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== Литература == | == Литература == | ||
1. Baker, B.S.: Approximation algorithms for NP-complete problems on planar graphs. J. Assoc. Comput. Mach. 41 (1), 153-180 (1994) | 1. Baker, B.S.: Approximation algorithms for NP-complete problems on planar graphs. J. Assoc. Comput. Mach. 41 (1), 153-180 (1994) | ||
2. Borradaile, G., Kenyon-Mathieu, C., Klein, P.N.: A polynomial-time approximation scheme for Steiner tree in planar graphs. In: Proceedings of the 18th Annual ACM-SIAM Symposium on Discrete Algorithms, 2007 | 2. Borradaile, G., Kenyon-Mathieu, C., Klein, P.N.: A polynomial-time approximation scheme for Steiner tree in planar graphs. In: Proceedings of the 18th Annual ACM-SIAM Symposium on Discrete Algorithms, 2007 | ||
3. Demaine, E.D., Hajiaghayi, M.: Diameter and treewidth in minor-closed graph families, revisited. Algorithmica 40(3), 211-215(2004) | 3. Demaine, E.D., Hajiaghayi, M.: Diameter and treewidth in minor-closed graph families, revisited. Algorithmica 40(3), 211-215(2004) | ||
4. Demaine, E.D., Hajiaghayi, M.: Equivalence of local treewidth and linear local treewidth and its algorithmic applications. In: Proceedings of the 15th ACM-SIAM Symposium on Discrete Algorithms (SODA'04), January 2004, pp. 833-842 | 4. Demaine, E.D., Hajiaghayi, M.: Equivalence of local treewidth and linear local treewidth and its algorithmic applications. In: Proceedings of the 15th ACM-SIAM Symposium on Discrete Algorithms (SODA'04), January 2004, pp. 833-842 | ||
5. Demaine, E.D., Hajiaghayi, M.: Bidimensionality: new connections between FPT algorithms and PTASs. In: Proceedings of the 16th Annual ACM-SIAM Symposium on Discrete Algorithms (SODA 2005), Vancouver, January 2005, pp. 590-601 | 5. Demaine, E.D., Hajiaghayi, M.: Bidimensionality: new connections between FPT algorithms and PTASs. In: Proceedings of the 16th Annual ACM-SIAM Symposium on Discrete Algorithms (SODA 2005), Vancouver, January 2005, pp. 590-601 | ||
6. Demaine, E.D., Hajiaghayi, M., Kawarabayashi, K.-I.: Algorithmic graph minor theory: Decomposition, approximation, and coloring. In: Proceedings of the 46th Annual IEEE Symposium on Foundations of Computer Science, Pittsburgh, October 2005, pp.637-646 | 6. Demaine, E.D., Hajiaghayi, M., Kawarabayashi, K.-I.: Algorithmic graph minor theory: Decomposition, approximation, and coloring. In: Proceedings of the 46th Annual IEEE Symposium on Foundations of Computer Science, Pittsburgh, October 2005, pp.637-646 | ||
7. Demaine, E.D., Hajiaghayi, M., Mohar, B.: Approximation algorithms via contraction decomposition. In: Proceedings of the 18th Annual ACM-SIAM Symposium on Discrete Algorithms, New Orleans, 7-9 January 2007, pp. 278-287 | 7. Demaine, E.D., Hajiaghayi, M., Mohar, B.: Approximation algorithms via contraction decomposition. In: Proceedings of the 18th Annual ACM-SIAM Symposium on Discrete Algorithms, New Orleans, 7-9 January 2007, pp. 278-287 | ||
8. Demaine, E.D., Hajiaghayi, M., Nishimura, N., Ragde, P., Thilikos, D.M.: Approximation algorithms for classes of graphs excluding single-crossing graphs as minors. J. Comput. Syst. Sci. 69(2),166-195(2004) | 8. Demaine, E.D., Hajiaghayi, M., Nishimura, N., Ragde, P., Thilikos, D.M.: Approximation algorithms for classes of graphs excluding single-crossing graphs as minors. J. Comput. Syst. Sci. 69(2),166-195(2004) | ||
9. DeVos, M., Ding, G., Oporowski, B., Sanders, D.P., Reed, B., Seymour, P., Vertigan, D.: Excluding any graph as a minor allows a low tree-width 2-coloring. J. Comb. Theory Ser. B 91(1), 25-41 (2004) | 9. DeVos, M., Ding, G., Oporowski, B., Sanders, D.P., Reed, B., Seymour, P., Vertigan, D.: Excluding any graph as a minor allows a low tree-width 2-coloring. J. Comb. Theory Ser. B 91(1), 25-41 (2004) | ||
10. Eppstein, D.: Diameter and treewidth in minor-closed graph families. Algorithmica 27(3-4), 275-291 (2000) | 10. Eppstein, D.: Diameter and treewidth in minor-closed graph families. Algorithmica 27(3-4), 275-291 (2000) | ||
11. Frick, M., Grohe, M.: Deciding first-order properties of locally tree-decomposable structures. J. ACM 48(6), 1184-1206 (2001) | 11. Frick, M., Grohe, M.: Deciding first-order properties of locally tree-decomposable structures. J. ACM 48(6), 1184-1206 (2001) | ||
12. Grohe, M.: Local tree-width, excluded minors, and approximation algorithms. Combinatorica 23(4), 613-632 (2003) | 12. Grohe, M.: Local tree-width, excluded minors, and approximation algorithms. Combinatorica 23(4), 613-632 (2003) | ||
13. Klein, P.N.: A linear-time approximation scheme for TSP for planar weighted graphs. In: Proceedings of the 46th IEEE Symposium on Foundations of Computer Science, 2005, pp. 146-155 | 13. Klein, P.N.: A linear-time approximation scheme for TSP for planar weighted graphs. In: Proceedings of the 46th IEEE Symposium on Foundations of Computer Science, 2005, pp. 146-155 | ||
14. Klein, P.N.: A subset spanner for planar graphs, with application to subset TSP. In: Proceedings of the 38th ACM Symposium on Theory of Computing, 2006, pp. 749-756 | 14. Klein, P.N.: A subset spanner for planar graphs, with application to subset TSP. In: Proceedings of the 38th ACM Symposium on Theory of Computing, 2006, pp. 749-756 | ||
15. Lipton, R.J., Tarjan, R.E.: A separator theorem for planar graphs. SIAM J. Appl. Math. 36(2), 177-189 (1979) | 15. Lipton, R.J., Tarjan, R.E.: A separator theorem for planar graphs. SIAM J. Appl. Math. 36(2), 177-189 (1979) | ||
16. Lipton, R.J., Tarjan, R.E.: Applications of a planar separator the orem. SIAM J. Comput. 9(3), 615-627 (1980) | 16. Lipton, R.J., Tarjan, R.E.: Applications of a planar separator the orem. SIAM J. Comput. 9(3), 615-627 (1980) |
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