Results 51 to 60 of about 2,994 (170)

Tackling Area Coverage Problems in a Reconfigurable Floor Cleaning Robot Based on Polyomino Tiling Theory

open access: yesApplied Sciences, 2018
Whilst Polyomino tiling theory has been extensively studied as a branch of research in mathematics, its application has been largely confined to multimedia, graphics and gaming domains.
Veerajagadheswar Prabakaran   +4 more
doaj   +1 more source

Interactions between Digital Geometry and Combinatorics on Words [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2011
We review some recent results in digital geometry obtained by using a combinatorics on words approach to discrete geometry. Motivated on the one hand by the well-known theory of Sturmian words which model conveniently discrete lines in the plane, and on ...
Srečko Brlek
doaj   +1 more source

Decidability of multiset, set and numerically decipherable directed figure codes [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2017
Codes with various kinds of decipherability, weaker than the usual unique decipherability, have been studied since multiset decipherability was introduced in mid-1980s.
Włodzimierz Moczurad
doaj   +1 more source

Maximal 0-1-fillings of moon polyominoes with restricted chain lengths and rc-graphs [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2011
We show that maximal 0-1-fillings of moon polynomials, with restricted chain lengths, can be identified with certain rc-graphs, also known as pipe dreams.
Martin Rubey
doaj   +1 more source

The site-perimeter of words [PDF]

open access: yesTransactions on Combinatorics, 2017
We define $[k]={1‎, ‎2‎, ‎3,ldots,k}$ to be a (totally ordered) {em alphabet} on $k$ letters‎. ‎A {em word} $w$ of length $n$ on the alphabet $[k]$ is an element of $[k]^n$‎.
Aubrey Blecher   +3 more
doaj   +1 more source

Cloud Versus Void Chord Length Distributions (LvL) as a Measure for Cloud Field Organization

open access: yesGeophysical Research Letters, Volume 51, Issue 11, 16 June 2024.
Abstract Cloud organization impacts the radiative effects and precipitation patterns of the cloud field. Deviating from randomness, clouds exhibit either clustering or a regular grid structure, characterized by the spacing between clouds and the cloud size distribution. The two measures are coupled but do not fully define each other.
Ilan Koren   +3 more
wiley   +1 more source

Polyominoes with nearly convex columns: A model with semidirected blocks [PDF]

open access: yes, 2009
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 directed, the exact solution uses to be elusive.
Feretic, Svjetlan
core   +2 more sources

Minimum area polyomino Venn diagrams

open access: yesJournal of Computational Geometry, 2012
Polyomino Venn (or polyVenn) diagrams are Venn diagrams whose curves are the perimeters of orthogonal polyominoes drawn on the integer lattice. Minimum area polyVenn diagrams are those in which each of the 2n intersection regions, in a diagram of n ...
Bette Bultena   +2 more
doaj   +1 more source

Combinatorics of Labelled Parallelogram polyominoes [PDF]

open access: yes, 2013
We obtain explicit formulas for the enumeration of labelled parallelogram polyominoes. These are the polyominoes that are bounded, above and below, by north-east lattice paths going from the origin to a point (k,n).
Aval, J. C., Bergeron, F., Garsia, A.
core  

Parallelogram Polyominoes and Corners

open access: yesJournal of Symbolic Computation, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Delest, Maylis   +2 more
openaire   +3 more sources

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