Mathematics, Department of
Department of Mathematics: Faculty Publications
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Document Type
Article
Date of this Version
3-29-2018
Citation
2018 Society for Industrial and Applied Mathematics
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.
Comments
SIAM J. DISCRETE MATH. Vol. 32, No. 1, pp. 783{814