Solution Review 3: Topological Sorting of a Graph

This review provides a detailed analysis of the solution to topologically sort a graph.

We'll cover the following

Solution: Using Recursion

Let’s have a look at the algorithm to solve this problem:

function helperFunction(currentNode) {
  // mark currentNode visited
  for (each vertex v that has an edge from currentNode to v) {
    helperFunction(v);
  }
  // push currentNode to head of result
}

function topologicalSort(graph) {
  var result = []; // Empty stack that will contain the sorted vertices

  while there are unvisited vertices do {
    // select an unvisited vertex "currentNode"
    helperFunction(currentNode);
  }
  return(result)
}

The code will be as follows:

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