TY - JOUR
T1 - Study of Random Biased d-ary Tries Model
TT - بررسی مدل ترایهای d-d یی اریب تصادفی
JF - khu-mmr
JO - khu-mmr
VL - 2
IS - 2
UR - http://mmr.khu.ac.ir/article-1-2584-en.html
Y1 - 2016
SP - 39
EP - 50
KW - d-ary tries
KW - profile
KW - height
KW - depth.
N2 - Tries are the most popular data structure on strings. We can construct d-ary tries by using strings over an alphabet leading to d-ary tries. Throughout the paper we assume that strings stored in trie are generated by an appropriate memory less source. In this paper, with a special combinatorial approach we extend their analysis for average profiles to d-ary tries. We use this combinatorial approach for studying of average profile, since its probability distribution is unknown. We obtain the probability distribution of depth and the distribution function of height as n is large. These results follow from the study of certain recurrence equations that we solve by a analytic method.
M3 10.29252/mmr.2.2.39
ER -