Walk Through Combinatorics, A: An Introduction to Enumeration and Graph Theory (Fourth Edition) - by Miklos Bona

This comprehensive textbook on combinatorics is a must-have for any student looking to master the subject.

With an extensive list of problems, ranging from routine exercises to research questions, this book provides a thorough introduction to the classic parts of combinatorial enumeration and graph theory, as well as recent progress in the field.

The book covers all the essential topics, including the twelvefold way, cycles in permutations, the formula of inclusion and exclusion, graphs and trees, matchings, Eulerian and Hamiltonian cycles, and planar graphs. The new edition also includes Quick Check exercises at the end of each section, providing an additional 240 new exercises for students to practice and reinforce their understanding of the material.

Plus, the book offers a range of advanced topics, such as Ramsey theory, pattern avoidance, and generating functions of labeled and unlabeled structures, making it suitable for students looking to delve deeper into the subject. With its engaging and accessible writing style, this textbook is perfect for students who want to learn more combinatorics in a fun and enjoyable way.

Whether you're a student looking to master combinatorics or an instructor seeking a comprehensive and engaging textbook, this book is the ideal choice.