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amichae2

Math MCP Server

by amichae2

graph_create

Create graphs from specifications, edge lists, or adjacency matrices for graph theory analysis.

Instructions

Create a graph from a named specification, edge list, or adjacency matrix.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
specificationYes
graph_typeNoundirected
nNo
edgesNo
adjacencyNo
edge_weightsNo

Output Schema

TableJSON Schema
NameRequiredDescriptionDefault

No arguments

Behavior2/5

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

No annotations are provided, so the description carries full burden. It does not disclose side effects, permissions, rate limits, or what happens with existing graphs. Only a brief action statement.

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

Conciseness3/5

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

The description is a single sentence, making it concise but too terse for a tool with 6 parameters. It lacks structured information, though it front-loads the purpose.

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

Completeness2/5

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

The description omits important details like parameter constraints (e.g., mutually exclusive inputs), the meaning of 'specification', and does not reference the output schema to clarify return values.

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

Parameters2/5

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

Schema description coverage is 0%, so the description must compensate. It mentions three input methods but does not map them to specific parameters (edges, adjacency, specification) nor explain n and edge_weights. Incomplete parameter guidance.

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 states it creates a graph from three input methods, which clearly identifies the action and resource. However, 'named specification' is ambiguous and could be clarified.

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 sibling graph tools like graph_metrics, shortest_path, etc. No exclusions or alternatives are 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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