JGraphT has a nice Fibonacci Heap class. How can I use it to implement Prim's minimum spanning tree algorithm?
Java: Prim's with Fibonacci heap? (JGraphT)
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You'd have to write a wrapper class to rename the methods, since (from a cursory look through the JGraphT Javadocs) it doesn't looks like these developers implemented the Queue interface. So you have to write a method called offer that just calls insert, and so on. (Since this is open-source, you should consider making your edits right in the class itself, and sending the project your code when you're done.)