From the 1 of 5 linked papers with an AI index.
5 papers
Tredoku Patterns
Simon R. Blackburn
The paper reconstructs Donald A. Preece's work on tredoku patterns—diamond‑shaped tile configurations inspired by newspaper puzzles—and proves the conjectures he proposed.
On de Bruijn Array Codes Part II: Linear Codes
Simon Blackburn, Yeow Meng Chee, Tuvi Etzion +1
An M-sequence generated by a primitive polynomial has many interesting and desirable properties. A pseudo-random array is the two-dimensional generalization of an M-sequence. There…
Large Scale Raman Spectrum Calculations in Defective 2D Materials using Deep Learning
Olivier Malenfant-Thuot, Dounia Shaaban Kabakibo, Simon Blackburn +2
We introduce a machine learning prediction workflow to study the impact of defects on the Raman response of 2D materials. By combining the use of machine-learned interatomic potent…
An upper bound on the per-tile entropy of ribbon tilings
Simon Blackburn, Yinsong Chen, Vladislav Kargin
This paper considers -ribbon tilings of general regions and their per-tile entropy (the binary logarithm of the number of tilings divided by the number of tiles). We show that t…
Exponent-Critical Groups
Simon R. Blackburn, William Cocke, Andrew Misseldine +1
We define and investigate the property of being `exponent-critical' for a finite group. A finite group is said to be exponent-critical if its exponent is not the least common multi…