Combinatorics is a branch of mathematics concerning the study of finite or countable discrete structures. Aspects of combinatorics include counting the structures of a given kind and size (enumerative combinatorics), deciding when certain criteria can be met, and constructing and analyzing objects meeting the criteria (as in combinatorial designs and matroid theory), finding "largest", "smallest", or "optimal" objects (extremal combinatorics and combinatorial optimization), and studying combinatorial structures arising in an algebraic context, or applying algebraic techniques to combinatorial problems (algebraic combinatorics).
Graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects. A "graph" in this context is made up of "vertices" or "nodes" and lines called edges that connect them. A graph may be undirected, meaning that there is no distinction between the two vertices associated with each edge, or its edges may be directed from one vertex to another; see graph (mathematics) for more detailed definitions and for other variations in the types of graph that are commonly considered. Graphs are one of the prime objects of study in discrete mathematics.
Pages : | : N/A |
Size : | HTML and PDF |
File type : | |
Downloads: | 17 |
Created: | 2020-08-27 |
License: | CC BY-NC-SA 3.0 |
Download free course Think Data Structures, pdf file on 187 pages by Allen Downey....
Rails on ContainersDownload free course Rails on Containers, pdf file on 316 pages by Kathleen Juell....
Download free Scala tutorialDownload free Scala tutorial course in PDF, training file in 62 chapters and 218 pages. Free unaffiliated ebook created from Stack OverFlow contributor....
The little book about OS developmentDownload free course The little book about OS development, pdf file on 78 pages by Erik Helin, Adam Renberg....
Perl Notes for ProfessionalsDownload free course Perl Notes for Professionals, pdf file on 108 pages by Stack Overflow Community....
Advanced Problems in Mathematics: Preparing for UniversityThis book is intended to help candidates prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Term Examination Paper). STEP is an examination used by Cambridge colleges as the basis for conditional offers. They are also used by Warwick University, and man...
Reinforcement Learning: An Introduction, Second EditionReinforcement Learning (RL), one of the most active research areas in artificial intelligence, is a computational approach to learning whereby an agent tries to maximize the total amount of reward it receives while interacting with a complex, uncertain environment. In Reinforcement Learning, Richard...
Think ComplexityDownload free course Think Complexity, pdf file on 228 pages by Allen Downey....
Migrating Big Data Analytics into the CloudDownload free course Migrating Big Data Analytics into the Cloud, pdf file on 16 pages by Mike Barlow....
Complete guide to Adobe PhotoshopWith this pdf tutorial you will be able to create your own project in Photoshop .You will learn all the basics and create a project from scratch. Free training courses designated for student....