Applied Combinatorics by Alan Tucker is a good one. It's short, not hard to follow, a lot of problems to work through, and it's split into two sections: graph theory in section 1, and combinatorics (generating …

In fact,I once tried to define combinatorics in one sentence on Math Overflow this way and was vilified for omitting infinite combinatorics. I personally don't consider this kind of mathematics to be …

5 days ago · For questions about the study of finite or countable discrete structures, especially how to count or enumerate elements in a set (perhaps of all possibilities) or any subset. It includes …

Nov 13, 2023 · So if "combinatorics is a subset of discrete mathematics" should indeed be true: I would like to see a concrete example of a subject being discrete math, but not combinatorics. I was a bit …

Aug 13, 2024 · Suppose we have $5$ stars and $2$ bars. Assume that there can be multiple bars between the consecutive stars. Then, there are $6$ possible spots for the bars, which should mean …

Can anyone recommend a good introductory textbook on analytic combinatorics for self studying? It should be for a first year graduate student.

Combinatorics comes into play in order to parameterize the data and, more generally, because relationships between objects are often described in terms of combinatorics of the data. As a simple …

Of course, it is intended for a deeper study of combinatorics, which often can be heavy and overwhelming. It is great you have studied many other math books, but please take combinatorics …

Jan 30, 2015 · What you have there is the best way to prove that identity that I know of. I'm sure there are other combinatorial interpertations of it, but that is the most natural one. Another way to prove …

Aug 6, 2020 · Can anyone recommend me an olympiad style combinatorics book which is suitable for a high schooler ? I know only some basics like Pigeon hole principle and stars and bars . I hope to find …