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 …

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 questions on …

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 …

Jun 28, 2017 · This is the Binomial theorem: $$ (a+b)^n=\sum_ {k=0}^n {n\choose k}a^ {n-k}b^k.$$ I do not understand the symbol $ {n\choose k}.$ How do I actually compute this? What does this notation …

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.

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 …

Apr 12, 2024 · Could anyone recommend comprehensive books or resources on combinatorics that are particularly suited for computer science students? Ideally, these resources would cover both …

Mar 12, 2023 · Currently, I am an undergraduate student. I have been told that "Combinatorial Problems and Exercises by László Lovász" is a book one must master before one may consider oneself to be a …