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Author Ahuja, Ravindra K. ♦ Mehlhorn, Kurt ♦ Orlin, James ♦ Tarjan, Robert E.
Source ACM Digital Library
Content type Text
Publisher Association for Computing Machinery (ACM)
File Format PDF
Copyright Year ©1990
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Abstract Efficient implementations of Dijkstra's shortest path algorithm are investigated. A new data structure, called the radix heap, is proposed for use in this algorithm. On a network with $\textit{n}$ vertices, $\textit{m}$ edges, and nonnegative integer arc costs bounded by $\textit{C},$ a one-level form of radix heap gives a time bound for Dijkstra's algorithm of $\textit{O}(\textit{m}$ + $\textit{n}$ log $\textit{C}).$ A two-level form of radix heap gives a bound of $\textit{O}(\textit{m}$ + $\textit{n}$ log $\textit{C}/log$ log $\textit{C}).$ A combination of a radix heap and a previously known data structure called a Fibonacci heap gives a bound of $\textit{O}(\textit{m}$ + $\textit{n}a$ @@@@log $\textit{C}).$ The best previously known bounds are $\textit{O}(\textit{m}$ + $\textit{n}$ log $\textit{n})$ using Fibonacci heaps alone and $\textit{O}(\textit{m}$ log log $\textit{C})$ using the priority queue structure of Van Emde Boas et al. [ 17].
ISSN 00045411
Age Range 18 to 22 years ♦ above 22 year
Educational Use Research
Education Level UG and PG
Learning Resource Type Article
Publisher Date 1990-04-01
Publisher Place New York
e-ISSN 1557735X
Journal Journal of the ACM (JACM)
Volume Number 37
Issue Number 2
Page Count 11
Starting Page 213
Ending Page 223

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Source: ACM Digital Library