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 …

High school combinatorics question about counting objects of different colors; mark scheme shows a concise and mysterious solution Below is a combinatorics question from an A-level mathematics exam.

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 …

Feb 20, 2021 · A Combinatorics Question Choosing Paths on a Grid Ask Question Asked 4 years, 10 months ago Modified 4 years, 10 months ago

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

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 …

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 …