On the number of labeled graphs of bounded treewidth
Tài liệu tham khảo
Beineke, 1969, The number of labeled k-dimensional trees, J. Combin. Theory, 6, 200, 10.1016/S0021-9800(69)80120-1
Bodirsky, 2007, Enumeration and limit laws for series-parallel graphs, European J. Combin., 28, 2091, 10.1016/j.ejc.2007.04.011
Bodlaender, 1992
H.L. Bodlaender, J. Nederlof, Subexponential time algorithms for finding small tree and path decompositions, 2016, CoRR abs/1601.02415.
H.L. Bodlaender, J. Nederlof, T.C. van der Zanden, Subexponential time algorithms for embedding H-minor free graphs, in: Proc. of the 43rd International Colloquium on Automata, Languages, and Programming, ICALP, in: LIPIcs, vol. 55, 2016, pp. 9:1–9:14.
Cygan, 2015
Drmota, 2016, An asymptotic analysis of labeled and unlabeled k-trees, Algorithmica, 75, 579, 10.1007/s00453-015-0039-1
Flajolet, 2009
Foata, 1971, Enumerating k-trees, Discrete Math., 1, 181, 10.1016/0012-365X(71)90023-9
F.V. Fomin, D. Lokshtanov, N. Misra, S. Saurabh, Planar F-deletion: Approximation, kernelization and optimal FPT algorithms, in: Proc. of the 53rd Annual IEEE Symposium on Foundations of Computer Science, FOCS, 2012, pp. 470–479.
Gainer-Dewar, 2012, Γ-species and the enumeration of k-trees, Electron. J. Combin., 19, P45, 10.37236/2615
Gainer-Dewar, 2014, Counting unlabeled k-trees, J. Combin Theory Ser. B, 126, 177, 10.1016/j.jcta.2014.05.002
Gajarský, 2017, Kernelization using structural parameters on sparse graph classes, J. Comput. System Sci., 84, 219, 10.1016/j.jcss.2016.09.002
Gao, 2012, Treewidth of Erdős-Rényi random graphs, random intersection graphs, and scale-free random graphs, Discrete Appl. Math., 160, 566, 10.1016/j.dam.2011.10.013
B.M.P. Jansen, D. Lokshtanov, S. Saurabh, A near-optimal planarization algorithm, in: Proc. of the 25th Annual ACM-SIAM Symposium on Discrete Algorithms, SODA, 2014, pp. 1802–1811.
Kim, 2016, Linear kernels and single-exponential algorithms via protrusion decompositions, ACM Trans. Algorithms, 12, 21, 10.1145/2797140
Kloks, 1994, vo. l842
D. Mitsche, G. Perarnau, On the treewidth and related parameters of random geometric graphs, in: Proc. of the 29th International Symposium on Theoretical Aspects of Computer Science, STACS, LIPIcs, vol. 14, 2012, pp. 408–419.
Moon, 1969, The number of labeled k-trees, J. Combin. Theory, 6, 196, 10.1016/S0021-9800(69)80119-5
Osthus, 2003, On random planar graphs, the number of planar graphs and their triangulations, J. Combin. Theory Ser. B, 88, 119, 10.1016/S0095-8956(02)00040-0
Robertson, 1991, Graph minors. X. Obstructions to tree-decomposition, J. Combin. Theory Ser. B, 52, 153, 10.1016/0095-8956(91)90061-N
Takács, 1990, On the number of distinct forests, SIAM J. Discrete Math., 3, 574, 10.1137/0403050
Takahashi, 1994, Minimal acyclic forbidden minors for the family of graphs with bounded path-width, Discrete Math., 127, 293, 10.1016/0012-365X(94)90092-2
Takahashi, 1995, Mixed searching and proper-path-width, Theoret. Comput. Sci., 137, 253, 10.1016/0304-3975(94)00160-K