41 citations · 310 across the 48 of their papers we have counts for
4 papers · 1 filter
The 1-2-3 conjecture for polygonal tilings
Alison Charlesworth, Christopher Ramsey, Nicolae Strungaru
The 1-2-3 conjecture has been solved positively in 2024 for finite graphs and by extension for infinite graphs which are locally finite. The solution is non-constructive, and findi…
Relative position in binary substitutions
Michael Coons, Christopher Ramsey, Nicolae Strungaru
Given an infinite word on a finite alphabet, an immediate question arises:~can we understand the frequency of letters in \,? For words that are the fixed points…
Generating functions of substitutions
Aisling Pouti, Christopher Ramsey, Nicolae Strungaru
In this paper we study substitutions and some of their associated generating functions. This association takes aperiodicity to transcendence, and vice-versa. These generating funct…
Colourings of aperiodic tilings
Molly Evans, Dylan Gawlak, Christopher Ramsey +2
We find explicit optimal vertex, edge and face coulourings for the chair tiling, the Ammann--Beenker tiling, the rational pinwheel tiling and the pinwheel tiling.