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Equation 25 · Part 1 · Naive, Graph, and Agentic: A Systems Comparison of RAG Architectures

Symbol C_index

CindexC_{\text{index}}
CindexC_{\text{index}}

What this part means

the writing.

Its job in the formula

CiC_index is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Where the article explains it

Writing CindexC_{\text{index}} for the one-time cost of building the graph and its community summaries, and cmarginalc_{\text{marginal}} for the cost of answering a single query against the finished structure, the amortised cost of a query workload of size Q against one graph is cquery(Q)c_{\text{query}}(Q) = CindexQ\frac{C_{\text{index}}}{Q} + cmarginalc_{\text{marginal}}.

The passage around this formula

CindexC_{\text{index}} is also the family’s most visible weakness, and the project’s own subsequent work treats it as one worth solving rather than downplaying, which is worth reading as a vendor’s own admission of the problem’s severity. Microsoft’s follow-up post introducing LazyGraphRAG reports — as a…

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Learn the underlying idea

A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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Sources cited in the surrounding passage

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