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
Problems in Combinatorics and Graph Theory
โ Scribed by Ioan Tomescu, Robert A. Melter
- Publisher
- Wiley-Interscience
- Year
- 1985
- Tongue
- English
- Leaves
- 178
- Series
- Wiley Interscience Series in Discrete Mathematics
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
Three hundred and sixty-nine problems with fully worked solutions for courses in computer science, combinatorics, and graph theory, designed to provide graded practice to students with as little as a high school algebra background. Originally used to prepare Rumanian candidates for participation in the International Mathematical Olympiads, this book includes both simple problems and complex ones, arranged according to subject. It provides various levels of problems, some of which had been previously available only in research journals. All details of the proofs are given in the solutions.
๐ SIMILAR VOLUMES
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
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