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 …

Nov 5, 2025 · 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 …

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 …

Dec 19, 2023 · Combinatorial classes are for unlabeled objects, while combinatorial species are for labeled objects. The two methods are not analogous. You say that "classes" are associated …

Sep 25, 2024 · Doing some exercise, where one has to proof some identity by using combinatorial arguments,I noticed that it would be useful to get combinatorial "interpretations" for …

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 …

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.

@Srivatsan: By stars-and-bars, $\binom {2n+2} {3}$ is the number of ways to write $2n-1$ as a sum of four nonnegative integers, if the order of the terms matter. The transitive closure of the …

May 23, 2012 · Just FYI, what you call a "logical proof" is known as a "combinatorial proof", and such a proof is perfectly valid and often very insightful. What I suspect you mean by …

Sep 21, 2021 · Combinatorial Invariant Problem Solving Question Ask Question Asked 4 years, 2 months ago Modified 4 years, 2 months ago