What algorithms does this MCP use?

It uses Kruskal's and Prim's algorithms for finding Minimum Spanning Trees, and a specific function for Maximum Spanning Trees.

Can I find a Maximum Spanning Tree?

Yes, the compute_max_spanning_tree capability is specifically designed to find the tree with the highest total weight.

What format should my data be in?

The capabilities expect an edge list format that includes the source, target, and weight for each connection.

Will it work with Claude or Cursor?

Yes, this MCP works with any MCP-compatible client, including Claude, Cursor, and Windsurf.

Does it only return a single tree?

No, the capabilities can identify if the resulting structure is a single tree or a spanning forest.

What is the difference between Kruskal's and Prim's algorithms?

Kruskal's algorithm sorts all edges by weight and adds them if they don't form a cycle, making it efficient for sparse graphs. Prim's algorithm starts from a specific node and expands the tree by picking the cheapest edge connected to the current tree.

How do I calculate a Maximum Spanning Tree?

You can use the compute_max_spanning_tree capability. It internally negates the edge weights to apply MST logic, effectively finding the set of edges with the highest total weight.

What happens if my graph is disconnected?

If the input graph has multiple components, the capabilities will return a spanning forest. The isForest property in the response will be set to true.

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Connect Minimum Spanning Tree Calculator to your AI

Set it up once and it works in ChatGPT, Claude, Cursor, and any other client you love. It all runs safely in the background, so you can relax and focus on what really matters. Solve complex graph connectivity problems with algorithmic precision.

Ask AI about this Connector

Developed, maintained, and hosted by Vinkius.

MCP VERIFIED · PRODUCTION READY · VINKIUS GUARANTEED

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Works with modern AI clients that support MCP, including ChatGPT, Claude, Cursor, and more.

Your AI does the work. We keep it safe and sound.

No other AI tool gives you this. Your workflow runs in the client you already love, your account stays protected, and you decide what the agent can and cannot do. It is the whole reason to make the switch.

Each Connector lives inside our infrastructure, the same place where your workflow runs. The three things below are already part of it, working quietly in the background so you never have to think about them. Nothing to add, nothing to set up, nothing to worry about.

V8 Isolate01

Each Connector runs inside its own sealed environment.

Each Connector runs inside its own sealed V8 runtime — no access to your files, your system, or other servers. A Connector never sees past its own request.

Kill Switch02

One switch stops every agent. Instantly.

One action deactivates every Connector, revokes every token, and ends every session at once. AI Governance keeps the record.

FinOps per User03

Spending limits that pause instead of surprise.

Every user keeps their own connections and credentials, isolated from everyone else. Anything that would cross your spending limit is held for your approval, not billed.

Three controls, built into the layer your AI connects through.

Curated set · 3 capabilities

We ship only the actions that matter.

Capability set01 / 01

01-03

3 capabilities in this set.

Part of 3 available through Minimum Spanning Tree Service.

01
Compute kruskal mst
This capability uses Kruskal's algorithm to find the Minimum Spanning Tree. It identifies the set of edges with the lowest total weight that connects all nodes without forming cycles.
02
Compute max spanning tree
This capability calculates the Maximum Spanning Tree. It finds the set of edges that provides the highest possible total weight while keeping the graph connected.
03
Compute prim mst
This capability implements Prim's algorithm to build a Minimum Spanning Tree. It grows the tree from a designated starting node by repeatedly picking the cheapest available connection.

Real work

What teams actually run

Network Design

Find the cheapest way to connect a series of cities with fiber optic cables.

Circuit Routing

Determine the minimum wire length needed to connect components on a printed circuit board.

Logistics Optimization

Calculate the most efficient routes to connect distribution hubs in a supply chain.

Cluster Analysis

Use spanning trees to understand the underlying structure of connected data points.

One connector, every AI

Minimum Spanning Tree Service works with the most popular AI clients.

These are the most popular clients, each with a step-by-step guide: one link, set up once, with governance and visibility built in. And because everything runs on the MCP standard, the same connection also works in any other compatible client — nothing to rebuild.

Building your own app? The connector is yours to use.

You don't need a client to put Minimum Spanning Tree Service to work: the same hosted connection plugs into your own applications and agent code, with the same governance on every request. Build with it, chat with it — one connection for both.

Observed, not estimated

699ms average. Fast in production.

Minimum Spanning Tree Service is checked daily against the live service.

