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| Diff Summary | |||||
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| Title | I discussed these ki | A rolling stone is w | |||
| Date | 2014-02-18 14:43:46 | 2014-02-18 15:00:49 | |||
| Editor | Anonymous | Anonymous | |||
| Edit | Edit this version | Edit this version | |||
| Tags | |||||
| 2014-02-18 14:43:46 by Anonymous / Edit this version | 2014-02-18 15:00:49 by Anonymous / Edit this version | ||||
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| t | 1 | I discussed these kinds of Achlioptas pocress vari | t | 1 | A rolling stone is worth two in the bush, thanks t |
| > | ations with Po-Shen Loh back in 2008. According t | > | o this <a href="http://iinjtw.com">arielct.</a> | ||
| > | o my notes, the most natural variation is to pick | ||||
| > | a k-star u.a.r. and get to keep an edge. (I wrote | ||||
| > | , "The advantage of this model is that it is 'clea | ||||
| > | r' what the optimal strategy for avoiding the grow | ||||
| > | th of a giant component ... should be: add the edg | ||||
| > | e that connects to the smallest component.") The | ||||
| > | next variation is to pick a random triangle, and g | ||||
| > | et to keep two of the three edges. The third vari | ||||
| > | ant in my notes, which seems to specialize the fir | ||||
| > | st, is to pick choose one of two edges that share | ||||
| > | one vertex, i.e., a uniformly random path P_2. Th | ||||
| > | is seems to be what you consider. Finally, a last | ||||
| > | variation is to pick some subset of the edges of | ||||
| > | a random graph H. (And there is some sort of quan | ||||
| > | tum version, too.) As far as I could tell, the ar | ||||
| > | guments didn't look sufficiently different from [K | ||||
| > | rivelevich, Loh, Sudakov 07] for any of these alte | ||||
| > | rnatives to be compelling, but I just thought I wo | ||||
| > | uld mention them. | ||||
