LOZENGE TILINGS OF A HALVED HEXAGON WITH AN ARRAY OF TRIANGLES REMOVED FROM THE BOUNDARY

Authors

Tri Lai, University of Nebraska - LincolnFollow

Date of this Version

3-29-2018

Citation

2018 Society for Industrial and Applied Mathematics

Comments

SIAM J. DISCRETE MATH. Vol. 32, No. 1, pp. 783{814

Abstract

Proctor's work on staircase plane partitions yields an enumeration of lozenge tilings of a halved hexagon on the triangular lattice. Rohatgi recently extended this tiling enumeration to a halved hexagon with a triangle removed from the boundary. In this paper, we prove a generalization of the results of Proctor and Rohatgi by enumerating lozenge tilings of a halved hexagon in which an array of an arbitrary number of adjacent triangles has been removed from the boundary.