Tag: combinatorics

Hilbert's hotel, but the guests are mere mortals
First published July 26, 2020
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)
First published May 02, 2019
I will present a short argument on an upper bound for \( r(s) \), the Ramsey Number associated with the natural number \(s\).

Counting derangements
First published April 21, 2019
I present an inefficient yet novel way of recursively counting derangements of a set, and generalise this to counting permutations without short cycles.
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