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Maximum Matchings via Gaussian Elimination
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Inclusion--Exclusion Algorithms for Counting Set Partitions
FOCS '06 Proceedings of the 47th Annual IEEE Symposium on Foundations of Computer Science
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Proceedings of the thirty-ninth annual ACM symposium on Theory of computing
Efficiency in exponential time for domination-type problems
Discrete Applied Mathematics
Graph-Theoretic Concepts in Computer Science
A measure & conquer approach for the analysis of exact algorithms
Journal of the ACM (JACM)
Approximating the Bandwidth of Caterpillars
Algorithmica
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ICALP '09 Proceedings of the 36th International Colloquium on Automata, Languages and Programming: Part I
Exact and Approximate Bandwidth
ICALP '09 Proceedings of the 36th International Colloquium on Automata, Languages and Programming: Part I
ICALP '09 Proceedings of the 36th International Colloquium on Automata, Languages and Programming: Part I
Efficient Approximation of Combinatorial Problems by Moderately Exponential Algorithms
WADS '09 Proceedings of the 11th International Symposium on Algorithms and Data Structures
Planar Capacitated Dominating Set Is W[1]-Hard
Parameterized and Exact Computation
An Exponential Time 2-Approximation Algorithm for Bandwidth
Parameterized and Exact Computation
Capacitated domination and covering: a parameterized perspective
IWPEC'08 Proceedings of the 3rd international conference on Parameterized and exact computation
Exact Exponential Algorithms
Hi-index | 0.89 |
In this paper we consider the Capacitated Dominating Set problem - a generalisation of the Dominating Set problem where each vertex v is additionally equipped with a number c(v), which is the number of other vertices this vertex has the capacity to dominate. We provide an algorithm that solves Capacitated Dominating Set exactly in O(1.89^n) time and polynomial space. Despite the fact that the Capacitated Dominating Set problem is quite similar to the Dominating Set problem, we are not aware of any published algorithms solving this problem faster than the straightforward O^@?(2^n) solution prior to this paper. This was stated as an open problem at Dagstuhl seminar 08431 in 2008 and IWPEC 2008. We also provide an exponential approximation scheme for Capacitated Dominating Set which is a trade-off between the time complexity and the approximation ratio of the algorithm.