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Paper · arXiv

Parallel AI Agent Collaboration as Graph-Structured Distributed Block Optimization

Parallel AI agents can produce useful local edits yet degrade a shared solution when their edits are combined. We model this coordination problem as discrete block optimization with an exactly evaluable objective and a known dependency graph. Independent sets certify compatible edits whose verified gains, measured against the same current solution, add exactly. A coordinator constructs a safe compatible candidate and can also evaluate interacting edits to capture favorable interactions. We prove that an optimal fractional coloring yields a merger that preserves a $1/χ_f(G)$ fraction of the total verified local improvement, where $χ_f(G)$ is the graph's fractional chromatic number. This gu...

AuthorsHanmin Li, Yury Demidovich, Peter Richtárik
Primary categorycs.MA
Published21 October 2026
Last updated at source21 October 2026
cs.MAcs.AImath.OC
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