Minimum feedback vertex sets in shuffle-based interconnection networks

Information Processing Letters

Volumn 86, Issue 4, 2003, Pages 191-196

  Královič, Rastislav ^a   Ružička, Peter ^a  

^a Faculty of Natural Sciences   (Slovakia)

Author keywords

Combinatorial problems; De Bruijn; Feedback vertex set; Kautz; Shuffle exchange

Indexed keywords

ALGORITHMS; GRAPH THEORY; POLYNOMIALS; SET THEORY;

FEEDBACK VERTEX SETS;

INTERCONNECTION NETWORKS;

EID: 13744265861     PISSN: 00200190     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-0190(02)00504-5     Document Type: Article

References (14)

1. Bafna V., Berman P., Fujito T. A 2 -approximation algorithm for the undirected feedback vertex set problem. SIAM J. Discrete Math. 12:1999;289-297.
2. Bau S., Beineke L.W., Liu Z., Du G., Vandell R.C. Decycling cubes and grids. Utilitas Math. 59:2001;129-137.
3. Beineke L.W., Vandell R.C. Decycling graphs. J. Graph Theory. 25:1997;59-77.
4. Bar-Yehuda R., Geiger D., Naor J.S., Roth R.M. Approximation algorithms for the feedback vertex set problem with applications to constraint satisfaction and Bayesian inference. SIAM J. Comput. 27:1998;942-959.
5. Caragiannis I., Kaklamanis Ch., Kanellopoulos P. New bounds on the size of the minimum feedback vertex set in meshes and butterflies. Proceedings in Informatics 11, SIROCCO 2001. 2001;77-88 Carleton Scientific, Ottawa, ON.
6. Festa P., Pardalos P.M., Resende M.G.C. Feedback set problems. Du D.-Z., Pardalos P.M. Handbook of Combinatorial Optimization, Vol. A. 1999;209-258 Kluwer, Dordrecht.
7. Focardi R., Luccio F.L., Peleg D. Feedback vertex set in hypercubes. Inform. Process. Lett. 76:2000;1-5.
8. Garey M.R., Johnson D.S. Computers and Intractability. 1979;Freeman, San Francisco, CA.
9. Liang Y.D. On the feedback vertex set in permutation graphs. Inform. Process. Lett. 52:1994;123-129.
10. Liang Y.D., Chang M.S. Minimum feedback vertex set in cocomparability graphs and convex bipartite graphs. Acta Inform. 34:1997;337-346.
11. Lu C.L., Tang C.Y. A linear-time algorithm for the weighted feedback vertex problem on interval graphs. Inform. Process. Lett. 61:1997;107-112.
12. Luccio F.L. Almost exact minimum feedback vertex set in meshes and butterflies. Inform. Process. Lett. 66:1998;59-64.
13. D.A. Pike, Decycling hypercubes, Submitted for publication, 2002.
14. Wang C.-C., Lloyd E.L., Soffa M.L. Feedback vertex sets and cyclically reducible graphs. J. ACM. 32:1985;296-313.