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 characterization is given by R.P. …

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 …

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 …

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.

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 under …

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 topics such as …

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 modified in the latest edition …

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 calculate …

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 struggling to …

Many times I've heard people speaking about combinatorial homotopy theory, but every reference apparently related seems to deal with general concepts of algebraic topology like CW-complexes, …