Concept
Enumerative combinatorics
Publications associées (21)
Non-planarity of Markoff graphs mod p
We prove the non-planarity of a family of 3-regular graphs constructed from the solutions to the Markoff equation x2 + y2 + z2 = xyz modulo prime numbers greater than 7. The proof uses Euler characteristic and an enumeration of the short cycles in these gr ...
Berlin2024Enriching the Computational Toolbox for Organocatalysis
Organocatalysis has evolved significantly over the last decades, becoming a pillar of synthetic chemistry, but traditional theoretical approaches based on quantum mechanical computations to investigate reaction mechanisms and provide rationalizations of ca ...
EPFL2023Synthesis and direct assay of large macrocycle diversities by combinatorial late-stage modification at picomole scale
Christian Heinis, Gerardo Turcatti, Julien Bortoli Chapalay, Alessandro Angelini, Manuel Leonardo Merz, Sevan Mleh Habeshian, Jonathan Patrice Vesin, Mischa Schüttel, Ganesh Kumar Mothukuri, Gontran Sangouard, Cristina Diaz Perlas, Zsolt Bognár
Macrocycles have excellent potential as therapeutics due to their ability to bind challenging targets. However, generating macrocycles against new targets is hindered by a lack of large macrocycle libraries for high-throughput screening. To overcome this, ...
2022