Testing $k$-Monotonicity

1 Sep 2016Clément L. CanonneElena GrigorescuSiyao GuoAkash KumarKarl Wimmer

A Boolean $k$-monotone function defined over a finite poset domain ${\cal D}$ alternates between the values $0$ and $1$ at most $k$ times on any ascending chain in ${\cal D}$. Therefore, $k$-monotone functions are natural generalizations of the classical monotone functions, which are the $1$-monotone functions... (read more)

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