Graph Theory (on Demand Printing Of 02787) (Advanced Book Program) 1st Edition by Frank Harary (PDF)

Description

An effort has been made to present the various topics in the theory of graphs in a logical order, to indicate the historical background, and to clarify the exposition by including figures to illustrate concepts and results. In addition, there are three appendices which provide diagrams of graphs, directed graphs, and trees. The emphasis throughout is on theorems rather than algorithms or applications, which however are occaisionally mentioned.

User’s Reviews

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

⭐A very good book that should be in every graph theory expert’s library!

⭐Presentation is pretty much obsolete, or of historical interest. But it does have a comprehensive set of all graphs in certain categories, very interesting and nice to have.

⭐I used this text in school, as a computer science student in a theoretical math class.If you are looking for examples of computer algorithms, look elsewhere; the closest this will get you is to “existence proofs”, which is showing that something (such as a hamiltonian cycle) exists in a graph that has thus-and-such number of points or edges, but not tell you which sequence of points/edges make up that something. (For example, a graph can be embedded in a plane unless there’s a subgraph that looks like K(5) or K(3,3) inside it – this is in about chapter 5, and an important theorem. The text proves this, but doesn’t tell you HOW to embed the graph in a plane.)That said, this is an excellent book for theoretical mathematics. I understand that the first two chapters can be used as a high school math text, as an introduction to proofs, and agree that it would work well.As a formal introduction to proving theorems, especially in a self-contained world (you don’t need many prerequisites for this, like you do for a topology or analysis text), this is pretty swell.So, to the person who said that he didn’t like this because there weren’t algorithms in the book: you can find those in the semiliterate computer science textbooks. (I would insist that the last four words of the previous sentence are redundant.)Look here for mathematics.

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