Problems in Combinatorics and Graph Theory
โ Scribed by Ioan Tomescu, Robert A. Melter
- Publisher
- John Wiley & Sons
- Year
- 1985
- Tongue
- English
- Leaves
- 351
- Series
- Wiley Interscience Series in Discrete Mathematics
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
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 graphs and networks -- Coloring problems -- Hamiltonian problems -- Permutations -- The number of classes of configurations relative to a group of permutations -- Problems of Ramsey type -- Part 2: 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
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 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