Weighted Random Assignments with Application to Hashing

In this talk we will study the optimal solution to a class of random assignment problems with dependent weights. The result is then used to show that, in double hashing, the expected retrieval cost with respect to an optimal static hash table is O(1) even if the table is full. This confirms a conjecture of Gonnet and Munro (SIAM J. on Computing 8 (1979), 463–478).