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- W89448923 abstract "In the Connected Vertex Cover problem we are given an undirected graph G together with an integer k and we are to find a subset of vertices X of size at most k, such that X contains at least one end-point of each edge and such that X induces a connected subgraph. For this problem we present a deterministic algorithm running in O(2 k poly(n)) time and polynomial space, improving over the previous-best O(2.4882 k poly(n)) time deterministic algorithm and O(2 k poly(n)) time randomized algorithm. Furthermore, when usage of exponential space is allowed, we present an O(2 k k(n + m)) time algorithm that solves a more general variant with real weights. Finally, we show that in O(2 k poly(n)) time and space one can count the number of connected vertex covers of size at most k, and this time upper bound can not be improved to O((2 − ε) k poly(n)) for any ε > 0 under the Strong Exponential Time Hypothesis, as shown by Cygan et al. [CCC’12]." @default.
- W89448923 created "2016-06-24" @default.
- W89448923 creator A5037989463 @default.
- W89448923 date "2012-01-01" @default.
- W89448923 modified "2023-10-11" @default.
- W89448923 title "Deterministic Parameterized Connected Vertex Cover" @default.
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- W89448923 doi "https://doi.org/10.1007/978-3-642-31155-0_9" @default.
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