Tag: combinatorics

  • Hilbert's Hotel, but the Guests are Mere Mortals


    We will consider a variation of Hilbert’s hotel, within which guests may not be relocated too far from their current room.

  • An Upper Bound on Ramsey Numbers (Revision Season)


    I will present a short argument on an upper bound for \( r(s) \), the Ramsey Number associated with the natural number \(s\).

  • Counting Derangements


    I present an inefficient yet novel way of recursively counting derangements of a set, and generalise this to counting permutations without short cycles.