# Parallel and fast sequential algorithms for undirected edge connectivity augmentation

@article{Benczr1999ParallelAF, title={Parallel and fast sequential algorithms for undirected edge connectivity augmentation}, author={Andr{\'a}s A. Bencz{\'u}r}, journal={Mathematical Programming}, year={1999}, volume={84}, pages={595-640} }

1,E2,..., such that ⋃i≤τEi optmially increases the connectivity by τ, for any integer τ. The main result of the paper is that this sequence of edge sets can be divided into O(n) groups such that within one group, all Ei are basically the same. Using this result, we improve on the running time of edge connectivity augmentation, as well as we give the first parallel (RNC) augmentation algorithm. We also present new efficient subroutines for finding the so-called extreme sets and the cactus…

## 2 Citations

### Pushdown-reduce: an algorithm for connectivity augmentation and poset covering problems

- Computer Science, MathematicsDiscret. Appl. Math.
- 2003

### Primal-dual approach for directed vertex connectivity augmentation and generalizations

- Mathematics, Computer ScienceSODA '05
- 2005

This work presents a combinatorial algorithm for the general problem that includes directed vertex or S - T connectivity augmentation and uses a primal-dual scheme for finding covers of partially ordered sets that satisfy natural abstract properties.

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