Dijkstra's Algorithm
Optimal Single-Source Shortest Path for Non-Negative Weighted Graphs
#Graph Theory#Shortest Path#Greedy#Priority Queue#Routing
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STAGE 1 / 7— Anti-Pattern
Section 1: The LLM Anti-Pattern vs Right-Sized Model
The Naive Generative LLM Approach:
Asking an LLM agent to find the lowest-latency API hop sequence or shortest road network delivery route across 2,000 nodes.
Why It Fails in Production:
LLMs lack mathematical execution guarantees. They hallucinate impossible edge connections, violate weight accumulation, and fail on scale.
Targeted Algorithm (Dijkstra's Algorithm)
Latency:0.4ms
Cost / 1M Ops:$0.00
Determinism:Mathematically Optimal
Generative LLM Alternative
Latency:2,200ms
Cost / 1M Ops:$9,000
Determinism:Often Invalid / Sub-optimal