purely proof/theorem approach taken by alot of the more rigorous texts.

⭐I will offer a brief review from the perspective of an instructor. I like this text quite a bit. It covers all the fundamental topics one would expect to see in an intro graph theory course. In fact, there is more than enough material to fit in one semester. Also, there are enough challenging excursions for interested and/or talented students. The exercises follow the typical order, that being relatively easy to more difficult. Overall, a good book with a clear and precise exposition.

⭐A very good introduction to graph theory for beginners. Easy to follow.

⭐I’m using this book as supplemental reading to another good book on Graph Theory (Gross and Yellen).I find the presentation of Professors Chartrand and Zhang very engaging, lucid and fluid.The book does a great job in making abstract theorems tangible and building the student’s intuition.Finding a book of this quality at this price point is a rarity these days…And the two professors should be praised for bringing this book to market.Hopefully, it will serve to popularize this very interesting field of mathematics.

⭐A gift so no personal opinion. Seems well liked.

⭐I taught a special topics undergraduate course from this book, to a class of about 10 students. One of my favorite classes ever, in a 20+ year career. The authors did a lovely job of organizing topics into chapters that form a thorough but readable sampler. There are excellent exercises also to explore each topic. I highly recommend this to anyone wanting to learn about Graph Theory through self-study, or to other instructors wanting a sound introductory textbook. I am so glad it is available from Dover too!

⭐Good

⭐Eines meiner wertvollsten Bücher. Verständlich, motivierend, umfangreich. Beleuchtet Theoreme oft von mehreren Seiten. Für alle Graphen Einsteiger und Fortgeschrittene würde ich das Buch definitiv empfehlen. Bin sehr zufrieden damit.

⭐

⭐El libro presenta los temas básicos y algunos temas extra de la teoría de gráficas. Pero cada capitulo presenta una cantidad suficiente de material con abundantes ejercicios, de tal manera que cada capitulo se siente muy completo.

⭐

⭐Good book for a first course in graph theory. It was also helpfull in first AI course.

⭐Me agrada mucho que trae referencias históricas y semblanzas de los matemáticos involucrados en el desarrollo de la teoría.

⭐

⭐Great book, very informative and clear argumentation. I really appreciate the expositions, since I’ m not a mathematician or computer scientist, only an interested reader and a passionate researcher in Music and Language.

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