Tree Structures for Optimal Searching
Journal of the ACM (JACM)
Practical Aspects of Doubly Chained Trees for Retrieval
Journal of the ACM (JACM)
A comment on the double-chained tree
Communications of the ACM
A note on optimal doubly-chained trees
Communications of the ACM
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In Y.N. Patt's paper “Variable Length Tree Structures Having Minimum Average Search Time” [Comm. ACM 12 (Feb. 1969)], the tree structures obtained are not actually optimal with respect to the two-dimensional chaining devised by Sussenguth in his 1963 paper. This note points out that the result can be described as “optimal” only under the constraint—which Patt implicity assumes—that no key be allowed to prefix another.