Dijkstra's algorithm computes the shortest path from a source node to every other node in a weighted graph with non-negative edges. It repeatedly expands the closest unvisited node using a priority queue.
Dijkstra's algorithm - Interview Concepts - ExtraBrain is part of ExtraBrain's local-first Mac workflow for live interviews, meetings, transcription, provider control, and responsible AI use.
Dijkstra's algorithm computes the shortest path from a source node to every other node in a weighted graph with non-negative edges. It repeatedly expands the closest unvisited node using a priority queue.
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Keep tentative distances, always expand the nearest unvisited node, and relax each of its neighbors.
A min-heap makes selecting the closest node efficient, giving O((V plus E) log V) time.
It requires non-negative weights; for graphs with negative edges use Bellman-Ford instead.
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Short answers for people and crawlers comparing ExtraBrain with other live AI assistants.
A negative edge can make an already-finalized node reachable more cheaply later, breaking the greedy assumption.
A binary or Fibonacci heap used as a priority queue selects the nearest node efficiently.
