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4
votes
1
answer
187
views
"JigSaw Puzzle" on Set Family II
I was asked to post a different question following a wording error on my previous question, so here it is.
Given a set family $\mathcal{F}$ of $[n]$ (with certain additional properties), such that ev …
0
votes
1
answer
157
views
"JigSaw Puzzle" on Set Family
One of my research problem can be reduced to a question of the following form
Given a set family $\mathcal{F}$ of $[n]$ , such that every element of $[n]$ lies in exactly $K$ sets in $\mathcal{F}$, c …
4
votes
0
answers
70
views
A question about the existence of surjective contractions
A few years ago I was doing some research in origami, and was motivated to as the following questions:
Consider $\mathbb{R}^2$ with the Euclidean metric and Lebesgue measure. Does there exist a const …