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An algorithm for deciding if a polyomino tiles the plane

Ian Gambini, Laurent Vuillon (2007)

RAIRO - Theoretical Informatics and Applications

For polyominoes coded by their boundary word, we describe a quadratic O(n2) algorithm in the boundary length n which improves the naive O(n4) algorithm. Techniques used emanate from algorithmics, discrete geometry and combinatorics on words.

An Algorithmic Approach to Inferring Cross-Ontology Links while Mapping Anatomical Ontologies

Petrov, Peter, Krachounov, Milko, van Ophuizen, Ernest, Vassilev, Dimitar (2012)

Serdica Journal of Computing

ACM Computing Classification System (1998): J.3.Automated and semi-automated mapping and the subsequently merging of two (or more) anatomical ontologies can be achieved by (at least) two direct procedures. The first concerns syntactic matching between the terms of the two ontologies; in this paper, we call this direct matching (DM). It relies on identities between the terms of the two input ontologies in order to establish cross-ontology links between them. The second involves consulting one or...

An analysis of selection sort using recurrence relations.

Francesc J. Ferri, Jesús Albert (1996)

Qüestiió

This paper presents a method for obtaining the expected number of data movements executed by the well-known Selection sort algorithm along with its corresponding variance. The approach presented here requires hardly any specific mathematical background. In particular, the average-case cost and variance are represented using recurrence relations whose solutions lead to the desired results. Even though this method is not applicable in general, it serves to conveniently present average-case algorithm...

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