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- W2284474100 abstract "Knot mosaics are used to model physical quantum states. The mosaic number of a knot is the smallest integer $m$ such that the knot can be represented as a knot $m$-mosaic. In this paper we establish an upper bound for the crossing number of a knot in terms of the mosaic number. Given an $m$-mosaic and any knot $K$ that is represented on the mosaic, its crossing number $c$ is bounded above by $(m - 2)^{2} - 2$ if $m$ is odd, and $(m - 2)^{2} - (m - 3)$ if $m$ is even." @default.
- W2284474100 created "2016-06-24" @default.
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- W2284474100 date "2014-05-29" @default.
- W2284474100 modified "2023-09-27" @default.
- W2284474100 title "Crossing Number Bound in Knot Mosaics" @default.
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- W2284474100 hasPublicationYear "2014" @default.
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