Graph minors: X. obstructions to tree-decomposition
Journal of Combinatorial Theory Series B
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
Bidimensionality: new connections between FPT algorithms and PTASs
SODA '05 Proceedings of the sixteenth annual ACM-SIAM symposium on Discrete algorithms
Virtual backbone construction in multihop ad hoc wireless networks: Research Articles
Wireless Communications & Mobile Computing - Special Issue on Ad Hoc Wireless Networks
Dominating Sets in Planar Graphs: Branch-Width and Exponential Speed-Up
SIAM Journal on Computing
Dynamic programming and fast matrix multiplication
ESA'06 Proceedings of the 14th conference on Annual European Symposium - Volume 14
Optimal branch-decomposition of planar graphs in O(n3) Time
ACM Transactions on Algorithms (TALG)
New upper bounds on the decomposability of planar graphs
Journal of Graph Theory
Computational study on planar dominating set problem
Theoretical Computer Science
Computing branch decomposition of large planar graphs
WEA'08 Proceedings of the 7th international conference on Experimental algorithms
Efficient exact algorithms on planar graphs: exploiting sphere cut branch decompositions
ESA'05 Proceedings of the 13th annual European conference on Algorithms
Connectivity is not a limit for kernelization: planar connected dominating set
LATIN'10 Proceedings of the 9th Latin American conference on Theoretical Informatics
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The connected dominating set (CDS) problem is a well studied NP-hard problem with many important applications. Dorn et al. [ESA2005, LNCS3669, pp95-106] introduce a new technique to generate 2O(√n) time and fixed-parameter algorithms for a number of nonlocal hard problems, including the CDS problem in planar graphs. The practical performance of this algorithm is yet to be evaluated. We perform a computational study for such an evaluation. The results show that the size of instances can be solved by the algorithm mainly depends on the branchwidth of the instances, coinciding with the theoretical result. For graphs with small or moderate branchwidth, the CDS problem instances with size up to a few thousands edges can be solved in a practical time and memory space. This suggests that the branch-decomposition based algorithms can be practical for the planar CDS problem.