Algebraic Graph Theory (Graduate Texts in Mathematics Book 207) 2001st Edition by Chris Godsil (PDF)

Description

Algebraic graph theory is a combination of two strands. The first is the study of algebraic objects associated with graphs. The second is the use of tools from algebra to derive properties of graphs. The authors’ goal has been to present and illustrate the main tools and ideas of algebraic graph theory, with an emphasis on current rather than classical topics. While placing a strong emphasis on concrete examples, the authors tried to keep the treatment self-contained.

User’s Reviews

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

⭐This is the best reference for core concepts in graph theory that require some mathematical muscle. Very accessible text from the start and eases the reader/student into the material.

⭐I highly recommend this book to anybody interested in algebriac combinatorics, abtsract algebra, random walks on discrete structures, and in general symmetry. With a little background in linear algebra and abstract algebra, it will guide you through one of the most beautiful subjects in mathematics.

⭐I bought this book because I need to look for connections between groups and the graph complement of a graph G. The book is ok but unfottunately I did not find information about the topic I am researching.

⭐Very cool stuff going on here.

⭐An excellent reference for those starting to learn about this subject. It’s laid out well and easy to understand.

⭐I have found this book very helpful in trying to understand both the basics of graph theory and advanced topics like spectral graph theory. This book does not use brooding overly complex language and moves through the material at a very good pace. It gives an exciting taste of some beautiful examples in graph theory, such as the Coxeter graph, to motivate research in it, and moves at just the right pace. It doesn’t take forever to explain simple concepts and lets the reader quickly understand many concepts, even somewhat advanced ones, without making the material too difficult.The reader is very much given a choice as to how much detail s/he wants to absorb. One can have a brief glance at just the theorems and definitions, which are easy to find using the index, and are well-stated. Or, one can briefly glance at the text without going into too much detail but still get the big picture. Finally, even complete understanding can be achieved without taking up too much time.I highly recommend this book for a first or second course in graph theory, to anyone looking to start research in graph theory, for teachers who wish to motivate their students to start research in graph theory, as a reference, or as a quick borrow to learn a concept or two, making this book very important for any library.

⭐–The first part of the book is devoted to quite hard chapters on transitive, arc-transitive graph, homomorphism, etc.–The second part is about Matrix theory, interlacing, strongly regular graph, two graph, generalized line graph, etc it is the main part of the book.–The third part is about cut, flows, Knots, etc.This book can serve as a nice introduction to the subject of Graph theory.Nevertheless:–This book lacks some more example, for this see “distance regular graph”.–It is sketchy on chromatic polynomial, planar graph.–The original book by Norman Biggs is shorter, smarter, nicer

⭐just here to support professor Godsil. I am terrible at this actually. But it is a fascinating topic,and was a very new concept of math to me. 🙂

⭐Does exactly what it says on the tin

⭐Einfach ein großartiges Buch über die Algebraische Graphentheorie, welches einen umfangreichen Überblick über das Thema bietet. Dabei ist das Buch sowohl für Einsteiger als auch für Fortgeschrittene zu empfehlen. Es ist als Ergänzung zum Lehrmaterial für Vorlesungen als auch zum Selbststudium geeignet.It’s very original. I really like the subject and the book has a great style of writing.

⭐Good book

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