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 Publish in OALib Journal ISSN: 2333-9721 APC: Only $99  Views Downloads  Relative Articles The number of directed k-convex polyominoes The Configuration Model for Partially Directed Graphs Partially directed paths in a wedge Six bijections between deco polyominoes and permutations L-Convex Polyominoes: Geometrical Aspects Relative directed homotopy theory of partially ordered spaces Relative directed homotopy theory of partially ordered spaces A revised Moore bound for partially directed graphs Polyominoes with nearly convex columns: An undirected model Forces and pressures in adsorbing partially directed walks More... Mathematics 2013 # Partially Directed Snake Polyominoes  Full-Text Cite this paper Abstract: The goal of this paper is to study the family of snake polyominoes. More precisely, we focus our attention on the class of partially directed snakes. We establish functional equations and length generating functions of two dimensional, three dimensional and then$N$dimensional partially directed snake polyominoes. We then turn our attention to partially directed snakes inscribed in a$b\times k$rectangle and we establish two-variable generating functions, with respect to height$k$and length$n\$ of the snakes. We include observations on the relationship between snake polyominoes and self-avoiding walks. We conclude with a discussion on inscribed snakes polyominoes of maximal length which lead us to the formulation of a conjecture encountered in the course of our investigations.

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