ACM Home Page
Please provide us with feedback. Feedback
Algorithm 797: Fortran subroutines for approximate solution of graph planarization problems using GRASP
Full text PdfPdf (206 KB)
Source ACM Transactions on Mathematical Software (TOMS) archive
Volume 25 ,  Issue 3  (September 1999) table of contents
Pages: 341 - 352  
Year of Publication: 1999
ISSN:0098-3500
Authors
Celso C. Ribeiro  Catholic Univ. of Rio de Janeiro, Rio de Janeiro, Brazil
Mauricio G. C. Resende  AT&T Labs Research, Florham Park, NJ
Publisher
ACM  New York, NY, USA
Bibliometrics
Downloads (6 Weeks): 5,   Downloads (12 Months): 29,   Citation Count: 1
Additional Information:

appendices and supplements   abstract   references   cited by   index terms   collaborative colleagues   peer to peer  

Tools and Actions: Request Permissions Request Permissions    Review this Article  
DOI Bookmark: Use this link to bookmark this Article: http://doi.acm.org/10.1145/326147.326153
What is a DOI?

APPENDICES and SUPPLEMENTS
gZip797.gz (18 KB)
Software for "Fortran subroutines for approximate solution of graph planarization problems using GRASP"


ABSTRACT

We describe Fortran subroutines for finding approximate solutions of the maximum planar subgraph problem (graph planarization) using a Greedy Randomized Adaptive Search Procedure (GRASP). The design and implementation of the code are described in detail. Computational results with the subroutines illustrate the quality of solutions found as a function of number of GRASP iterations.


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
1
 
2
DI BATTISTA,G.AND TAMASSIA, R. 1989. Incremental planarity testing. In Proceedings of the 30th IEEE Symposium on Foundations of Computer Science (FOCS '89, Research Triangle Park, NC, Oct. 30-Nov. 1) IEEE Computer Society Press, Los Alamitos, CA, 436-441.
 
3
FEO,T.AND RESENDE, M. 1995. Greedy randomized adaptive search procedures. J. Global Optim. 6, 109-133.
 
4
GAVRIL, F. 1973. Algorithms for a maximum clique and a maximum independent set of a circle graph. Networks 3, 261-273.
 
5
GOLDSCHMIDT,O.AND TAKVORIAN, A. 1994. An efficient graph planarization two-phase heuristic. Networks 24, 69-73.
 
6
7
 
8
JAYAKUMAR, R., THULASIRAMAN, K., AND SWAMI, N. 1989. O~n 2 ! algorithms for graph planarization. IEEE Trans. Comput.-Aided Des. 8, 257-267.
 
9
J~NGER,M.AND MUTZEL, P. 1996. Maximum planar subgraphs and nice embeddings: Practical layout tools. Algorithmica 16, 33-59.
 
10
LEMPEL, A., EVEN, S., AND CEDARBAUM, I. 1966. An algorithm for planarity testing of graphs. In Proceedings of the International Symposium on Theory of Graphs (Rome) Gordon and Breach Science Publishers, Inc., Langhorn, PA, 215-232.
 
11
LIU,P.AND GELDMACHER, R. 1977. On the deletion of nonplanar edges of a graph. In Proceedings of the 10th Southeastern Conference on Combinatorics, Graph Theory, and Computing (Boca Raton, FL) 727-738.
 
12
RESENDE,M.G.C.AND RIBEIRO, C. C. 1997. A GRASP for graph planarization. Networks 29, 173-189.
 
13
SARRAFZADEH,M.AND LEE, D. 1989. A new approach to topological via minimization. IEEE Trans. Comput.-Aided Des. 8, 890-900.
 
14
TAKEFUJI,Y.AND LEE, K. 1989. A near-optimum parallel planarization algorithm. Science 245, 1221-1223.


Collaborative Colleagues:
Celso C. Ribeiro: colleagues
Mauricio G. C. Resende: colleagues

Peer to Peer - Readers of this Article have also read: