On a property of the $n$-dimensional cube

Computer Science – Discrete Mathematics

Scientific paper

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2 pages, no figures

Scientific paper

We show that in any subset of the vertices of $n$-dimensional cube that
contains at least $2^{n-1}+1$ vertices ($n\geq 4$), there are four vertices
that induce a claw, or there are eight vertices that induce the cycle of length
eight.

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