An improved fixed-parameter algorithm for vertex cover
Information Processing Letters
Vertex cover: further observations and further improvements
Journal of Algorithms
COCOON '02 Proceedings of the 8th Annual International Conference on Computing and Combinatorics
On efficient fixed-parameter algorithms for weighted vertex cover
Journal of Algorithms
Refined memorization for vertex cover
Information Processing Letters
Upper bounds for vertex cover further improved
STACS'99 Proceedings of the 16th annual conference on Theoretical aspects of computer science
A faster algorithm for the steiner tree problem
STACS'06 Proceedings of the 23rd Annual conference on Theoretical Aspects of Computer Science
Parameterized complexity of generalized vertex cover problems
WADS'05 Proceedings of the 9th international conference on Algorithms and Data Structures
Parameterized Complexity
Journal of Discrete Algorithms
Complexity and approximation results for the connected vertex cover problem
WG'07 Proceedings of the 33rd international conference on Graph-theoretic concepts in computer science
Capacitated domination and covering: a parameterized perspective
IWPEC'08 Proceedings of the 3rd international conference on Parameterized and exact computation
Enumerate and expand: new runtime bounds for vertex cover variants
COCOON'06 Proceedings of the 12th annual international conference on Computing and Combinatorics
Intuitive algorithms and t-vertex cover
ISAAC'06 Proceedings of the 17th international conference on Algorithms and Computation
Deterministic parameterized connected vertex cover
SWAT'12 Proceedings of the 13th Scandinavian conference on Algorithm Theory
Counting minimum weighted dominating sets
COCOON'07 Proceedings of the 13th annual international conference on Computing and Combinatorics
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We present a new method of solving graph problems related to VERTEX COVER by enumerating and expanding appropriate sets of nodes. As an application, we obtain dramatically improved runtime bounds for two variants of the VERTEX COVER problem: In the case of CONNECTED VERTEX COVER, we take the upper bound from O*(6k) to O*(3.2361k) without large hidden factors. For TREE COVER, we show exactly the same complexity, improving vastly over the previous bound of O*((2k)k). In the process, faster algorithms for solving subclasses of the Steiner tree problem on graphs are investigated.