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CSL-76-3_The_Analysis_of_Hashing_Algorithms.pdfTHE ANALYSIS OF HASHING ALGORITHMS BY LEONIDAS J. GUIBAS CSL-76-3 JULY 1976 ' See abstract on next page. KEY WORDS AND PHRASES algorithmic analysis, arithmetic progression, hashing, information storage and retrieval, generating function, recurrence relation, Farey series, clustering, hypergeometric distribution, table overflow CR CATEGORIES 3.74, 5.24, 5.25, 5.30 XEROX PALO ALTO RESEARCH CENTER 3333 COYOTE HILL ROAD / PALO ALTO / CALIFORNIA 94304 ABSTRACT In this thesis we relate the performance of hashing algorithms to the notion of clustering, that is the pile-up phenomenon that occurs because many keys may probe the table locations in the same sequence. We will say that a hashing technique exhibits k-ary clustering if the search for a key begins with k independent

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