Thin heaps, thick heaps

Author:

Kaplan Haim1,Tarjan Robert Endre2

Affiliation:

1. Tel Aviv University, Israel

2. Princeton University, Princeton, NJ and Hewlett Packard Laboratories, Palo Alto, CA

Abstract

The Fibonacci heap was devised to provide an especially efficient implementation of Dijkstra's shortest path algorithm. Although asyptotically efficient, it is not as fast in practice as other heap implementations. Expanding on ideas of Høyer [1995], we describe three heap implementations (two versions of thin heaps and one of thick heaps ) that have the same amortized efficiency as Fibonacci heaps, but need less space and promise better practical performance. As part of our development, we fill in a gap in Høyer's analysis.

Funder

Israel Science Foundation

National Science Foundation

Publisher

Association for Computing Machinery (ACM)

Subject

Mathematics (miscellaneous)

Reference35 articles.

1. An algorithm for organization of information;Adel'son-Vel'skii G. M.;Dokl. Akad. Nauk SSSR,1962

2. Aho A. V. Hopcroft J. E. and Ullman J. D. 1982. Data Structures and Algorithms. Addison-Wesley. Aho A. V. Hopcroft J. E. and Ullman J. D. 1982. Data Structures and Algorithms. Addison-Wesley.

3. Cache-oblivious priority queue and graph algorithm applications

4. Symmetric binary B-Trees: Data structure and maintenance algorithms

5. What is a “pointer machine”?

Cited by 13 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Smooth Heaps and a Dual View of Self-Adjusting Data Structures;SIAM Journal on Computing;2019-11-05

2. Smooth heaps and a dual view of self-adjusting data structures;Proceedings of the 50th Annual ACM SIGACT Symposium on Theory of Computing;2018-06-20

3. Hollow Heaps;ACM Transactions on Algorithms;2017-07-31

4. Replacing Mark Bits with Randomness in Fibonacci Heaps;Automata, Languages, and Programming;2015

5. Hollow Heaps;Automata, Languages, and Programming;2015

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3