Problems in combinatorics and graph theory

✍ Scribed by Ioan Tomescu (author), Robert A. Melter (translator)

Publisher: Wiley
Year: 1985
Tongue: English
Leaves: 356
Series: Wiley-Interscience series in discrete mathematics
Category: Library

No coin nor oath required. For personal study only.

✦ Table of Contents

Title
Preface
Contents
Glossary of Terms Used
Part I: Statements of Problems
1. Combinatorial Identities
2. The Principle of Inclusion and Exclusion; Inversion Formulas
3. Stirling, Bell, Fibonacci, and Catalan Numbers
4. Problems in Combinatorial Set Theory
5. Partitions of Integers
6. Trees
7. Parity
8. Connectedness
9. Extremal Problems for Graphs and Networks
10. Coloring Problems
11. Hamiltonian Problems
12. Permutations
13. The Number of Classes of Conﬁgurations Relative to a Group of Permutations
14. Problems of Ramsey Type
Part II: Solutions
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Chapter 9
Chapter 10
Chapter 11
Chapter 12
Chapter 13
Chapter 14
Bibliography

📜 SIMILAR VOLUMES

Problems in Combinatorics and Graph Theo

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Part 1: Statement of problems -- Combinatorial identities -- The principle of inclusion and exclusion: inversion formulas -- Stirling, Bell, Fibonacci, and Catalan numbers -- Problems in combinatorial set theory -- Partitions of integers -- Trees -- Parity -- Connectedness -- Extremal problems for

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Covers the most important combinatorial structures and techniques. This is a book of problems and solutions which range in difficulty and scope from the elementary/student-oriented to open questions at the research level. Each problem is accompanied by a complete and detailed solution together with

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The first chapter of this book provides a brief treatment of the basics of the subject. The other chapters deal with the various decompositions of non-negative matrices, Birkhoff type theorems, the study of the powers of non-negative matrices, applications of matrix methods to other combinatoria