# Compressed Communication Complexity of Longest Common Prefixes

@inproceedings{Bille2018CompressedCC, title={Compressed Communication Complexity of Longest Common Prefixes}, author={Philip Bille and Mikko Berggren Ettienne and Roberto Grossi and Inge Li G{\o}rtz and Eva Rotenberg}, booktitle={SPIRE}, year={2018} }

We consider the communication complexity of fundamental longest common prefix (Lcp) problems. In the simplest version, two parties, Alice and Bob, each hold a string, $A$ and $B$, and we want to determine the length of their longest common prefix $l=\text{Lcp}(A,B)$ using as few rounds and bits of communication as possible. We show that if the longest common prefix of $A$ and $B$ is compressible, then we can significantly reduce the number of rounds compared to the optimal uncompressed protocol…

## One Citation

### Compressed Communication Complexity of Hamming Distance

- Computer ScienceAlgorithms
- 2021

A randomized public-coin protocol for a joint computation of the Hamming distance of two strings represented by LZ77 without self-references is presented, which uses Crochemore's C-factorization and Rytter’s AVL-grammar.

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