MENTAL MODEL · M7538

Dependency Graph

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Updated 2026-08-10

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INTRODUCTION

English translation pending.

CORE DEFINITION

A dependency graph visualizes the relationships among tasks, modules, or elements as a directed graph: each node is an element and each arrow means one element requires another. It makes the required order and the constraints explicit, supports critical path identification and scheduling optimization, and exposes circular dependencies and single-point bottlenecks. Dependency mapping and dependency matrices are equivalent tools.

SCAFFOLDING EFFECT

psychology

Reduce cognitive load

- Sequence the work: draw who must wait for whom before committing to dates - Find the critical path: trace the longest dependency chain, since it sets the floor on duration - Break the knot: detect cycles and single-point bottlenecks, then decouple or add buffer

anchor

Anchor fast decisions

Modeling predecessor-successor relations as a directed graph turns vague coordination into computable structure: the longest dependency chain yields the critical path, which sets the minimum possible duration, and any cycle reveals deadlock. As dependencies multiply, scheduling freedom shrinks and risk concentrates on the bottleneck node, so the graph shows exactly where relief pays off.

MINIMUM ACTION

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Practice this model in one real situation:

List every single element that must be coordinated for the work 2. Draw arrows showing exactly which element depends on which 3. Mark which steps must be serial and which can run in parallel 4. Compute the critical path as the longest dependency chain 5. Find cycles and single-point bottlenecks, then decouple them or add buffer

Check to track your progress (stored locally)

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Source support: Explicit

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en.wikipedia.orghttps://en.wikipedia.org/wiki/Dependency_graphZH · Explicit
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