Perfect Completion and Deletion in Random Graphs
نویسندگان
چکیده
In the Perfect Completion problem one wishes to add the fewest possible edges to a graph in order to obtain a perfect graph. How large can the size of the added edge set be compared to the size of the edge set of the original graph? We show that with high probability the smallest perfect graph containing a random graph G(n; n 0:6) has (n 1:8) edges. We also show that with high probability the minimum edge set that must be deleted from a random graph G(n; 0:5) has (n 2) edges.
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