On the Number of Nonnegative Sums for Semi-partitions
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DOI: 10.1007/s00373-021-02393-8
Abstract: Let $$[n]=\{1,2,\dots , n\}$$ . Let $$\left( {\begin{array}{c}[n]\\ k\end{array}}\right) $$ be the family of all subsets of [n] of size k. Define a real-valued weight function w on the set $$\left( {\begin{array}{c}[n]\\ k\end{array}}\right) $$ such… read more here.
Keywords: begin array; end array; left begin; array right ... See more keywords
An Improvement of the General Bound on the Largest Family of Subsets Avoiding a Subposet
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DOI: 10.1007/s11083-016-9390-3
Abstract: Let La(n, P) be the maximum size of a family of subsets of [n] = {1, 2, … , n} not containing P as a (weak) subposet, and let h(P) be the length of a… read more here.
Keywords: begin array; left begin; family; right left ... See more keywords