Concept
Enumerative combinatorics
Related publications (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 ...
Berlin2024Synthesis 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, ...
2022Computation of Al-Salam Carlitz and Askey-Wilson moments using Motzkin paths
In this paper we study the moments of polynomials from the Askey scheme, and we focus on Askey-Wilson polynomials. More precisely, we give a combinatorial proof for the case where d = 0. Their values have already been computed by Kim and Stanton in 2015, h ...
ELECTRONIC JOURNAL OF COMBINATORICS2021