5 citations · 15 across the 6 of their papers we have counts for
7 papers
The perimeter generating function for nondirected diagonally convex polyominoes
Svjetlan Feretić
A polyomino is a finite, edge-connected set of cells in the plane. At the present time, an enumeration of all polyominoes is nowhere in sight. On the other hand, there are several…
Stacked directed animals and multi-directed animals defined without using heaps of pieces
Svjetlan Feretić
Stacked directed animals and multi-directed animals are two lattice models defined by Bousquet-Mélou and Rechnitzer in 2002. The original definitions of those models involve heaps…
The area generating function for simple-2-column polyominoes with hexagonal cells
S. Feretic, N. Trinajstic
Column-convex polygons were first counted by area several decades ago, and the result was found to be a simple, rational, generating function. In this chapter we generalize that re…
The area generating function for simplex-duplex polyominoes
Svjetlan Feretic
Back in the early days of polyomino enumeration, a model called column-convex polyominoes was introduced and its area generating function was found. That generating function is rat…
Polyominoes with nearly convex columns: An undirected model
Svjetlan Feretic, Anthony J. Guttmann
Column-convex polyominoes were introduced in 1950's by Temperley, a mathematical physicist working on "lattice gases". By now, column-convex polyominoes are a popular and well-unde…
Polyominoes with nearly convex columns: A model with semidirected blocks
Svjetlan Feretic
In most of today's exactly solved classes of polyominoes, either all members are convex (in some way), or all members are directed, or both. If the class is neither convex nor dire…