Average-case analysis of incremental topological ordering

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Title: Average-case analysis of incremental topological ordering
Authors: Ajwani, Deepak
Friedrich, Tobias
Permanent link: http://hdl.handle.net/10197/10132
Date: 28-Feb-2010
Online since: 2019-04-24T13:00:26Z
Abstract: Many applications like pointer analysis and incremental compilation require maintaining a topological ordering of the nodes of a directed acyclic graph (DAG) under dynamic updates. All known algorithms for this problem are either only analyzed for worst-case insertion sequences or only evaluated experimentally on random DAGs. We present the first average-case analysis of incremental topological ordering algorithms. We prove an expected runtime of O(n2polylog(n)) under insertion of the edges of a complete DAG in a random order for the algorithms of Alpern et al. (1990) [4], Katriel and Bodlaender (2006) [18], and Pearce and Kelly.
Type of material: Journal Article
Publisher: Elsevier
Journal: Discrete Applied Mathematics
Volume: 158
Issue: 4
Start page: 240
End page: 250
Copyright (published version): 2009 Elsevier
Keywords: Dynamic graph algorithmsAverage-case analysisRandom graphs
DOI: 10.1016/j.dam.2009.07.006
Language: en
Status of Item: Peer reviewed
Appears in Collections:Computer Science Research Collection

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