We propose \emph{LumosCore} to build high-bandwidth and large-scale data center networks for LLM jobs. By replacing the core-layer electrical packet switches by optical circuit switches, \emph{LumosCore} could achieves $2\times$ increase in bandwidth or $8\times$ increase in network size. We offer the detailed design of \emph{LumosCore} at both deployment stage and running stage. At deployment stage, we propose Interleaved Wiring, which is compatible with all possible logical topologies. At running stage, we design polynomial-time algorithms for GPU placement, logical topology generating and OCS reconfiguration to minimize network contention and reduce impact to scheduled jobs. We evaluate \emph{LumosCore} using both testbed experiments and large-scale simulation. Compared to traditional hybrid optical/electrical architectures, \emph{LumosCore} increases the end-to-end training throughput by up to 39.5\% on a 128-node testbed. Compared to the state-of-art Clos architectures, \emph{LumosCore} reduces the average job completion time by up to 34.1\% in a 16k simulation platform.
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