Abstract
We present an O *(1.0977n) search-tree based exact algorithm for max independent set in graphs with maximum degree 3. It can be easily seen that this algorithm also works in graphs with average degree 3.
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Robson, J.M.: Finding a maximum independent set in time O(2n/4). Technical Report 1251-01, LaBRI, Université de Bordeaux I (2001)
Beigel, R.: Finding maximum independent sets in sparse and general graphs. In: Proc. Symposium on Discrete Algorithms, SODA 1999, pp. 856–857 (1999)
Chen, J., Kanj, I.A., Xia, G.: Labeled search trees and amortized analysis: improved upper bounds for NP-hard problems. In: Ibaraki, T., Katoh, N., Ono, H. (eds.) ISAAC 2003. LNCS, vol. 2906, pp. 148–157. Springer, Heidelberg (2003)
Fomin, F.V., Høie, K.: Pathwidth of cubic graphs and exact algorithms. Inform. Process. Lett. 97, 191–196 (2006)
Fürer, M.: A faster algorithm for finding maximum independent sets in sparse graphs. In: Correa, J.R., Hevia, A., Kiwi, M. (eds.) LATIN 2006. LNCS, vol. 3887, pp. 491–501. Springer, Heidelberg (2006)
Razgon, I.: A faster solving of the maximum independent set problem for graphs with maximal degree 3. In: Proc. Algorithms and Complexity in Durham, ACiD 2006, pp. 131–142 (2006)
Wœginger, G.J.: Exact algorithms for NP-hard problems: A survey. In: Jünger, M., Reinelt, G., Rinaldi, G. (eds.) Combinatorial Optimization - Eureka, You Shrink! LNCS, vol. 2570, pp. 185–207. Springer, Heidelberg (2003)
Eppstein, D.: Improved algorithms for 3-coloring, 3-edge-coloring, and constraint satisfaction. In: Proc. Symposium on Discrete Algorithms, SODA 2001, pp. 329–337 (2001)
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Bourgeois, N., Escoffier, B., Paschos, V.T. (2008). An O *(1.0977n) Exact Algorithm for max independent set in Sparse Graphs. In: Grohe, M., Niedermeier, R. (eds) Parameterized and Exact Computation. IWPEC 2008. Lecture Notes in Computer Science, vol 5018. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-79723-4_7
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DOI: https://doi.org/10.1007/978-3-540-79723-4_7
Publisher Name: Springer, Berlin, Heidelberg
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