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amichae2

Math MCP Server

by amichae2

graph_metrics

Compute common graph-theoretic summary metrics from a list of edges and optional weights.

Instructions

Compute common graph-theoretic summary metrics.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
edgesYes
weightsNo
metricsNo
edge_weights_attrNoweight

Output Schema

TableJSON Schema
NameRequiredDescriptionDefault

No arguments

Behavior2/5

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

With no annotations, the description carries full burden but only says 'compute'. No mention of safety (read-only?), data format expectations, or performance. Very limited transparency.

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

Conciseness2/5

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

Extremely concise but at the expense of essential information. A single sentence that lacks detail; not a model of valuable conciseness.

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

Completeness1/5

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

Given the complexity (4 params, graph domain) and presence of an output schema, the description is woefully incomplete. No explanation of available metrics, edge format, or output structure.

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

Parameters1/5

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

Schema description coverage is 0%, and the description adds no meaning for parameters like 'edges', 'weights', 'metrics', or 'edge_weights_attr'. Fails to clarify input formats or accepted values.

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

Purpose4/5

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

The description clearly states the tool computes 'graph-theoretic summary metrics', using a specific verb and resource. However, it does not list which metrics or distinguish from sibling tools like shortest_path or spanning_tree.

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

Usage Guidelines2/5

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

No guidance on when to use this tool versus alternatives (e.g., shortest_path, graph_create). No conditions or exclusions mentioned.

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

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