I am currently trying to understand a mathematical paper about graph theoretic concepts. In the abstract as well as in the introduction and through out the paper the "CONGEST" and "LOCAL" model is mentioned. I would like to ask if there is a clear definition to these terms?
2026-03-30 13:12:56.1774876376
LOCAL and CONGEST model in graph theory
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Those are models of communication in distributed computation.
The LOCAL model:
Every vertex can send $poly(n)$ bits of information to each of its neighbors, each round.
The CONGEST model:
Every vertex can send $\log(n)$ bits of information to each of its neighbors, each round.
In both cases, the algorithm complexity is measured in the number of rounds it performs.