A REPERTOIRE FOR ADDITIVE FUNCTIONALS OF UNIFORMLY DISTRIBUTED m-ARY SEARCH TREES
نویسنده
چکیده
Using recent results on singularity analysis for Hadamard products of generating functions, we obtain the limiting distributions for additive functionals on m-ary search trees on n keys with toll sequence (i) nα with α ≥ 0 (α = 0 and α = 1 correspond roughly to the space requirement and total path length, respectively); (ii) ln ( n m−1 ) , which corresponds to the socalled shape functional; and (iii) 1n=m−1, which corresponds to the number of leaves.
منابع مشابه
A repertoire for additive functionals of uniformly distributed m - ary search trees ( Extended Abstract )
Using recent results on singularity analysis for Hadamard products of generating functions, we obtain the limiting distributions for additive functionals on m-ary search trees on n keys with toll sequence (i) n with α ≥ 0 (α = 0 and α = 1 correspond roughly to the space requirement and total path length, respectively); (ii) ln ` n m−1 ́ , which corresponds to the so-called shape functional; and ...
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