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Both are “resource options” covered in Intro &gt; Architecture and Concepts: <https://www.pulumi.com/docs/intro/concepts/resources/options/|https://www.pulumi.com/docs/intro/concepts/resources/options/>

Although it sounds like you may be asking whether there’s an implied dependency relationship between children and parents, and I don’t believe this is the case (insofar as a parent resource would be provisioned before a child, for example). The docs don’t seem to make this clear, but they probably should.

Parent should primarily be used only for component resources: <https://www.pulumi.com/docs/intro/concepts/resources/options/parent/>

The Parent option causes a resource to inherit certain resource options from the parent, useful for components.

The DependsOn option is used for ordering resource provisioning.