The present disclosure is directed to routing of data in a spiking neural network (SNN) that performs in-memory operations. To model a computer-implemented SNN after a biological neural network, the architecture in the present disclosure involves different memory sections for storing inbound spike messages, synaptic connection data, and synaptic connection parameters. Embodiments are directed to routing spike messages through various router-based topologies. For example, spike messages may be multicasted to target routers using address tables.