مورد إلكتروني
Towards More Realistic Probabilistic Models for Data Structures: The External Path Length in Tries under the Markov Model
| العنوان: | Towards More Realistic Probabilistic Models for Data Structures: The External Path Length in Tries under the Markov Model |
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| بيانات النشر: | 2012-07-02 2012-09-18 |
| تفاصيل مُضافة: | Leckey, Kevin Neininger, Ralph Szpankowski, Wojciech |
| نوع الوثيقة: | Electronic Resource |
| مستخلص: | Tries are among the most versatile and widely used data structures on words. They are pertinent to the (internal) structure of (stored) words and several splitting procedures used in diverse contexts ranging from document taxonomy to IP addresses lookup, from data compression (i.e., Lempel-Ziv'77 scheme) to dynamic hashing, from partial-match queries to speech recognition, from leader election algorithms to distributed hashing tables and graph compression. While the performance of tries under a realistic probabilistic model is of significant importance, its analysis, even for simplest memoryless sources, has proved difficult. Rigorous findings about inherently complex parameters were rarely analyzed (with a few notable exceptions) under more realistic models of string generations. In this paper we meet these challenges: By a novel use of the contraction method combined with analytic techniques we prove a central limit theorem for the external path length of a trie under a general Markov source. In particular, our results apply to the Lempel-Ziv'77 code. We envision that the methods described here will have further applications to other trie parameters and data structures. Comment: minor revision; to appear in Proceedings of ACM-SIAM Symposium on Discrete Algorithms (SODA) (2013) |
| مصطلحات الفهرس: | Mathematics - Probability, Computer Science - Data Structures and Algorithms, 60F05, 68P05, 68Q25, text |
| URL: | |
| الإتاحة: | Open access content. Open access content |
| أرقام أخرى: | COO oai:arXiv.org:1207.0302 798542109 |
| المصدر المساهم: | CORNELL UNIV From OAIster®, provided by the OCLC Cooperative. |
| رقم الأكسشن: | edsoai.ocn798542109 |
| قاعدة البيانات: | OAIster |
| الوصف غير متاح. |