Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?

No annotations are provided, so the description carries the full disclosure burden, and it discloses nothing: not whether the operation is a read, what it computes (directed vs undirected matrix?), or what it returns. This is behaviorally opaque.

Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.

Is the description appropriately sized, front-loaded, and free of redundancy?

The text is short, but brevity here reflects under-specification rather than conciseness: it conveys zero information, so the sentence does not earn its place.

Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.

Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?

With no annotations, no output schema, and a meaningless description, an agent cannot know what an adjacency matrix result looks like or how 'edges' should be formatted. The definition is entirely inadequate for correct invocation.

Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.

Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?

Schema description coverage is 100% (the single 'edges' parameter is documented as 'Edges to process'), so the baseline of 3 applies even though the description adds no parameter meaning. The description does not compensate with format or syntax details, but the schema is nominally complete.

Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.

Does the description clearly state what the tool does and how it differs from similar tools?

The description 'Adjacency Matrix: Adjacency Matrix' is a pure tautology that restates the tool name without stating a verb or explaining what computation is performed. It gives no differentiation from the many graph-theory siblings such as x402-graph-degrees, x402-graph-edge-count, or x402-connected-components.

Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.

Does the description explain when to use this tool, when not to, or what alternatives exist?

There is no guidance on when to use this tool, what input it expects, or which sibling to choose instead. An agent has no basis for selecting it over any other graph utility.

Agents often have multiple tools that could apply. Explicit usage guidance like "use X instead of Y when Z" prevents misuse.