PairingHeap PairingHeap is a pure Ruby priority queue implementation using a pairing heap as the underlying data structure. While a pairing heap is asymptotically less efficient than the Fibonacci heap, it is usually faster in practice. This makes it a popular choice for Prim's MST or Dijkstra's algorithm implementations. PairingHeap is currently being used as the priority queue data structure in RGL (https://github.com/monora/rgl/). Also implementation without priority change support is provided (SimplePairingHeap), while the asymptotical complexity of the methods stay the same, bookkeeping of elements is not needed making, the constant smaller.