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2-Convex Polyominoes: Non-Empty Corners
Department of Mathematics, Lebanese University, Beirut, Lebanon
Faculty of Economics and Business Administration, Lebanese University, Beirut, Lebanon
Mechanical Engineering Department, American University of Beirut, Beirut, Lebanon
- 1 Department of Mathematics, Lebanese University, Beirut, Lebanon
- 2 Faculty of Economics and Business Administration, Lebanese University, Beirut, Lebanon
- 3 Mechanical Engineering Department, American University of Beirut, Beirut, Lebanon
Open Journal of Discrete Mathematics·Volume 09 (2019)·Pages 33–51·Published 7 March 2019·DOI10.4236/ojdm.2019.92005
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Abstract
A polyomino P is called 2-convex if for every two cells there exists a monotone path included in P with at most two changes of direction. This paper studies the geometrical properties of a sub-class of 2-convex polyominoes called where the upper left corner and the lower right corner of the polyomino each contain s only one cell.
KeywordsPolyominoConvex ObjectsMonotone Path
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