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Results tagged with bijective-combinatorics
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user 37708
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Matching in the Boolean Algebra
We consider the Boolean Algebra of the set $[n]=\{1,\dots,n\}$ and the matching $\psi$ from the $m+1$ subsets of $[n]$ into the $m$ subsets of $[n]$ for $(n+1)/2\leq m+1\leq n$, which is used to show …
- 243
2
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Matching in the Boolean Algebra
One can understand the image of $\psi$ or $\psi|_M$ in terms of the inverse map $\phi$.
$\phi$ maps an $m$ set to an $(m+1)$ set (if possible) in the following way. If $$A=\{i_1,\dots,i_m\}$$ is our …
- 243