Combinatorics A Problem-Based Approach /

• Main Author: Mladenović, Pavle (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: Problem Books in Mathematics,
• Subjects: Combinatorics.; Graph theory.; Graph Theory.

This text provides a theoretical background for several topics in combinatorial mathematics, such as enumerative combinatorics (including partitions and Burnside's lemma), magic and Latin squares, graph theory, extremal combinatorics, mathematical games and elementary probability. A number of e...

Table of Contents:

• Chapter 1- Arrangements, Permutations, and Combinations
• Chapter 2- Binomial and Multinomial Theorems
• Chapter 3- Inclusion-Exclusion Principle
• Chapter 4- Generating Functions
• Chapter 5- Partitions
• Chapter 6- Burnside's Lemma
• Chapter 7- Graph Theory: Part 1
• Chapter 8- Graph Theory: Part 2
• Chapter 9- Existence of Combinatorial Congurations
• Chapter 10- Mathematical Games
• Chapter 11- Elementary Probability
• Chapter 12- Additional Problems
• Solutions to Exercises and Problems
• References
• Index.