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Feb 3, 2018 at 17:25 comment added Manfred Weis @GerhardPaseman I was thinking, that maybe an adaptation of the disjoint set union algorithm may yield faster algorithms. But I think that problem should have already appeared elsewhere.
Feb 3, 2018 at 17:02 comment added Gerhard Paseman I imagine time roughly quadratic in the number of vertices. Start by assigning a different number to each vertex. When an edge is added, if it joins two vertices with different numbers, reassign the smaller number to all vertices with the higher number, otherwise leave things alone. You are maintaining an equivalence relation of connected components. Gerhard "Not Sure Where This Leads" Paseman, 2018.02.03.
Feb 3, 2018 at 16:27 history edited Manfred Weis CC BY-SA 3.0
removed an unnecessary graph property
Feb 3, 2018 at 15:41 history edited Martin Sleziak
added top-level tag; https://meta.mathoverflow.net/questions/1457/why-are-mo-tags-formatted-as-they-are
Feb 3, 2018 at 15:41 history edited Manfred Weis CC BY-SA 3.0
made a formulation more precise
Feb 3, 2018 at 15:27 history asked Manfred Weis CC BY-SA 3.0