Graphs & Digraphs, Fifth Edition (Textbooks in Mathematics) 5th Edition

This book is as approachable and systematic as any beginning graph theorist could hope for. There are a plethora of introductions to this subject that start slow but by the 2nd or third chapter the reader is set adrift in a dark and stormy sea of theorems steeped in mathematical abstraction. Then there are the texts who turn this fascinating area of Topology and Combinatorics into pedestrian applications like walking thru city streets or delivering mail or building circuits, which are fine but neglect the concepts that can inspire you to continue learning it out of love of the elegant beauty of structures.This text strikes a admirable balance between the two approaches.My one complaint is that at least in this edition the paper is thick and course, the print fades in and out, as if the printer was routinely running out of toner, and the binding over time will split in sections.On balance, the book is worth the purchase. It's accessible and affordable.

The book has helped me understand a lot about graph theory in both of my college graph theory classes. Although the definitions or explanations might be a little vague at times and there are one or two errors in the book, it is a perfect book for those who need an intro into graph theory. The problems in the book can be challenging but if you think about the problems in the correct way, the problems aren't very difficult.

This is quite possible one of the worst textbooks I have ever used. Most of the chapters revolve around theorems and proofs (which is fine for this area of study) but the book doesn't give enough examples to support those theorems and proofs. The beginning chapters are overwhelming and do not give an adequate explanation of the basics you will need for the rest of the book. One example, the majority of the book relies on abbreviations and terms that are only mentioned once (if not at all), and if you do not comprehend these, it is easy to get lost. Most of the exercises at the end of the chapters were not explained clearly throughout the text, requiring that you study another resource to find the answer. Unless you are forced to, please do not spend your money on this monotonous, confusing textbook.

The printing was unacceptable. Many pages had significant faded areas. This made much of the copy difficult to read. As much as could be seen, the content was good.

it is new book and good looking. it help me work on the class and not too much expansive. hope other people like it

This book contains a lot of material and covers it very well. The discipline of graph theory is a broad one, and no textbook could possibly cover all of it, but Graphs and Digraphs gets as close to it as you are likely to find in a single book.The proofs and theorems are stated and proved quickly, giving brief examples only when it feels they are needed. I can see how this would be irritating to a great many students, but this choice allows it to cover far more material without spending pages getting bogged down in extraneous fluff.The end-of-section questions are extremely well thought out. Where many textbooks only ask students to repeat back to the instructor what they read this one expects the students to think before coming up with an answer. The authors assume that the reader wants to master the subject and therefore needs to learn how to think like a graph theorist and so they ask questions that make the reader work for an answer. I personally prefer this philosophy of textbook writing.I feel the need to offer a caveat. This book is for those that want to learn graph theory as opposed to those that want to use graph theory. If you are a computer scientist or someone else that wants a reference that will help with writing and analyzing algorithms I would skip over this book unless you are willing to spend the time and effort to learn the subject inside and out, including those parts of graph theory that have no relevance to whatever it is you are working on. The book is very unforgiving toward those that skip past the part where new vocabulary and concepts are introduced.Chapter Titles:1. Introduction to Graphs2. Trees and Connectivity3. Eulerian and Hamiltonian Graphs4. Digraphs5. Graphs: History and Symmetry6. Planer Graphs7. Graph Embeddings8. Vertex Colorings9. Map Colorings10. Matchings, Factorization and Domination11. Edge Colorings12. Extremal Graph Theory

Book was in good shape.