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The Strathprints institutional repository is a digital archive of University of Strathclyde's Open Access research outputs. Strathprints provides access to thousands of Open Access research papers by University of Strathclyde researchers, including by researchers from the Department of Computer & Information Sciences involved in mathematically structured programming, similarity and metric search, computer security, software systems, combinatronics and digital health.

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On multi-avoidance of right angled numbered polyomino patterns

Kitaev, Sergey (2004) On multi-avoidance of right angled numbered polyomino patterns. Integers: Electronic Journal of Combinatorial Number Theory, 4.

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Abstract

Recently, Kitaev, Mansour and Vella introduced numbered polyomino patterns that generalize the concept of pattern avoidance from permutations and words to numbered polyominoes. We study simultaneous avoidance of two or more right angled numbered polyomino patterns, which are 0-1 labellings of the essentially unique convex two-dimensional polyomino shape with 3 tiles. It turns out that this study gives relations to several combinatorial structures.