Compressed Communication Complexity of Longest Common Prefixes

  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},
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… 

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