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2017•IOSR Journal of MathematicsOpen access

Enumeration Class of Polyominoes Defined by Two Column

Eman F. Mohommed, Haslinda Ibrahim, Nazihah Ahmad

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Abstract

Abacus diagram is a graphical representation for any partition µ of a positive integer t.This study presents the bead positions as a unite square in the graph and de ne a special type of e-abacus called nested chain abacus 𝔑 which is represented by the connected partition.Furthermore, we redefined the polyominoes as a special type of e-abacus diagram.Also, this study reveals new method of enumerating polyominoes special design when e=2.

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Abacus diagram is a graphical representation for any partition µ of a positive integer t.This study presents the bead positions as a unite square in the graph and de ne a special type of e-abacus called nested chain abacus 𝔑 which is represented by the connected partition.Furthermore, we redefined the polyominoes as a special type of e-abacus diagram.Also, this study reveals new method of enumerating polyominoes special design when e=2.

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Available abstract

Abacus diagram is a graphical representation for any partition µ of a positive integer t.This study presents the bead positions as a unite square in the graph and de ne a special type of e-abacus called nested chain abacus 𝔑 which is represented by the connected partition.Furthermore, we redefined the polyominoes as a special type of e-abacus diagram.Also, this study reveals new method of enumerating polyominoes special design when e=2.

Key concepts: Enumeration, Mathematics, Polyomino, Class (philosophy), Column (typography), Combinatorics, Discrete mathematics, Geometry

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