Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
On counting Z-convex polyominoes
View through CrossRef
Abstract
We show a decomposition that allows to compute the number of convex polyominoes of area
n
and degree of convexity at most 2 (the so-called Z-convex polyominoes) in polynomial time.
Title: On counting Z-convex polyominoes
Description:
Abstract
We show a decomposition that allows to compute the number of convex polyominoes of area
n
and degree of convexity at most 2 (the so-called Z-convex polyominoes) in polynomial time.
Related Results
On the number of isohedral polyominoes
On the number of isohedral polyominoes
A polyomino is a connected figure on a plane composed from a finite number of unit squares adjacent to each other on the sides. A tiling of a plane into polyominoes is called isohe...
Ostrowski-Type Fractional Integral Inequalities: A Survey
Ostrowski-Type Fractional Integral Inequalities: A Survey
This paper presents an extensive review of some recent results on fractional Ostrowski-type inequalities associated with a variety of convexities and different kinds of fractional ...
Asymptotics of Z-convex polyominoes
Asymptotics of Z-convex polyominoes
The degree of convexity of a convex polyomino P is the smallest integer k such that any two cells of P can be joined by a monotone path inside P with at most k changes of direction...
2L convex polyominoes: discrete tomographical aspects
2L convex polyominoes: discrete tomographical aspects
This paper uses the theoretical material developed in a previous article by the authors in order to reconstruct a subclass of 2L-convex polyominoes. The main idea is to control the...
Enumeration of minimal 3D polyominoes inscribed in a rectangular prism
Enumeration of minimal 3D polyominoes inscribed in a rectangular prism
We consider the family of 3D minimal polyominoes inscribed in a rectanglar prism. These objects are polyominos and so they are connected sets of unitary cubic cells inscribed in a ...
Increasing familiarity with the heartbeat counting task does not affect performance
Increasing familiarity with the heartbeat counting task does not affect performance
Background: Interoception is typically defined as the processing and perception of internal signals. A common evaluation of interoceptive abilities is via the perception of heartbe...
Convex hull peeling
Convex hull peeling
Enveloppes convexes pelées
Cette thèse porte sur la construction du convex hull peeling (qu’on pourrait traduire littéralement par enveloppe convexe pelée). Le conv...
Decomposable Convexities in Graphs and Hypergraphs
Decomposable Convexities in Graphs and Hypergraphs
Given a connected hypergraph with vertex set V, a convexity space on is a subset
of the powerset of V that contains ∅, V, and the singletons; furthermore, is closed under inter...