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Связное доминирующее множество: различия между версиями

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Литература
== Литература ==


1. Alzoubi, K.M., Wan, P.-J., Frieder, O.: Message-optimal connected dominating sets in mobile ad hoc networks. In: ACM MOBIHOC, Lausanne, Switzerland, 09-11 June 2002
1. Alzoubi, K.M., Wan, P.-J., Frieder, O.: Message-optimal connected dominating sets in mobile ad hoc networks. In: ACM MOBIHOC, Lausanne, Switzerland, 09-11 June 2002
2. Alzoubi, K.M., P.-J.Wan, Frieder, O.: New Distributed Algorithm for Connected Dominating Set in Wireless Ad Hoc Networks. In: HICSS35, Hawaii, January 2002
2. Alzoubi, K.M., P.-J.Wan, Frieder, O.: New Distributed Algorithm for Connected Dominating Set in Wireless Ad Hoc Networks. In: HICSS35, Hawaii, January 2002
3. Ambuhl, C., Erlebach, T., Mihalak, M., Nunkesser, M.: Constant-Factor Approximation for Minimum-Weight (Connected) Dominating Sets in Unit Disk Graphs. In: LNCS, vol.4110, pp 3-14. Springer, Berlin (2006)
3. Ambuhl, C., Erlebach, T., Mihalak, M., Nunkesser, M.: Constant-Factor Approximation for Minimum-Weight (Connected) Dominating Sets in Unit Disk Graphs. In: LNCS, vol.4110, pp 3-14. Springer, Berlin (2006)
4. Blum, J., Ding, M., Thaeler, A., Cheng, X.: Applications of Connected Dominating Sets in Wireless Networks. In: Du, D.-Z., Pardalos, P. (eds.) Handbook of Combinatorial Optimization, pp. 329-369. Kluwer Academic (2004)
4. Blum, J., Ding, M., Thaeler, A., Cheng, X.: Applications of Connected Dominating Sets in Wireless Networks. In: Du, D.-Z., Pardalos, P. (eds.) Handbook of Combinatorial Optimization, pp. 329-369. Kluwer Academic (2004)
5. Cheng, X., Huang, X., Li, D., Wu, W., Du, D.-Z.: A polynomial-time approximation scheme for minimum connected dominating set in ad hoc wireless networks. Networks 42,202-208 (2003)
5. Cheng, X., Huang, X., Li, D., Wu, W., Du, D.-Z.: A polynomial-time approximation scheme for minimum connected dominating set in ad hoc wireless networks. Networks 42,202-208 (2003)
   
   
6. Du, D.-Z., Graham, R.L., Pardalos, P.M., Wan, P.-J., Wu, W., Zhao, W.: Analysis of greedy approximations with nonsubmodular potential functions. In: Proceedings of the 19th annual ACM-SIAM Symposium on Discrete Algorithms (SODA) pp. 167-175. January 2008
6. Du, D.-Z., Graham, R.L., Pardalos, P.M., Wan, P.-J., Wu, W., Zhao, W.: Analysis of greedy approximations with nonsubmodular potential functions. In: Proceedings of the 19th annual ACM-SIAM Symposium on Discrete Algorithms (SODA) pp. 167-175. January 2008
7. Dubhashi, D., Mei, A., Panconesi, A., Radhakrishnan, J., Srinivasan, A.: Fast Distributed Algorithms for (Weakly) Connected Dominating Sets and Linear-Size Skeletons. In: SODA, 2003, pp. 717-724
7. Dubhashi, D., Mei, A., Panconesi, A., Radhakrishnan, J., Srinivasan, A.: Fast Distributed Algorithms for (Weakly) Connected Dominating Sets and Linear-Size Skeletons. In: SODA, 2003, pp. 717-724
8. Feige, U.: A Threshold of lnn for Approximating Set Cover. J.ACM 45(4) 634-652 (1998)
8. Feige, U.: A Threshold of lnn for Approximating Set Cover. J.ACM 45(4) 634-652 (1998)
9. Gfeller, B., Vicari, E.: A Randomized Distributed Algorithm for the Maximal Independent Set Problem in Growth-Bounded Graphs. In: PODC 2007
9. Gfeller, B., Vicari, E.: A Randomized Distributed Algorithm for the Maximal Independent Set Problem in Growth-Bounded Graphs. In: PODC 2007


