Equation 14 · Part 5 · The Hardest Unsolved Problems in AI Agent Architecture
Numerator: n(n-1)
What this part means
The complete quantity above the fraction bar.
Its job in the formula
n(n-1) occurs above the fraction bar. The numerator is divided by the entire denominator below it.
Full expression→Numerator: n(n-1)→Article meaning
The passage around this formula
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…
Learn the underlying idea
A fraction a/b means a divided by b. The top number is the numerator; the bottom number is the denominator, and it cannot be zero.
Open the illustrated fractions: division written vertically guide →
Sources cited in the article section
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