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We present a first study on the reconfigurability of optical operators in the optical computing platform, ternary optical computer (TOC), from the viewpoint of complex network. In the optical operator reconfiguration network (OORN), vertexes stand for the basic operating units (BOUs) and the optical operators, and directed edges indicate the dynamic reconfiguration relations between BOUs and operators. We find that the OORN has small-world pattern and scale-free feature as other complex networks. In order to describe the clustering property of the OORN, we propose an approach for characterizing the OORN by introducing a new numerical feature, density of vertex. Its density distribution follows power-law distribution as its cumulative degree distribution. In addition, we find that it is reasonable and optimal to use 50 kinds of BOUs in real TOC system by comparing the OORNs with different kinds of BOUs.

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