Title
A priority queue with the time-finger property
Abstract
We present a priority queue that supports insert in worst-case constant time, and delete-min, access-min, delete, and decrease of an element x in worst-case O(log(min{w"x,q"x})) time, where w"x (respectively, q"x) is the number of elements that were accessed after (respectively, before) the last access to x and are still in the priority queue at the time when the corresponding operation is performed. (An access to an element is accounted for by any priority-queue operation that involves this element.) Our priority queue then has both the working-set and the queueish properties; and, more strongly, it satisfies these properties in the worst-case sense. From the results in Iacono (2001) [11] and Elmasry et al. (2011) [7], our priority queue also satisfies the static-finger, static-optimality, and unified bounds. Moreover, we modify our priority queue to realize a new unifying property - the time-finger property - which encapsulates both the working-set and the queueish properties.
Year
DOI
Venue
2012
10.1016/j.jda.2012.04.014
J. Discrete Algorithms
Keywords
Field
DocType
queueish property,last access,time-finger property,priority queue,priority-queue operation,worst-case o,corresponding operation,new unifying property,worst-case sense,worst-case constant time,priority queues,splay trees,data structures
Data structure,Discrete mathematics,Combinatorics,G/G/1 queue,Splay tree,M/G/1 queue,M/G/k queue,Priority queue,Mathematics,Double-ended priority queue
Journal
Volume
ISSN
Citations 
16,
1570-8667
2
PageRank 
References 
Authors
0.35
12
3
Name
Order
Citations
PageRank
Amr Elmasry125934.53
Arash Farzan213611.07
John Iacono340442.83