On the Variance of a Class of Inductive Valuations of Data Structures for Digital Search
نویسنده
چکیده
Let an inductive valuation L on the family of binary tries or Patricia tries or digital search trees be defined in the following way: L(t) = L(t,) + L(t,) + R(t), where tc and t, denote the left and right subtrees of t and R depends only on the size (the number of records) 1 t 1 of t. Let LN denote L restricted to the trees of size N. In Theorem 1 we give sufficient conditions on the sequence rltl := R(t) for the variance Var Lt., to be of exact order N, if the family of tries (resp. Patricia tries, resp. digital search trees) is equipped with the Bernoulli model. For the symmetric Bernoulli model we prove the existence of a continuous periodic function 6 with period 1, such that Var LN N 6(log, N). N holds.
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ورودعنوان ژورنال:
- Theor. Comput. Sci.
دوره 144 شماره
صفحات -
تاریخ انتشار 1995