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.
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C. Godsil and G.F. Royle Algebraic Graph Theory "A welcome addition to the literature . . . beautifully written and wide-ranging in its coverage."—MATHEMATICAL REVIEWS "An accessible introduction to the research literature and to important open questions in modern algebraic graph theory"—L'ENSEIGNEMENT MATHEMATIQUE
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Most Helpful Customer Reviews
28 of 35 people found the following review helpful:
4.0 out of 5 stars
an introduction to an interesting subject,
By Mathieu Dutour (Jerusalem) - See all my reviews
This review is from: Algebraic Graph Theory (Paperback)
--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
3 of 4 people found the following review helpful:
5.0 out of 5 stars
Very Interesting; Just the Right Pace,
By
This review is from: Algebraic Graph Theory (Paperback)
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.
0 of 1 people found the following review helpful:
5.0 out of 5 stars
Good reference book,
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This review is from: Algebraic Graph Theory (Paperback)
An excellent reference for those starting to learn about this subject. It's laid out well and easy to understand.
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Inside This Book
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First Sentence:
A graph X consists of a vertex set V(X) and an edge set E(X), where an edge is an unordered pair of distinct vertices of X. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
second subconstituent, eulerian partition, fractional colouring, closed eulerian walk, first subconstituent, fractional clique, thick vertices, double occurrence word, thick vertex, signed plane graphs, generalized line graph, fractional chromatic number, medial graph, equiangular lines, imperfect graph, minimum valency, orientable map, special hexagon, binary rank, strongly regular graph with parameters, eulerian tour, cubic planar graph, distinct nonadjacent vertices, unique generalized quadrangle, rank polynomial Key Phrases - Capitalized Phrases (CAPs): (learn more)
Theory Ser, Cambridge University Press, New York, Discrete Math, Academic Press, Linear Algebra Appl, Graphs Combin, John Wiley, Sons Inc New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
A graph X consists of a vertex set V(X) and an edge set E(X), where an edge is an unordered pair of distinct vertices of X. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
second subconstituent, eulerian partition, fractional colouring, closed eulerian walk, first subconstituent, fractional clique, thick vertices, double occurrence word, thick vertex, signed plane graphs, generalized line graph, fractional chromatic number, medial graph, equiangular lines, imperfect graph, minimum valency, orientable map, special hexagon, binary rank, strongly regular graph with parameters, eulerian tour, cubic planar graph, distinct nonadjacent vertices, unique generalized quadrangle, rank polynomial Key Phrases - Capitalized Phrases (CAPs): (learn more)
Theory Ser, Cambridge University Press, New York, Discrete Math, Academic Press, Linear Algebra Appl, Graphs Combin, John Wiley, Sons Inc New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 100
books:
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49
books
cite this book:
See all 49 books citing this book
- Algebraic Graph Theory (Cambridge Mathematical Library) by Norman Biggs in Front Matter, page 76, and page 100
- Graph Theory (Graduate Texts in Mathematics) by Reinhard Diestel in Front Matter, page 18, and Back Matter
- Cyclotomic Fields (Graduate Texts in Mathematics) by S. Lang in Front Matter, and Back Matter
- An Introduction to Algebraic Topology (Graduate Texts in Mathematics) by Joseph J. Rotman in Back Matter (1), and Back Matter (2)
- Algebraic Number Theory (Graduate Texts in Mathematics) by Serge Lang in Back Matter (1), and Back Matter (2)
See all 100 books this book cites
- Cooperative Control: A Post-Workshop Volume, 2003 Block Island Workshop on Cooperative Control (Lecture Notes in Control and Information Sciences) by Vijay Kumar on 5 pages
- Topics in Algebraic Graph Theory (Encyclopedia of Mathematics and its Applications) (v. 1) by Lowell W. Beineke on page 55, and page 135
- Algebraic Graph Theory (Graduate Texts in Mathematics) by Chris Godsil in Front Matter, and Back Matter
- Graph Theory (Graduate Texts in Mathematics) by Reinhard Diestel on page 32, and Back Matter
- Problems in Algebraic Number Theory (Graduate Texts in Mathematics) by M. Ram Murty on page
See all 49 books citing this book
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