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Cuckoo hashing is an efficient technique for creating large hash tables withhigh space utilization and guaranteed constant access times. There, each itemcan be placed in a location given by any one out of k different hash functions.In this paper we investigate further the random walk heuristic for inserting inan online fashion new items into the hash table. Provided that k > 2 and thatthe number of items in the table is below (but arbitrarily close) to thetheoretically achievable load threshold, we show a polylogarithmic bound forthe maximum insertion time that holds with high probability.

On the Insertion Time of Cuckoo Hashing