10. Guha, S., Khuller, S.: Approximation algorithms for connected dominating sets. Algorithmica 20, 374-387 (1998)
10. Guha, S., Khuller, S.: Approximation algorithms for connected dominating sets. Algorithmica 20, 374-387 (1998)
11. Jia, L., Rajaraman, R., Suel, R.:An Efficient Distributed Algorithm for Constructing Small Dominating Sets. In: PODC, Newport, Rhode Island, USA, August 2001
11. Jia, L., Rajaraman, R., Suel, R.:An Efficient Distributed Algorithm for Constructing Small Dominating Sets. In: PODC, Newport, Rhode Island, USA, August 2001
12. Kuhn, F., Moscibroda, T., Nieberg, T., Wattenhofer, R.: Fast De terministic Distributed Maximal Independent Set Computation on Growth-Bounded Graphs. In: DISC, Cracow, Poland, September 2005
12. Kuhn, F., Moscibroda, T., Nieberg, T., Wattenhofer, R.: Fast De terministic Distributed Maximal Independent Set Computation on Growth-Bounded Graphs. In: DISC, Cracow, Poland, September 2005
13. Kuhn, F., Moscibroda, T., Nieberg,T., Wattenhofer, R.: Local Approximation Schemes for Ad Hoc and Sensor Networks. In: DIALM-POMC, Cologne, Germany, September 2005
13. Kuhn, F., Moscibroda, T., Nieberg,T., Wattenhofer, R.: Local Approximation Schemes for Ad Hoc and Sensor Networks. In: DIALM-POMC, Cologne, Germany, September 2005
14. Kuhn, F., Moscibroda, T., Wattenhofer, R.: On the Locality of Bounded Growth. In: PODC, Las Vegas, Nevada, USA, July 2005
14. Kuhn, F., Moscibroda, T., Wattenhofer, R.: On the Locality of Bounded Growth. In: PODC, Las Vegas, Nevada, USA, July 2005
15. Kuhn, F., Wattenhofer, R.: Constant-Time Distributed Dominating Set Approximation. In: PODC, Boston, Massachusetts, USA, July 2003
15. Kuhn, F., Wattenhofer, R.: Constant-Time Distributed Dominating Set Approximation. In: PODC, Boston, Massachusetts, USA, July 2003
16. Linial, N.: Locality in distributed graph algorithms. SIAM J. Comput. 21(1), 193-201 (1992)
16. Linial, N.: Locality in distributed graph algorithms. SIAM J. Comput. 21(1), 193-201 (1992)
17. Luby, M.: A Simple Parallel Algorithm for the Maximal Independent Set Problem. SIAM J. Comput. 15,1036-1053 (1986)
17. Luby, M.: A Simple Parallel Algorithm for the Maximal Independent Set Problem. SIAM J. Comput. 15,1036-1053 (1986)
18. Marathe, M.V., Breu, H., Hunt III, H.B., Ravi, S.S., Rosenkrantz, D.J.: Simple Heuristics for Unit Disk Graphs. Networks 25, 59-68(1995)
18. Marathe, M.V., Breu, H., Hunt III, H.B., Ravi, S.S., Rosenkrantz, D.J.: Simple Heuristics for Unit Disk Graphs. Networks 25, 59-68(1995)
19. Min, M., Du, H., Jia, X., Huang, X., Huang, C.-H., Wu, W.: Improving construction for connected dominating set with Steiner tree in wireless sensor networks. J. Glob. Optim. 35, 111-119 (2006)
19. Min, M., Du, H., Jia, X., Huang, X., Huang, C.-H., Wu, W.: Improving construction for connected dominating set with Steiner tree in wireless sensor networks. J. Glob. Optim. 35, 111-119 (2006)
20. Nieberg, T., Hurink, J.L.: A PTAS for the Minimum Dominating Set Problem in Unit Disk Graphs. LNCS, vol. 3879, pp. 296-306. Springer, Berlin (2006)
20. Nieberg, T., Hurink, J.L.: A PTAS for the Minimum Dominating Set Problem in Unit Disk Graphs. LNCS, vol. 3879, pp. 296-306. Springer, Berlin (2006)
21. Ruan, L., Du, H., Jia, X., Wu, W., Li, Y., Ko, K.-I.: A greedy approximation for minimum connected dominating set. Theor. Comput. Sci. 329, 325-330 (2004)
21. Ruan, L., Du, H., Jia, X., Wu, W., Li, Y., Ko, K.-I.: A greedy approximation for minimum connected dominating set. Theor. Comput. Sci. 329, 325-330 (2004)
22. Sampathkumar, E., Walikar, H.B.: The Connected Domination Number of a Graph. J. Math. Phys. Sci. 13,607-613 (1979)
22. Sampathkumar, E., Walikar, H.B.: The Connected Domination Number of a Graph. J. Math. Phys. Sci. 13,607-613 (1979)
23. Thai, M.T., Wang F., Liu, D., Zhu, S., Du, D.-Z.: Connected Dominating Sets in Wireless Networks with Different Transmission Range. IEEE Trans. Mob. Comput. 6(7), 721-730 (2007)
23. Thai, M.T., Wang F., Liu, D., Zhu, S., Du, D.-Z.: Connected Dominating Sets in Wireless Networks with Different Transmission Range. IEEE Trans. Mob. Comput. 6(7), 721-730 (2007)
24. Wan, P.-J., Alzoubi, K.M., Frieder, O.: Distributed Construction of Connected Dominating Set in Wireless Ad Hoc Networks. In: IEEE INFOCOM 2002
24. Wan, P.-J., Alzoubi, K.M., Frieder, O.: Distributed Construction of Connected Dominating Set in Wireless Ad Hoc Networks. In: IEEE INFOCOM 2002
25. Wu, W., Du, H., Jia, X., Li, Y., Huang, C.-H.: Minimum Connected Dominating Sets and Maximal Independent Sets in Unit Disk Graphs. Theor. Comput. Sci. 352,1 -7 (2006)
25. Wu, W., Du, H., Jia, X., Li, Y., Huang, C.-H.: Minimum Connected Dominating Sets and Maximal Independent Sets in Unit Disk Graphs. Theor. Comput. Sci. 352,1 -7 (2006)
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