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  Detecting Directed 4-cycles Still Faster

Eisenbrand, F., & Grandoni, F. (2003). Detecting Directed 4-cycles Still Faster. Information Processing Letters, 87, 13-15.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-2CB8-3 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0026-A171-A
Genre: Journal Article

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 Creators:
Eisenbrand, Friedrich1, Author           
Grandoni, Fabrizio1, Author           
Affiliations:
1Discrete Optimization, MPI for Informatics, Max Planck Society, ou_1116548              

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 Abstract: We present a method to detect simple cycles of length~4 of a directed graph in~$O(n^{1/\omega} e^{2-2/\omega})$ steps, where $n$~denotes the number of nodes, $e$ denotes the number of edges and $\omega$ is the exponent of matrix multiplication. This improves upon the currently fastest methods for $\alpha\in (2/(4-\omega),(\omega+1)/2)$, where $e=n^\alpha$.

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Language(s): eng - English
 Dates: 2004-07-012003
 Publication Status: Issued
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: eDoc: 202036
Other: Local-ID: C1256BDD00205AD6-887E6EBB78997E70C1256CD800369B3A-EisGra2003
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Title: Information Processing Letters
Source Genre: Journal
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Publ. Info: Amsterdam : Elsevier
Pages: - Volume / Issue: 87 Sequence Number: - Start / End Page: 13 - 15 Identifier: ISSN: 0020-0190
CoNE: https://pure.mpg.de/cone/journals/resource/954921346222