An efficient algorithm for minimum feedback vertex sets in rotator graphs

Information Processing Letters

Volumn 109, Issue 9, 2009, Pages 450-453

  Kuo, Chi Jung ^a   Hsu, Chiun Chieh ^a   Lin, Hon Ren ^b   Lin, Kung Kuei ^a  

^a NATIONAL TAIWAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Taiwan)

^b NATIONAL TAIPEI UNIVERSITY OF BUSINESS   (Taiwan)

Author keywords

Cycle; Feedback vertex set; Generator; Graph algorithms; Rotator graph

Indexed keywords

ALGORITHMS;

CYCLE; FEEDBACK VERTEX SET; GENERATOR; GRAPH ALGORITHMS; ROTATOR GRAPH;

ROTATION;

EID: 61649091528     PISSN: 00200190     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ipl.2009.01.004     Document Type: Article

References (14)

1. Bar-Yehuda R., Geiger D., Naor J.S., and Roth R.M. Approximation algorithms for the feedback vertex set problem with applications to constraint satisfaction and Bayesian inference. SIAM J. Comput. 27 4 (1998) 942-959
2. Caragiannis I., Kaklamanis C., and Kanellopoulos P. New bounds on the size of the feedback vertex set on meshes and butterflies. Inform. Process. Lett. 83 5 (2002) 275-280
3. Corbett P.F. Rotator graphs: An efficient topology for point-to-point multiprocessor networks. IEEE Trans. Parallel Distrib. Syst. 3 5 (1992) 622-626
4. Flood M.M. Exact and heuristic algorithms for the weighted feedback arc set problem: A special case of the skew-symmetric quadratic assignment problem. Networks 20 (1990) 1-23
5. Focardi R., Luccio F.L., and Peleg D. Feedback vertex set in hypercubes. Inform. Process. Lett. 76 1-2 (2000) 1-5
6. Garey M.R., and Johnson D.S. Computers and Intractability (1979), Freeman, San Francisco, CA
7. Gusfield D. A graph theoretic approach to statistical data security. SIAM J. Comput. 17 3 (1998) 552-571
8. Hsu C.C., Lin H.R., Chang H.C., and Lin K.K. Feedback Vertex Sets in Rotator Graphs. Lecture Notes in Comput. Sci. vol. 3984 (2006) 158-164
9. Johnson D.S. Approximation algorithms for combinatorial problems. J. Comput. System Sci. 9 (1974) 256-278
10. Kralovic R., and Ruzicka P. Minimum feedback vertex sets in shuffle-based interconnection networks. Inform. Process. Lett. 86 4 (2003) 191-196
11. Luccio F.L. Exact minimum feedback vertex set in meshes and butterflies. Inform. Process. Lett. 66 2 (1998) 59-64
12. Silberschatz A., Galvin P.B., and Gagne G. Operating Systems Concepts. 6th ed. (2003), John Wiley and Sons, Inc., New York
13. Wang F.H., Wang Y.L., and Chang J.M. Feedback vertex sets in star graphs. Inform. Process. Lett. 89 4 (2004) 203-208
14. Yannakakis M. Node-deletion problem on bipartite graphs. SIAM J. Comput. 10 (1981) 310-327