{"title":"Hash functions for priority queues","authors":"M. Ajtai, M. Fredman, J. Komlós","doi":"10.1016/S0019-9958(84)80015-7","DOIUrl":null,"url":null,"abstract":"<div><p>The complexity of priority queue operations is analyzed with respect to the cell probe computational model of A. Yao (<em>J. Assoc. Comput. Mach.</em> <strong>28</strong>, No. 3 (1981), 615–628). A method utilizing families of hash functions is developed which permits priority queue operations to be implemented in constant worst-case time provided that a size constraint is satisfied. The minimum necessary size of a family of hash functions for computing the rank function is estimated and contrasted with the minimum size required for perfect hashing.</p></div>","PeriodicalId":38164,"journal":{"name":"信息与控制","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1984-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0019-9958(84)80015-7","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"信息与控制","FirstCategoryId":"1093","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0019995884800157","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
Abstract
The complexity of priority queue operations is analyzed with respect to the cell probe computational model of A. Yao (J. Assoc. Comput. Mach.28, No. 3 (1981), 615–628). A method utilizing families of hash functions is developed which permits priority queue operations to be implemented in constant worst-case time provided that a size constraint is satisfied. The minimum necessary size of a family of hash functions for computing the rank function is estimated and contrasted with the minimum size required for perfect hashing.
基于姚(A. Yao, J. Assoc.)的细胞探针计算模型，分析了优先队列操作的复杂性。第一版。28马赫，第3期(1981)，615-628页)。开发了一种利用哈希函数族的方法，在满足大小约束的情况下，允许在恒定的最坏情况时间内实现优先级队列操作。估计计算秩函数所需的哈希函数族的最小大小，并将其与完美哈希所需的最小大小进行比较。
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