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 …

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 …

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 …

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 …

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 …

I understand how combinations and permutations work (without replacement). I also see why a permutation of n n elements ordered k k at a time (with replacement) is equal to nk n k. Through …

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 …

Jul 23, 2019 · When we are trying to prove a statement using the bijective principle, it is clear that the goal is show that two sets are equivalent in cardinality. The following proof of example 1.5.3 starts wit...

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 …