1 citations · 1 across the 7 of their papers we have counts for
7 papers
Maximum arrangements of nonattacking kings on the chessboard
Tricia Muldoon Brown
To count the number of maximum independent arrangements of kings on a chessboard, we build a matrix whose entries are independent arrangement…
The Problem of Pawns
Tricia Muldoon Brown
Using a bijective proof, we show the number of ways to arrange a maximum number of nonattacking pawns on a chessboard is , and more generally, the nu…
On the unimodality of convolutions of sequences of binomial coefficients
Tricia Muldoon Brown
We provide necessary and sufficient conditions on the unimodality of a convolution of two sequences of binomial coefficients preceded by a finite number of ones. These convolution…
Minimal Free Resolutions of Domino Tilings
Rachelle R. Bouchat, Tricia Muldoon Brown
We introduce a squarefree monomial ideal associated to the set of domino tilings of a rectangle and proceed to study the associated minimal free resolution. In this pap…
Convex domino towers
Tricia Muldoon Brown
We study convex domino towers using a classic dissection technique on polyominoes to find the generating function and an asymptotic approximation.
On the enumeration of k-omino towers
Tricia Muldoon Brown
We describe a class of fixed polyominoes called -omino towers that are created by stacking rectangular blocks of size on a convex base composed of these same -omi…