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- W3037574920 abstract "The goal of this paper is to study the set of snake polyominoes which can beseen as a thick version of self-avoiding walks. We first introduce aclassification of snake polyominoes and then we focus our attention on theclass of partially directed snakes. We establish functional equations andgenerating functions for length generating functions of two dimensional, threedimensional and then N dimensional snake polyominoes. We then turn ourattention to snake polyominoes inscribed in a bxk rectangle and we establishtwo-variable generating functions, with respect to height k and length n of thesnakes. We include observations on the relationship between snake polyominoesand self-avoiding walks, we show some bijective relations between polyominoesinscribed in a 2xk rectangle, snakes and self-avoiding walks. We conclude witha discussion on inscribed snakes of maximal length which lead us to theformulation of open problems and conjectures encountered in the course of ourinvestigations." @default.
- W3037574920 created "2020-07-02" @default.
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- W3037574920 date "2013-07-31" @default.
- W3037574920 modified "2023-09-27" @default.
- W3037574920 title "Snake Polyominoes" @default.
- W3037574920 hasPublicationYear "2013" @default.
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