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 …

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 …

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 …

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 …

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 …

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 …

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 …

Jan 30, 2015 · I know you can use basic algebra or even an inductive proof to prove this identity, but that seems really cumbersome. I was wondering if anyone had a "cleaner" or more elegant way of …

Combinatorics: How many possible paths? Ask Question Asked 7 years, 7 months ago Modified 9 months ago