Tomographic reconstruction of 2-convex polyominoes using dual horn clauses

A Frosini, L Vuillon - Theoretical Computer Science, 2019 - Elsevier
Among the very many research interests of Maurice Nivat, a special role, according to the
produced literature, was played by the study of the algorithmic and combinatorial aspects of …

An efficient algorithm for the generation of Z-convex polyominoes

G Castiglione, P Massazza - … , IWCIA 2014, Brno, Czech Republic, May 28 …, 2014 - Springer
LNCS 8466 - An Efficient Algorithm for the Generation of Z-Convex Polyominoes Page 1 An
Efficient Algorithm for the Generation of Z-Convex Polyominoes ⋆ Giusi Castiglione1 and Paolo …

[HTML][HTML] On the exhaustive generation of k-convex polyominoes

S Brocchi, G Castiglione, P Massazza - Theoretical Computer Science, 2017 - Elsevier
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. In …

A genetic approach to the maximum common subgraph problem

C Valenti - Proceedings of the 20th international conference on …, 2019 - dl.acm.org
Finding the maximum common subgraph of a pair of given graphs is a well-known task in
theoretical computer science and with considerable practical applications, for example, in …

[PDF][PDF] On computing the degree of convexity of polyominoes

S Brocchi, G Castiglione, P Massazza - The Electronic Journal of …, 2015 - emis.de
In this paper we present an algorithm which has as input a convex polyomino $ P $ and
computes its degree of convexity, defined as the smallest integer $ k $ such that any two …

Binary pictures with excluded patterns

D Battaglino, A Frosini, V Guerrini, S Rinaldi… - Discrete Geometry for …, 2014 - Springer
The notion of a pattern within a binary picture (polyomino) has been introduced and studied
in [3], and resembles the notion of pattern containment within permutations. The main goal of …

L-Convex Polyominoes Are Recognizable in Real Time by 2D Cellular Automata

A Grandjean, V Poupet - … Automata and Discrete Complex Systems: 21st …, 2015 - Springer
A polyomino is said to be L-convex if any two of its cells are connected by a 4-connected
inner path that changes direction at most once. The 2-dimensional language representing …

[HTML][HTML] Reconstruction of convex polyominoes with a blocking component

S Brocchi, P Dulio, SMC Pagani - Theoretical Computer Science, 2016 - Elsevier
Several papers in the available literature tackled problems concerning convex polyominoes
in discrete tomography. An interesting subclass consists of L-convex polyominoes, since the …