Timeline for Has this kind of design been studied before?
Current License: CC BY-SA 3.0
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| when toggle format | what | by | license | comment | |
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| Jun 15, 2017 at 3:07 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| May 16, 2017 at 2:33 | answer | added | Padraig Ó Catháin | timeline score: 1 | |
| May 12, 2017 at 21:46 | comment | added | smart cat | Thank you all. I realized the design I am interested in has been studied in a more general setting named intersecting families in extremal set theory. | |
| May 11, 2017 at 23:25 | history | edited | smart cat | CC BY-SA 3.0 |
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| May 11, 2017 at 22:50 | comment | added | Gerhard Paseman | He does ask about a maximality, so this may imply some degree of regularity. Projective Plane perhaps? Gerhard "I'm Thinking Of Overlapping Sunflowers" Paseman, 2017.05.11. | |
| May 11, 2017 at 22:43 | comment | added | Gordon Royle | Your design does not seem to have any "balance" condition such as each pair of points lies in a constant number of blocks. So this moves you out of design theory in the direction of intersecting set systems and Erdos-Ko-Rado style results. For example if your constant intersection size is 1, then take all k-sets on a fixed point as the blocks. | |
| May 11, 2017 at 21:45 | comment | added | Gerhard Paseman | Sunflowers are another example. Your optimal example is likely a union of isomorphic sunflowers. I do not know if they have been studied other than in the context of delta systems in infinitary combinatorics. Kunen's book Set Theory has info on the infinite version. Gerhard "Maybe That Is Too Big" Paseman, 2017.05.11. | |
| May 11, 2017 at 21:34 | history | asked | smart cat | CC BY-SA 3.0 |