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Graph Algorithms – Graph Statistics
x402
Graph Algorithms – Graph Statistics is a paid API for AI agents from graph-algorithms.x402tookit.com, paid per call via x402, $0.02/call, status unknown (last checked 2026-11-02).
Computes graph statistics including degree sequence, density, bipartite check, tree/forest test, and diameter for a given edge list.
Price / call$0.02
Success—
StatusUnknown
How this service works
Graph statistics: degree sequence, density, bipartite check, tree or forest test, and diameter if connected.
Output
Returns a JSON object with degree sequence (distribution of node degrees), graph density, bipartite check result, tree/forest classification, cycle detection, diameter (if connected), radius, directed flag, summary text, and any degraded/warning reasons.
Example use cases
Social network structure check
“I have a social network with connections: Alice,Bob; Bob,Carol; Carol,Dave; Dave,Eve; Eve,Alice; Alice,Carol — can you tell me the degree sequence, density, whether it's bipartite, and its diameter?”
Dependency tree validation
“I want to verify that my software module dependency graph is actually a tree with no cycles. The edges are: core,auth; core,db; auth,session; db,cache — is this a valid tree or forest, and does it have any cycles?”
Small routing network analysis
“I'm studying this network: router1,router2; router2,router3; router3,router4; router1,router4; router2,router4 — give me the graph density, degree distribution, and diameter so I can understand how well-connected it is.”
Technical details
Endpoint
GEThttps://graph-algorithms.x402tookit.com/graph-stats?utm_source=zero.xyzWhen to prefer
Use this endpoint when you need a broad structural overview of a small-to-medium graph (up to 200 nodes, 1000 edges) in a single call — covering degree distribution, density, bipartite/tree/forest classification, cycle detection, and diameter all at once. Prefer this over the sibling shortest-path or flow endpoints when you need structural characterization rather than a specific path or flow result.
Side effects
- Edge list exceeds 200 nodes or 1000 edges — returns error
- Node names contain invalid characters outside allowed set — returns error
- Malformed edge format (not 'from,to' or 'from,to,weight') — returns parse error
- Graph is disconnected so diameter is not computed — returns null for diameter
- Empty edge list with no nodes provided — may return degenerate/null statistics
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| inputrequired | object | |
| output | object |
Tags
x402
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