Chen; I. Kanj; and W. Jia. (The Vertex Cover Problem The Vertex Cover Problem)

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Time Complexity

$O(kn + {1.2852}^k)$

Space Complexity

$O(k^{3})$ auxiliary? (potentially $O(k^{2})$??) words

(First auxiliary graph contains O(k^2) edges; algorithm subsequently branches to a depth of O(k) (each fork being degree O(1)), with a new O(k^2)-sized graph at each depth. Interleaving shouldn't increase space usage asymptotically. (Could possibly be reduced to O(k) by just keeping track of graph deltas?) (but also a different source claims exponential?))

Description

Approximate?

Exact

Randomized?

No, deterministic

Model of Computation

Word RAM

Year

2001

Reference

https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.7.4800&rep=rep1&type=pdf