PageRank
Iterative Random Walk Stationary Distribution for Graph Node Centrality
#Graph Theory#Centrality#Markov Chains#Ranking#Search Engines
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STAGE 1 / 7— Anti-Pattern
Section 1: The LLM Anti-Pattern vs Right-Sized Model
The Naive Generative LLM Approach:
Prompting an LLM with raw JSON graph edge lists to determine the top authoritative nodes in a 50,000-node network.
Why It Fails in Production:
LLMs hallucinate link traversal, suffer quadratic attention cost ($O(N^2)$) on edge tokens, cannot compute eigenvalues, and produce non-deterministic rankings.
Targeted Algorithm (PageRank)
Latency:12ms on CPU
Cost / 1M Ops:$0.00
Determinism:100% Deterministic
Generative LLM Alternative
Latency:4,500ms
Cost / 1M Ops:$18,000 (huge prompt context)
Determinism:Nondeterministic Hallucinations