Timeline for The edge precoloring extension problem for complete graphs
Current License: CC BY-SA 4.0
17 events
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Jul 25, 2020 at 11:21 | comment | added | Moritz Firsching | I updated my question to show non-uniqueness for the case $n=10$, using the clarified definition of the precoloring, I hope I understood correctly now. | |
Jul 25, 2020 at 11:06 | comment | added | Moritz Firsching | ok, so in the example above, $1-2-3-7$ is not the coloring you are looking for? Maybe it would be more clear to remove the sentence "It could also have been $1-2-3-7$? | |
Jul 25, 2020 at 9:14 | comment | added | vidyarthi | @MoritzFirsching I meant that yes, my preference is for the lexicographically smallest order, but, if there are clashes, the the color would be the nearest to that. Suppose, in the coloring I give, I took the string $1-2-3-6$ and not $1-2-3-4$, which was not possible on account of $4$ color in the previous row | |
Jul 24, 2020 at 18:28 | comment | added | Moritz Firsching | I'm unable to grasp the precise definition from "yes, sort of" | |
Jul 24, 2020 at 14:12 | comment | added | vidyarthi | @MoritzFirsching yes, sort of | |
Jul 24, 2020 at 13:05 | comment | added | Moritz Firsching | What pattern exactly for the k-th subdiagonal? Any valid completion for the k-th row? One that starts with 1-2-3-...-k-1? They lexicographically smallest completion? | |
Jul 24, 2020 at 12:28 | comment | added | vidyarthi | @MoritzFirsching edited the post. See now for the pattern I follow | |
Jul 24, 2020 at 12:27 | history | edited | vidyarthi | CC BY-SA 4.0 |
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Jul 24, 2020 at 12:07 | comment | added | Moritz Firsching | At this point, it is still unclear to me, what "follow the same pattern" is. It might help if you clarify what exactly is the precouloring that you are interested in. | |
Jul 24, 2020 at 10:47 | answer | added | Florian Lehner | timeline score: 1 | |
Jul 24, 2020 at 9:53 | comment | added | vidyarthi | @FlorianLehner edited the post, thanks | |
Jul 24, 2020 at 9:53 | history | edited | vidyarthi | CC BY-SA 4.0 |
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Jul 24, 2020 at 9:34 | answer | added | Moritz Firsching | timeline score: 1 | |
Jul 24, 2020 at 8:48 | comment | added | Florian Lehner | I don't quite understand your description of the pre-coloring. Are there any restrictions on how you colour? For general $n$, shouldn't it be the last $n/2$ subdiagonals?Transversal also has a concise meaning in latin squares, but I don't think this is what you mean by transversal. | |
Jul 24, 2020 at 6:41 | history | edited | vidyarthi | CC BY-SA 4.0 |
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Jul 22, 2020 at 20:55 | history | edited | vidyarthi | CC BY-SA 4.0 |
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Jul 22, 2020 at 20:13 | history | asked | vidyarthi | CC BY-SA 4.0 |