Jan 11, 2016 · The essence of a combinatorial proof is to provide a bijection between the elements of a known set and the elements of the set under consideration. A nice …

Combinatorial topology is the older name for algebraic topology when all topological problems were expressed, set up and solved in Euclidean space of dimensions 1,2 and 3.

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 …

Personally, I see "combinatorics" as the "art of counting", which implies that the underlying objects are at least countable (= discrete), but better finite. I find it natural that "graph theory" is filed …

Combinatorial game theory (abbreviated CGT) is the subfield of combinatorics (not traditional game theory) which deals with games of perfect information such as Nim and Go. It includes …

Nov 26, 2024 · I am studying a few combinatorial analogues of Hilbert's Nullstellensatz from the book Structural Additive Theory by David J. Grynkiewicz. The proof of the Punctured …

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 …

Nov 25, 2018 · I'm currently working on a probability course, and I am constantly having trouble figuring out when to use permutations vs. combinations vs. factorials vs. exponents in order to …

Feb 24, 2025 · I am reading the proof of this corollary from "Punctured Combinatorial Nullstellensatz" by Ball and Serra, and there is a crucial step in the proof that I am …

I was looking through practice questions and need some guidance/assistance in Fermat's combinatorial identity. I read through this on the stack exchange, but the question was …