Thursday, 12 February 2015

Depth-first

Pre-order

preorder(node)
  if node == null then return
  visit(node)
  preorder(node.left) 
  preorder(node.right)
iterativePreorder(node)
  parentStack = empty stack
  while (not parentStack.isEmpty() or node ≠ null)
    if (node ≠ null) 
      visit(node)
      if (node.right ≠ null) parentStack.push(node.right) 
      node = node.left   
    else     
      node = parentStack.pop()

In-order

inorder(node)
  if node == null then return
  inorder(node.left)
  visit(node)
  inorder(node.right)
iterativeInorder(node)
  parentStack = empty stack
  while (not parentStack.isEmpty() or node ≠ null)
    if (node ≠ null)
      parentStack.push(node)
      node = node.left
    else
      node = parentStack.pop()
      visit(node)
      node = node.right

Post-order

postorder(node)
  if node == null then return
  postorder(node.left)
  postorder(node.right)
  visit(node)
iterativePostorder(node)
  parentStack = empty stack  
  lastnodevisited = null 
  while (not parentStack.isEmpty() or node ≠ null)
    if (node ≠ null)
      parentStack.push(node)
      node = node.left
    else
      peeknode = parentStack.peek()
      if (peeknode.right ≠ null and lastnodevisited ≠ peeknode.right) 
        /* if right child exists AND traversing node from left child, move right */
        node = peeknode.right
      else
        visit(peeknode)
        lastnodevisited = parentStack.pop() 

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