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Author, Editor
Author(s):
Mehlhorn, Kurt
Michail, Dimitrios		dblp
dblp

BibTeX cite key*:

Mehlhorn2007b

Title

Title*:

Implementing Minimum Cycle Basis Algorithms


Mehlhorn2007b.pdf (406.9 KB)

Journal

Journal Title*:

Journal of Experimental Algorithmics
Journal's URL:


Download URL
for the article:

http://delivery.acm.org/10.1145/1220000/1216582/p1-mehlhorn.pdf?key1=1216582&key2=5234073711&coll=ACM&dl=ACM&CFID=15151515&CFTOKEN=6184618
Language:

English

Publisher

Publisher's
Name:

ACM
Publisher's URL:


Publisher's
Address:

New York, NY, USA
ISSN:

1084-6654

Vol, No, Year, pp.

Volume:

11
Number:


Month:


Year*:

2007

Pages:

1-14
Number of VG Pages:


Sequence Number:

2.5
DOI:


Abstract, Links, (C)

Note:


(LaTeX) Abstract:

In this paper, we consider the problem of computing a minimum cycle basis of an undirected graph G = (V,E) with n vertices and m edges. We describe an efficient implementation of an O(m3 + mn2 log n) algorithm. For sparse graphs, this is the currently best-known algorithm. This algorithm's running time can be partitioned into two parts with time O(m3) and O(m2n + mn2 log n), respectively. Our experimental findings imply that for random graphs the true bottleneck of a sophisticated implementation is the O(m2 n + mn2 log n) part. A straightforward implementation would require Ω(nm) shortest-path computations. Thus, we develop several heuristics in order to get a practical algorithm. Our experiments show that in random graphs our techniques result in a significant speed-up. Based on our experimental observations, we combine the two fundamentally different approaches to compute a minimum cycle basis to obtain a new hybrid algorithm with running time O(m2n2). The hybrid algorithm is very efficient, in practice, for random dense unweighted graphs. Finally, we compare these two algorithms with a number of previous implementations for finding a minimum cycle basis of an undirected graph.

URL for the Abstract:

http://portal.acm.org/citation.cfm?id=1187436.1216582&coll=ACM&dl=ACM&idx=J430&part=periodical&WantType=periodical&title=Journal%20of%20Experimental%20Algorithmics%20(JEA)&CFID=15151515&CFTOKEN=6184618#

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HyperLinks / References / URLs:


Copyright Message:


Personal Comments:


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Access Level:

Public

Correlation
MPG Unit:
Max-Planck-Institut für Informatik
MPG Subunit:
Algorithms and Complexity Group
Audience:
Expert
Appearance:
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BibTeX Entry:

@MISC{Mehlhorn2007b,
AUTHOR = {Mehlhorn, Kurt and Michail, Dimitrios},
 TITLE = {Implementing Minimum Cycle Basis Algorithms},
 JOURNAL = {Journal of Experimental Algorithmics},
 PUBLISHER = {ACM},
 YEAR = {2007},
 VOLUME = {11},
 PAGES = {1--14},
 ADDRESS = {New York, NY, USA},
 ISBN = {1084-6654},
}

Entry last modified by Uwe Brahm, 02/28/2008
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Editor(s)
Christine Kiesel		Created
03/12/2007 01:54:33 PM
Revisions
4.
3.
2.
1.
0.		Editor(s)
Uwe Brahm
Christine Kiesel
Christine Kiesel
Christine Kiesel
Christine Kiesel		Edit Dates
2007-07-18 14:40:54
26.06.2007 16:55:46
12.03.2007 14:05:34
12.03.2007 14:00:40
12.03.2007 13:59:12
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