A directed edge A→B says B may follow or depend on A; it does not imply the reverse. Direction can represent control, data, causality claims, or prerequisites, so its meaning must be labeled.

Direction Encodes Dependence

A path is an ordered sequence of connected nodes. Enumerating important paths reveals skipped checks, impossible states, and expensive loops before deployment.

A Path Is One Possible Execution Story

A trace links each run's inputs, node executions, decisions, tool calls, outputs, timing, and errors. It should support diagnosis without leaking unnecessary private content.

A Trace Records What Actually Happened

Control-flow edges determine execution order, branching, joining, retry, and termination. They should not be inferred accidentally from where data happens to be stored.

Control Flow Answers What Runs Next

Branches can run concurrently when they do not depend on one another's intermediate results. A join defines when enough results have arrived and how conflicts or failures are combined.

Parallelism Requires Independent Work and a Join

An edge label should state a specific relation, direction, domain, range, and relevant constraints. A generic 'related to' edge hides the reasoning the graph is meant to support.

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