Wednesday, April 17, 2013

Combinatorics and Graph Theory 2nd Edition, John Harris

Combinatorics and Graph Theory 2nd Edition PDF Download Ebook. John Harris, Jeffry L. Hirst and Michael Mossinghoff offer wide variety of topics in combinatorics and graph theory. It includes results and problems that cross subdisciplines, emphasizing relationships between different areas of mathematics.

In addition, recent results appear in the text, illustrating the fact that mathematics is a living discipline. The second edition includes many new topics and features new sections in graph theory on distance, Eulerian trails, and Hamiltonian paths. New material on partitions, multinomial coefficients, and the pigeonhole principle is presented with expanded coverage of PĆ³lya Theory to include de Bruijn’s method for counting arrangements when a second symmetry group acts on the set of allowed colors.

There are topics in combinatorial geometry, including Erdos and Szekeres’ development of Ramsey Theory in a problem about convex polygons determined by sets of points. This book also offers expanded coverage of stable marriage problems, and new sections on marriage problems for infinite sets, both countable and uncountable with numerous new exercises throughout the book.

The narrative and proofs are well written, and the authors are given to frequent uses of humor. Students should find this book as easy to read as any other good-quality text written with them in mind. Each of the three chapters concludes with several paragraphs describing an excellent selection of more advanced texts or papers to consider for further study.

There is a short section on References in each chapter introducing briefly other books dealing with the topics covered in the respective chapter. A full list of 293 references, about 550 exercises and an index with 13 pages are also provided.

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