Shortest Path and MST

Implement a graph class with at least:

  • a function to add a new node to the graph (addNode(nodeName))
  • a function to add a new path between two nodes of the graph (addPath(source, destination))
  • a function for a shortest path algorithm (shortestPath(source, destination))
  • a function for a minimum spanning tree algorithm (example minSpanTree()).

Use the Java ArrayList and LinkedList classes to solve this problem

Analyze the complexity of all of your graph behaviors

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