Abstract
The main result of this paper is an algorithm counting maximal independent sets in graphs with maximum degree at most 3 in time O *(1.2570n) and polynomial space.
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Alber, J., Niedermeier, R.: Improved Tree Decomposition Based Algorithms for Domination-like Problems. In: Rajsbaum, S. (ed.) LATIN 2002. LNCS, vol. 2286, pp. 613–628. Springer, Heidelberg (2002)
Björklund, A., Husfeldt, T., Koivisto, M.: Set partitioning via inclusion-exclusion. SIAM J. Comput. 39(2), 546–563 (2009)
Dahllöf, V., Jonsson, P., Wahlström, M.: Couning models for 2SAT and 3SAT formulae. Theor. Comput. Sci. 332, 265–291 (2005)
Fomin, F.V., Kratsch, D.: Exact Exponential Algorithms. Springer, Heidelberg (2010)
Fomin, F.V., Hoie, K.: Pathwidth of cubic graphs and exact algorithms. Inf. Process. Lett. 97(5), 191–196 (2006)
Fürer, M., Kasiviswanathan, S.P.: Algorithms for Counting 2-Sat Solutions and Colorings with Applications. In: Kao, M.-Y., Li, X.-Y. (eds.) AAIM 2007. LNCS, vol. 4508, pp. 47–57. Springer, Heidelberg (2007)
Fomin, F.V., Gaspers, S., Saurabh, S., Stepanov, A.A.: On Two Techniques of Combining Branching and Treewidth. Algorithmica 54(2), 181–207 (2009)
Gaspers, S., Kratsch, D., Liedloff, M.: On Independent Sets and Bicliques in Graphs. In: Broersma, H., Erlebach, T., Friedetzky, T., Paulusma, D. (eds.) WG 2008. LNCS, vol. 5344, pp. 171–182. Springer, Heidelberg (2008)
Greenhill, C.: The complexity of counting colourings and independent sets in sparse graphs and hypergraphs. Comput. Complex 9, 52–73 (2000)
Jou, M.J., Chang, G.J.: Algorithmic aspects of counting independent sets. Ars. Comb. 65, 265–277 (2002)
Junosza-Szaniawski, K., Tuczyński, M.: Counting maximal independent sets in subcubic graphs, Tech Rep., www.mini.pw.edu.pl/~szaniaws
Kullmann, O.: New methods for 3-SAT decision and worst-case analysis. Theor. Comput. Sci. 223(1-2), 1–72 (1999)
Kutzkov, K.: New upper bound for the #3-SAT problem. Inform. Process. Lett. 105, 1–5 (2007)
Lonc, Z., Truszczynski, M.: Computing minimal models, stable models and answer sets. Theory and Practice of Logic Prog. 6(4), 395–449 (2006)
Vadhan, S.P.: The Complexity of Counting in Sparse, Regular, and Planar Graphs. SIAM J. on Comput. 31, 398–427 (1997)
Wahlström, M.: A Tighter Bound for Counting Max-Weight Solutions to 2SAT Instances. In: Grohe, M., Niedermeier, R. (eds.) IWPEC 2008. LNCS, vol. 5018, pp. 202–213. Springer, Heidelberg (2008)
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Junosza-Szaniawski, K., Tuczyński, M. (2012). Counting Maximal Independent Sets in Subcubic Graphs. In: Bieliková, M., Friedrich, G., Gottlob, G., Katzenbeisser, S., Turán, G. (eds) SOFSEM 2012: Theory and Practice of Computer Science. SOFSEM 2012. Lecture Notes in Computer Science, vol 7147. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27660-6_27
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DOI: https://doi.org/10.1007/978-3-642-27660-6_27
Publisher Name: Springer, Berlin, Heidelberg
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