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arxiv: 1308.4186 · v1 · pith:NNTTJK77new · submitted 2013-08-19 · 💻 cs.CG

A 2-chain can interlock with an open 10-chain

classification 💻 cs.CG
keywords chainopenciteinterlockingflexibleinterlockachievesarguments
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It is an open problem, posed in \cite{SoCG}, to determine the minimal $k$ such that an open flexible $k$-chain can interlock with a flexible 2-chain. It was first established in \cite{GLOSZ} that there is an open 16-chain in a trapezoid frame that achieves interlocking. This was subsequently improved in \cite{GLOZ} to establish interlocking between a 2-chain and an open 11-chain. Here we improve that result once more, establishing interlocking between a 2-chain and a 10-chain. We present arguments that indicate that 10 is likely the minimum.

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