
handle: 11573/516305 , 11573/531278
Let Gk,n be the family of all graphs on the same n vertices each having at least k connected components. We are interested in the largest cardinality of a subfamily in which the union of any two of the member graphs has at most k−2 connected components, and determine its exponential asymptotics.
connected components.; families of graphs; extremal combinatorics
connected components.; families of graphs; extremal combinatorics
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