Graph algorithms and NP-completeness
Graph algorithms and NP-completeness
Introduction to algorithms
SIAM Journal on Computing
Fixed-parameter tractability and completeness II: on completeness for W[1]
Theoretical Computer Science
An improved fixed-parameter algorithm for vertex cover
Information Processing Letters
A general method to speed up fixed-parameter-tractable algorithms
Information Processing Letters
Vertex cover: further observations and further improvements
Journal of Algorithms
On efficient fixed-parameter algorithms for weighted vertex cover
Journal of Algorithms
Upper bounds for vertex cover further improved
STACS'99 Proceedings of the 16th annual conference on Theoretical aspects of computer science
Parameterized Complexity
Subexponential parameterized algorithms on bounded-genus graphs and H-minor-free graphs
Journal of the ACM (JACM)
Exact algorithms and applications for Tree-like Weighted Set Cover
Journal of Discrete Algorithms
Minimum Leaf Out-Branching Problems
AAIM '08 Proceedings of the 4th international conference on Algorithmic Aspects in Information and Management
A bounded search tree algorithm for parameterized face cover
Journal of Discrete Algorithms
On parameterized exponential time complexity
Theoretical Computer Science
Improved upper bounds for vertex cover
Theoretical Computer Science
Enumerate and expand: improved algorithms for connected vertex cover and tree cover
CSR'06 Proceedings of the First international computer science conference on Theory and Applications
Enumerate and expand: new runtime bounds for vertex cover variants
COCOON'06 Proceedings of the 12th annual international conference on Computing and Combinatorics
Parameterized complexity of generalized vertex cover problems
WADS'05 Proceedings of the 9th international conference on Algorithms and Data Structures
Distributed memorization for the k-vertex cover problem
ISPA'07 Proceedings of the 5th international conference on Parallel and Distributed Processing and Applications
Hi-index | 0.89 |
Memorization is a technique which allows to speed up exponential recursive algorithms at the cost of an exponential space complexity. This technique already leads to the currently fastest algorithm for fixed-parameter vertex cover, whose time complexity is O(1.2832kk1.5 + kn), where n is the number of nodes and k is the size of the vertex cover. Via a refined use of memorization, we obtain an O(1.2759kk1.5 + kn) algorithm for the same problem. We moreover show how to further reduce the complexity to O(1.2745kk4 + kn).