Isomorphism problem for Artin groups beyond known classes

Determine when two Coxeter graphs define isomorphic Artin groups beyond the spherical-type, right-angled, and large-type cases, thereby resolving the remaining instances of the Artin-group isomorphism problem.

Background

The paper describes the classical isomorphism problem as determining when two Coxeter graphs define isomorphic Artin groups. Although the problem has been solved for spherical-type Artin groups, right-angled Artin groups, and large-type Artin groups, the general problem remains unresolved outside these classes.