Enumerating some symmetry classes of rhombus tilings of holey hexagons

Abstract

This extended abstract presents some recent (exact and asymptotic) enumerative results concerning rhombustilings of hexagons that have had symmetrically distributed inward pointing triangles of side length 2 removedfrom their interiors. These results form part of a larger article that is currently available online (arXiv:1501.05772).

Keywords

• enumeration.
• rhombus tilings
• holey hexagons
• non-intersecting paths
• [info.info-dm] computer science [cs]/discrete mathematics [cs.dm]