What algorithms are used for the calculations?

The server uses the Edmonds-Karp algorithm, which is a BFS-based implementation of the Ford-Fulkerson method, to ensure finding the shortest augmenting paths.

How can I use this for bipartite matching?

You can use the `compute_bipartite_matching` tool by providing two sets of nodes and their possible connections. The tool internally transforms the problem into a flow network to find the maximum number of unique pairs.

Can this tool identify bottlenecks in my network?

Yes, by using `find_min_cut`, you can identify the specific edges that constitute the minimum cut, which are the primary bottlenecks limiting flow from your source to your sink.

Network Flow Calculator MCP Connector for Claude

A+

Solve maximum flow, minimum cut, and bipartite matching problems using Edmonds-Karp.

3 tools Official Updated Oct 1, 2026 Official Vinkius Partner

More Details Connect to Claude

The Network Flow Calculator is a specialized computational tool designed to solve complex network topology problems. By utilizing the Edmonds-Karp algorithm, it provides precise solutions for finding the maximum possible flow between a source and a sink in a directed graph. Beyond simple flow calculations, this MCP server allows you to identify critical bottlenecks via find_min_cut, which reveals the edges that limit network capacity. Additionally, you can solve assignment and scheduling problems using compute_bipartite_matching by reducing bipartite matching tasks to maximum flow problems. This tool is ideal for analyzing transportation networks, data routing capacities, and resource allocation scenarios.

max-flowmin-cutbipartite-matchinggraph-theoryedmonds-karp

Connect to Claude

Subscribe on Vinkius, then add this connector to Claude.ai or Claude Code.

① Claude.ai (web app)

Go to Settings → Connectors → Add custom connector
Paste the MCP endpoint URL below

https://edge.vinkius.com/vk_preview_RdnwvPuYcoCX6OJTAFit8YmeHqPSTC3vBsEOyNwx/mcp

② Claude Code (terminal)

claude mcp add --transport http network-flow-calculator https://edge.vinkius.com/vk_preview_RdnwvPuYcoCX6OJTAFit8YmeHqPSTC3vBsEOyNwx/mcp

③ Claude Desktop

Add to claude_desktop_config.json:

{
  "mcpServers": {
    "network-flow-calculator": {
      "url": "https://edge.vinkius.com/vk_preview_RdnwvPuYcoCX6OJTAFit8YmeHqPSTC3vBsEOyNwx/mcp"
    }
  }
}

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