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As a barrier synchronization communication operation, all-reduce communication operation is used in many parallel and distributed algorithms. In this paper, the all-reduce communication operation is developed using Extended Dominating Node (EDN) approach on OTIS-Mesh (Optical Transpose Interconnection System Mesh) optoelectronic architecture. Also, the performance assessment of all-reduce communication operation is presented mathematically and by simulation in terms of number of communication steps, latency, and latency improvement; among three optoelectronic architectures: the single-port OTIS-Mesh, all-port OTIS-Mesh, and all-port EDN-OTIS-Mesh. The obtained mathematical and simulation results show that the all-reduce communication operation on all-port EDN-OTIS-Mesh significantly outperforms the single-port and all-port OTIS-Mesh.