Timeline for Minimize the length of intersection of the set of intervals
Current License: CC BY-SA 3.0
5 events
when toggle format | what | by | license | comment | |
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Jan 29, 2014 at 7:36 | comment | added | Andrew Ryzhikov | Example: for three intervals $[0, 3]$, $[1, 4]$, $[2, 5]$ and $k = 2$ we need to colour first and third interval in first colour and second interval in second colour, so the measure of the set of points, which are contained in two or more intervals coloured with the same colour, is $1$. | |
Jan 29, 2014 at 7:19 | comment | added | Andrew Ryzhikov | so what? Measure of a point is zero. If $S$ is a finite set, the optimization problem is bounded. | |
Jan 29, 2014 at 2:28 | comment | added | Alexandre Eremenko | Still the problem does not make much sense to me: what if all your intervals contain a common point? | |
Jan 28, 2014 at 15:15 | comment | added | Andrew Ryzhikov | I am interested in this problem for finite set $S$, I have added it explicitly to the post. | |
Jan 28, 2014 at 14:32 | history | answered | Alexandre Eremenko | CC BY-SA 3.0 |