Daily averagePeak 860ms

Oct 3Today

Fastest day: 521ms
Slowest day: 860ms
14-day trend: Slowing+11%

Connect your client

One URL. Every client.

Activate the Connector, copy your link, and paste it into the client you already use. 3 capabilities arrive ready to run.

Preview access · not provider authentication

The vk_preview_* token belongs to Vinkius preview infrastructure. It lets Claude discover and display the capabilities of Minimum Spanning Tree Service, so you can see the experience inside your AI.

It does not authenticate your account with Minimum Spanning Tree Service. Actions requiring credentials or live account data may not run until you activate the Connector and authorize the service.

Minimum Spanning Tree Service Connector

You're all set. Choose your MCP client and follow the setup instructions.

Connector linkhttps://edge.vinkius.com/vk_preview_RDp7HdTV6jL7l2yjzgw6M9KqQhoK7Tlqj178gMmL/mcp

Claude Desktop

Follow the steps below to connect in seconds.

1In Claude Desktop, open Settings → Connectors.
2Click “Add custom connector” and paste the connector link above as the remote MCP server URL.
3Click Add and start a new chat — Minimum Spanning Tree Service capabilities are ready to use.

Configuration · claude_desktop_config.jsonCopy

{
  "mcpServers": {
    "minimum-spanning-tree-calculator-mcp": {
      "url": "https://edge.vinkius.com/vk_preview_RDp7HdTV6jL7l2yjzgw6M9KqQhoK7Tlqj178gMmL/mcp"
    }
  }
}

Claude
ChatGPT
Cursor
VS Code
Windsurf
Claude Code
JetBrains
Cline

Step-by-step instructions for each client are in the guide. How to connect

Guided setup for Claude? Set up Minimum Spanning Tree Service in Claude and other AIs

See all the AI clients this connector works with ↑

Who it's for

Built for the work Minimum Spanning Tree Service owners hand off.

This MCP is built for professionals working with network topology, graph theory, or optimization problems.

01
Network Engineers
They hand off edge lists to find the most cost-effective way to connect hardware nodes.
02
Data Scientists
They use it to perform graph-based analysis and connectivity testing on datasets.
03
Operations Researchers
They use these algorithms to solve optimization problems in logistics and routing.

FAQ

Questions Minimum Spanning Tree Service owners ask.

01
What algorithms does this MCP use?
It uses Kruskal's and Prim's algorithms for finding Minimum Spanning Trees, and a specific function for Maximum Spanning Trees.
02
Can I find a Maximum Spanning Tree?
Yes, the compute_max_spanning_tree capability is specifically designed to find the tree with the highest total weight.
03
What format should my data be in?
The capabilities expect an edge list format that includes the source, target, and weight for each connection.
04
Will it work with Claude or Cursor?
Yes, this MCP works with any MCP-compatible client, including Claude, Cursor, and Windsurf.
05
Does it only return a single tree?
No, the capabilities can identify if the resulting structure is a single tree or a spanning forest.
06
What is the difference between Kruskal's and Prim's algorithms?
Kruskal's algorithm sorts all edges by weight and adds them if they don't form a cycle, making it efficient for sparse graphs. Prim's algorithm starts from a specific node and expands the tree by picking the cheapest edge connected to the current tree.
07
How do I calculate a Maximum Spanning Tree?
You can use the compute_max_spanning_tree capability. It internally negates the edge weights to apply MST logic, effectively finding the set of edges with the highest total weight.
08
What happens if my graph is disconnected?
If the input graph has multiple components, the capabilities will return a spanning forest. The isForest property in the response will be set to true.

Explore

More in Mathematics

Connect Minimum Spanning Tree Service to Claude, Cursor, ChatGPT & more

Your AI does the work. We keep it safe and sound.

Each Connector runs inside its own sealed environment.

One switch stops every agent. Instantly.

Spending limits that pause instead of surprise.

We ship only the actions that matter.

01-03

Compute kruskal mst

Compute max spanning tree

Compute prim mst

What teams actually run

Network Design

Circuit Routing

Logistics Optimization

Cluster Analysis

Building your own app? The connector is yours to use.

Minimum Spanning Tree Service Connector

Claude Desktop

Network Engineers

Data Scientists

Operations Researchers

What algorithms does this MCP use?

Can I find a Maximum Spanning Tree?

What format should my data be in?

Will it work with Claude or Cursor?

Does it only return a single tree?

What is the difference between Kruskal's and Prim's algorithms?

How do I calculate a Maximum Spanning Tree?

What happens if my graph is disconnected?

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