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A Graph Representation for Two-Dimensional Finite Type Constrained Systems

2016/02/01 by Takahiro Ota, Ota, Takahiro, Akiko Manada +3
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · #Algorithms and Data Compression #Cellular Automata and Applications #DNA and Biological Computing #FOS: Computer and information sciences #Information Theory (cs.IT) #cs.IT #math.IT

paper · pdf · doi:10.48550/arxiv.1602.00446

5 pages

openalex publication_date 2016/02/01 · arxiv created 2016/02/02 · arxiv updated 2016/02/03 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The demand of two-dimensional source coding and constrained coding has been getting higher these days, but compared to the one-dimensional case, many problems have remained open as the analysis is cumbersome. A main reason for that would be because there are no graph representations discovered so far. In this paper, we focus on a two-dimensional finite type constrained system, a set of two-dimensional blocks characterized by a finite number of two-dimensional constraints, and propose its graph representation. We then show how to generate an element of the two-dimensional finite type constrained system from the graph representation.

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