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Jan 17, 2018 at 1:14 comment added Jānis Lazovskis @YosemiteSam Yes, number of edges matters.The ones you mentioned would be $\{a,b,\{a,b\}\}$ and $\{a,b,c,\{a,b\},\{b,c\}\}$. I would consider the "intersection" of these two to be the first one, since it is a subset / simplicial subcomplex of the second. I am trying to preserve as many simplices as possible that both have (maybe a "largest possible" subcomplex both have).
Jan 17, 2018 at 1:02 comment added Yosemite Sam It looks like this would depend a lot on what structure you are trying to preserve. For example, does the number of edges matter? Would a graph consisting of two vertices and one edge, and the graph consisting of three vertices and two edges, be the same?
Jan 16, 2018 at 23:05 history asked Jānis Lazovskis CC BY-SA 3.0