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math.CO2017
Enumeration of lozenge tilings of a hexagon with a shamrock missing on the symmetry axis
Tri Lai, Ranjan Rohatgi
In their paper about a dual of MacMahon's classical theorem on plane partitions, Ciucu and Krattenthaler proved a closed form product formula for the tiling number of a hexagon wit…
math.CO2017
Characterization and enumeration of 3-regular permutation graphs
Aysel Erey, Zachary Gershkoff, Amanda Lohss +1
A permutation graph is a graph that can be derived from a permutation, where the vertices correspond to letters of the permutation, and the edges represent inversions. We provide a…
math.CO2017
Cyclically Symmetric Lozenge Tilings of a Hexagon with Four Holes
Tri Lai, Ranjan Rohatgi
The work of Mills, Robbins, and Rumsey on cyclically symmetric plane partitions yields a simple product formula for the number of lozenge tilings of a regular hexagon, which are in…