Computational Discrete Mathematics
Combinatorics and Graph Theory with Mathematica ®

This definitive reference on Combinatorica contains examples of all 450 functions plus tutorial text.

Sriram Pemmaraju (Author), Steven Skiena (Author)

9780521121460, Cambridge University Press

Paperback, published 15 October 2009

496 pages
22.9 x 15.2 x 2.5 cm, 0.72 kg

Review of the hardback: 'This book is the definite reference guide to Combinatorica … it is more than just a reference since it has all the necessary theory to comprehend the concepts … It is a very readable edition full of graphical and stimulating approaches to combinatorics and graph theories … This is a great resource for the acknowledgment of beautiful patterns and important properties of graphs and other combinatorial objects … This book is highly recommended. it is well organized, and readable textbook for beginners and intermediate students.' Leonardo On-line

This book was first published in 2003. Combinatorica, an extension to the popular computer algebra system Mathematica®, is the most comprehensive software available for teaching and research applications of discrete mathematics, particularly combinatorics and graph theory. This book is the definitive reference/user's guide to Combinatorica, with examples of all 450 Combinatorica functions in action, along with the associated mathematical and algorithmic theory. The authors cover classical and advanced topics on the most important combinatorial objects: permutations, subsets, partitions, and Young tableaux, as well as all important areas of graph theory: graph construction operations, invariants, embeddings, and algorithmic graph theory. In addition to being a research tool, Combinatorica makes discrete mathematics accessible in new and exciting ways to a wide variety of people, by encouraging computational experimentation and visualization. The book contains no formal proofs, but enough discussion to understand and appreciate all the algorithms and theorems it contains.

1. Combinatorica: an explorer's guide
2. Permutations and combinations
3. Algebraic combinatorics
4. Partitions, compositions and Young tableaux
5. Graph representation
6. Generating graphs
7. Properties of graphs
8. Algorithmic graph theory.

Subject Areas: Mathematical & statistical software [UFM], Combinatorics & graph theory [PBV]