Timeline for Unique representation and sumsets
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 19, 2020 at 6:40 | comment | added | Seva | Still, there is an interesting property which seems to follow this way: namely, the unique representation graph is triangle-free. Incidentally, in your example the URG is a star. | |
| Apr 19, 2020 at 0:16 | comment | added | George Shakan | hmm, seems you are right | |
| Apr 18, 2020 at 19:31 | comment | added | Seva | Upon a second look, I am still a little uncertain. Applying Bonferroni, you seem to assume that $A,A+g$ and $A+f$ are subsets of $2A$ - which, in general, is not the case. It is my understanding that in fact, you find $f$ and $g$ so as to have $f=a-c$ and $g=b-c$ with some $a,b,c\in A$, and then consider $(A+a)\cup(A+b)\cup(A+c)$. However, in this case it is not true that $r(g-h)$ is large for any $f$ and $g$ (but only for $f$ and $g$ which can be represented as above). Could you explain? | |
| Apr 17, 2020 at 18:39 | history | edited | George Shakan | CC BY-SA 4.0 |
Changed the link
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| Apr 17, 2020 at 17:57 | comment | added | Seva | Great, thank you! (And please, fix the reference...) | |
| Apr 17, 2020 at 17:56 | vote | accept | Seva | ||
| Apr 17, 2020 at 15:45 | history | answered | George Shakan | CC BY-SA 4.0 |