3 papers
physics.chem-ph2026
Elucidating the Size of Chemical Space with Assembly Theory
Juan Carlos Morales Parra, Keith Y Patarroyo, Abhishek Sharma +2
Chemical space is unimaginably vast with common heuristic estimates suggesting that there are ca. 10^60 'drug-like' molecules possible below a molecular mass of 500 Da. However, th…
math.CO2025
Assembly Addition Chains
Leroy Cronin, Juan Carlos Morales Parra, Keith Y. Patarroyo
In this paper we extend the notion of Addition Chains over Z+ to a general set S. We explain how the algebraic structure of Assembly Multi-Magma over the pairs (S,BB proper subset…
cond-mat.mtrl-sci2025
Quantifying the Complexity of Materials with Assembly Theory
Keith Y Patarroyo, Abhishek Sharma, Ian Seet +3
Quantifying the evolution and complexity of materials is of importance in many areas of science and engineering, where a central open challenge is developing experimental complexit…