Timeline for On a generalisation of the EKR theorem
Current License: CC BY-SA 4.0
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| Dec 26, 2023 at 17:05 | comment | added | te4 | The equality constraint has rather an algebraic flavour IMHO. For every $S_i\in C_2$ there is $s_i\in\{0,1\}^n$ such that $s_i\cdot s_j$ is $k$ if $i=j$, and is $t$ otherwise. Take $\lambda\in\mathbb R$ such that $t\lambda^2-2k\lambda+n=0$ (there is one iff $k^2\ge tn$). Then $(\lambda s_i-\mathbf1)_{1\le i\le m}$ form an orthonormal basis of $\mathbb R^m$. Moreover, there are infinitely many examples for $|C_2|=n$. Take neughbour sets of vertices in strongly-regular graph. | |
| Dec 25, 2023 at 21:17 | history | edited | Groups | CC BY-SA 4.0 |
added 131 characters in body
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| Dec 25, 2023 at 21:12 | history | undeleted | Groups | ||
| Dec 25, 2023 at 21:03 | history | deleted | Groups | via Vote | |
| Dec 25, 2023 at 16:00 | history | asked | Groups | CC BY-SA 4.0 |