Math & Numbers
Graph Shortest Path (Dijkstra Step-By-Step)
Dijkstra with a full per-iteration trace: settled nodes, relaxations, distance table, and the final path; undirected or directed, negative weights rejected, unreachable targets reported.
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Quick start
Call this tool from your code in three languages.
cURL
curl -X POST 'https://api.elysiatools.com/en/api/tools/graph-shortest-path' \
-H 'Content-Type: application/json' \
-d '{"edges":"A B 4\nA C 2\nB C 5\nB D 10\nC E 3\nD E 4\nD F 11\nE F 8","source":"A","target":"F","directed":false,"decimalPlaces":2}'API reference
Send a POST request with your inputs as JSON. File parameters require a separate upload first.
Endpoint
HTTP
POST https://api.elysiatools.com/en/api/tools/graph-shortest-pathParameters
| Name | Type | Required | Description |
|---|---|---|---|
| edges | textarea | Yes | One edge per line: two node names (1–8 letters/digits) and a non-negative weight. |
| source | text | Yes | — |
| target | text | Yes | — |
| directed | checkbox | No | When checked, each edge only leads from the first node to the second; otherwise the graph is undirected. |
| decimalPlaces | number | No |
MCP integration
Add this tool to your Model Context Protocol server so AI agents can list and call it.
Server configuration
Add this block to your MCP client configuration:
mcp.json
{
"mcpServers": {
"elysiatools-graph-shortest-path": {
"name": "graph-shortest-path",
"description": "Dijkstra with a full per-iteration trace: settled nodes, relaxations, distance table, and the final path; undirected or directed, negative weights rejected, unreachable targets reported.",
"baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=graph-shortest-path",
"command": "",
"args": [],
"env": {},
"isActive": true,
"type": "sse"
}
}
}List available tools
After connecting to the SSE endpoint, list the exposed tools:
tools/list
{
"jsonrpc": "2.0",
"id": 1,
"method": "tools/list"
}Call this tool
Invoke the tool by its id, passing arguments built from its parameters:
tools/call
{
"jsonrpc": "2.0",
"id": 2,
"method": "tools/call",
"params": {
"name": "graph-shortest-path",
"arguments": {
"edges": "A B 4\nA C 2\nB C 5\nB D 10\nC E 3\nD E 4\nD F 11\nE F 8",
"source": "A",
"target": "F",
"directed": false,
"decimalPlaces": 2
}
}
}Chain multiple tools in one session with a comma-separated toolId list, e.g. /mcp/sse?toolId=png-to-webp,jpg-to-webp,gif-to-webp (max 20).
Questions or issues? Contact [email protected]