Designing a Good Virtual Node: Addressable and Cardinality-Preserving Global Memory for Message Passing Architectures
arXiv:2608.02709v1 Announce Type: new Abstract: Virtual nodes give message-passing neural networks a simple global communication route, but the standard node--VN--node pipeline compresses the graph into one homogeneous state and broadcasts it identically to every node. Building on the Two-Radius analysis of Mishayev et al., we ask how auxiliary virtual memory can relieve this finite-capacity bottleneck without self-attention. We identify two requirements. First, the global memory should be facto

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