Equation 14 · The Hardest Unsolved Problems in AI Agent Architecture
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=
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Denominator: 2
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What the article says around this equation
For n agents that each need a channel to every other agent, the number of pairwise links a fully connected coordination topology requires is . which grows quadratically in n even before accounting for the content sent over each link. That is a modeling assumption, not a law of nature — a system that routes all communication through a single orchestrator instead of a full mesh pays a linear cost in links, at the price of a central bottleneck and a single point of failure — but every real multi-agent framework has to choose a point on that trade-off, and reasonable designers disagree about where: full-mesh topologies keep no single node load-bearing but scale their wiring…
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For n agents that each need a channel to every other agent, the number of pairwise links a fully connected coordination topology requires is . which grows quadratically in n even before accounting for the content sent over each link. That is a modeling assumption, not a law of nature — a system that routes all communication through a single orchestrator instead of a full mesh pays a linear cost in links, at the price of a central bottleneck and a single point of failure — but every real multi-agent framework has to choose a point on that trade-off, and reasonable designers disagree about where: full-mesh topologies keep no single node load-bearing but scale their wiring badly; orchestrated topologies scale their wiring well but concentrate risk in the orchestrator. Neither choice dominates the other in general, which is itself evidence that this is an open design question rather than a solved one.
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