| Algorithm 797: Fortran subroutines for approximate solution of graph planarization problems using GRASP |
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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
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Downloads (6 Weeks): 5, Downloads (12 Months): 29, Citation Count: 1
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APPENDICES and SUPPLEMENTS
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Software for "Fortran subroutines for approximate solution of graph planarization problems using GRASP"
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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.
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FEO,T.AND RESENDE, M. 1995. Greedy randomized adaptive search procedures. J. Global Optim. 6, 109-133.
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GAVRIL, F. 1973. Algorithms for a maximum clique and a maximum independent set of a circle graph. Networks 3, 261-273.
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GOLDSCHMIDT,O.AND TAKVORIAN, A. 1994. An efficient graph planarization two-phase heuristic. Networks 24, 69-73.
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JAYAKUMAR, R., THULASIRAMAN, K., AND SWAMI, N. 1989. O~n 2 ! algorithms for graph planarization. IEEE Trans. Comput.-Aided Des. 8, 257-267.
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J~NGER,M.AND MUTZEL, P. 1996. Maximum planar subgraphs and nice embeddings: Practical layout tools. Algorithmica 16, 33-59.
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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.
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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.
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RESENDE,M.G.C.AND RIBEIRO, C. C. 1997. A GRASP for graph planarization. Networks 29, 173-189.
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SARRAFZADEH,M.AND LEE, D. 1989. A new approach to topological via minimization. IEEE Trans. Comput.-Aided Des. 8, 890-900.
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TAKEFUJI,Y.AND LEE, K. 1989. A near-optimum parallel planarization algorithm. Science 245, 1221-1223.
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