## Enumerating permutation graphs

25 October 2020This blog post quickly compares three different ways of enumerating the permutation graphs on \(n\) vertices. By using a canonical deletion approach, we can extend OEIS A123448 from \(n = 11\) to \(n = 14\).

## Enumerating circle graphs

04 October 2020There are 22576188846 unlabelled circle graphs on 13 vertices but how do we know that? This blog post looks at a few different ways of generating small circle graphs from the simplest ways up to a canonical deletion method.

## The longest title on arXiv

16 July 2020A discussion about a potential title with my coauthors led to a question: What is the longest title for a maths paper?

## DIY Wallet

04 July 2020After my old wallet began to wear at the edges, I decided to making a replacement despite having no experience. Read on to find out how the wallet turned out and to learn from some of my mistakes.

## Induced Saturation For Paths

22 May 2020A graph \(G\) is said to be *induced saturated for \(H\)* if \(G\) contains no induced copy of \(H\), but adding or removing any edge creates an induced copy. We give some graphs which are induced saturated for \(P_5\).

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