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Timeline for Regularization of arbitrary graphs

Current License: CC BY-SA 4.0

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May 22, 2019 at 10:05 review Close votes
May 27, 2019 at 18:33
May 22, 2019 at 7:53 comment added fedja @FedorPetrov Indeed, you are right. The correction is trivial (add some edges sticking out to saturate the existing vertices and consider the new graph), but then it basically becomes your construction.
May 22, 2019 at 7:36 comment added Fedor Petrov @fedja well, but the complement should avoid existed edges, right?
May 22, 2019 at 7:31 comment added fedja @FedorPetrov $d_j$ are $\Delta$ minus the existing degrees, i.e., I'm looking for the complement. I thought that was clear enough :-)
May 22, 2019 at 7:29 comment added Fedor Petrov @fedja not quite just graphic sequence, we should save the existed edges
May 22, 2019 at 7:28 vote accept Dominic van der Zypen
May 22, 2019 at 7:27 answer added Fedor Petrov timeline score: 4
May 22, 2019 at 7:23 comment added fedja In other words, if $\Delta\ge d_1\ge d_2\ge\dots d_n\ge 0$, then $\Delta,\dots \Delta, d_1\dots d_n$ is a graphic sequence for some number of repetitions of $\Delta$. Looks obvious, doesn't it?
May 22, 2019 at 6:37 history asked Dominic van der Zypen CC BY-SA 4.0