Abstract

A new solution for the Firing Squad Synchronization Problem (FSSP) on two-dimensional square arrays is presented and its correctness is demonstrated in detail. Our new solution is time as well as communication optimal (the so-called minimal time 1-bit solution). In addition, it is shown that the technique developed and the results obtained allow also to solve in optimal time & communication FSSP for several other variants of this problem on networks shaped as square grids (with four Generals), square toruses and rings.

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