Consider the problem of sending a single message from a sender to a receiver through an m × n mesh with asynchronous links that may stop working, and memoryless intermediate nodes. We prove that for m ∈ O(1), it is necessary and sufficient to use packet headers that are Θ(log log n) bits long.
CITATION STYLE
Adler, M., Fich, F., Goldberg, L. A., & Paterson, M. (2000). Tight size bounds for packet headers in narrow meshes. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1853, pp. 756–767). Springer Verlag. https://doi.org/10.1007/3-540-45022-x_63
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