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Apr 11, 2019 at 6:34 comment added Ilya Bogdanov Right! I've added a picture.
Apr 11, 2019 at 6:33 history edited Ilya Bogdanov CC BY-SA 4.0
Picture added
Apr 11, 2019 at 6:13 comment added Victor Protsak Thank you, Ilya. So you blow up a set of vertices and A and B are adjacent in the blown up graph iff their images are adjacent in the original graph.
Apr 11, 2019 at 5:55 comment added Ilya Bogdanov Each duplicate is connected to all vertices the origin was connected to, as well as to their duplicates. Thus, the degree of each duplicated vertex's neighbor increases. I'll try to make a picture later
Apr 11, 2019 at 5:41 comment added Victor Protsak I was having a hard time understanding this construction. What is the effect of "duplicating the vertices" on the edges of the graph? A picture or an easy example would help.
Apr 10, 2019 at 21:55 history answered Ilya Bogdanov CC BY-SA 4.0