Results 131 to 140 of about 920 (172)
Polyominoes on the infinite checkerboard
Murray S. Klamkin +1 more
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Parity Property of Hexagonal Sliding Puzzles. [PDF]
Estévez M, Karpman R, Roldán É.
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Ordering and Convex Polyominoes
We introduce a partial order on pictures (matrices), denoted by ≼ that extends to two dimensions the subword ordering on words. We investigate properties of special families of discrete sets (corresponding to {0,1}-matrices) with respect to this partial order.
CASTIGLIONE, Giuseppa, RESTIVO, Antonio
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Enumeration of 4-stack polyominoes
In this paper, we consider the class of 4-stack polyominoes, i.e. polyominoes which can be decomposed into a central rectangle supporting four stack polyominoes, one on each side of the rectangle. This class of objects - recently introduced by Marc Noy -
J M Fedou, A Frosini
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Hilbert series of parallelogram polyominoes
We present a conjecture about the reduced Hilbert series of the coordinate ring of a simple polyomino in terms of particular arrangements of non-attacking rooks that can be placed on the polyomino.
Ayesha Asloob Qureshi +1 more
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2021 Data Compression Conference (DCC), 2021
We provide a compact representation of polyominoes with n cells that supports navigation and visibility queries in constant time. Our oracle takes 3n +o(n) bits. Previous enumeration efforts indicate that at least 2.00091 n -o(n) bits (likely 2.021 n -o(n) bits) are required to distinguish polyominoes, hence confirming that our oracle is compact.
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We provide a compact representation of polyominoes with n cells that supports navigation and visibility queries in constant time. Our oracle takes 3n +o(n) bits. Previous enumeration efforts indicate that at least 2.00091 n -o(n) bits (likely 2.021 n -o(n) bits) are required to distinguish polyominoes, hence confirming that our oracle is compact.
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Proceedings of the twenty-seventh annual symposium on Computational geometry, 2011
We explore the art gallery problem for the special case that the domain (gallery) P is an m-polyomino, a polyform whose cells are m unit squares. We study the combinatorics of guarding polyominoes in terms of the parameter m, in contrast with the traditional parameter n, the number of vertices of P; in particular, we show that floor((m+1)/3) point ...
Therese Biedl +4 more
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We explore the art gallery problem for the special case that the domain (gallery) P is an m-polyomino, a polyform whose cells are m unit squares. We study the combinatorics of guarding polyominoes in terms of the parameter m, in contrast with the traditional parameter n, the number of vertices of P; in particular, we show that floor((m+1)/3) point ...
Therese Biedl +4 more
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Code for polyomino and computer search of isospectral polyominoes
Journal of Combinatorial Optimization, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiaodong Liang, Rui Wang, Jixiang Meng
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