Writing an Algorithm to Check Depth of Leaves in an Ordered Tree

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SUMMARY

This discussion focuses on developing an algorithm to determine if all leaves in an ordered tree, constructed from a binary tree, are at the same depth. The participants clarify that an ordered tree can have multiple children per node, unlike a binary tree, which is limited to two. Key points include the method for traversing the tree using pre-order traversal and the importance of tracking depth during traversal to identify leaf nodes. The algorithm involves a recursive approach to check leaf depth consistency across the tree.

PREREQUISITES
  • Understanding of tree data structures, specifically ordered trees and binary trees.
  • Familiarity with tree traversal techniques, including pre-order, in-order, and post-order traversal.
  • Basic knowledge of recursion and how it applies to tree algorithms.
  • Experience with programming concepts to implement algorithms in a language of choice.
NEXT STEPS
  • Implement a recursive algorithm to traverse an ordered tree and check leaf depth.
  • Study the differences between ordered trees and binary search trees to enhance understanding.
  • Learn about depth-first search (DFS) techniques and their application in tree traversal.
  • Explore examples of tree traversal algorithms in programming languages such as Python or Java.
USEFUL FOR

Software developers, computer science students, and anyone interested in algorithms related to tree data structures and their traversal methods.

  • #61
I like Serena said:
I'm not sure what you mean... :confused:

I meant that that what we found isn't the actual depth, but the actual depth+1..
Or am I wrong? (Thinking)
 
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  • #62
evinda said:
I meant that that what we found isn't the actual depth, but the actual depth+1..
Or am I wrong? (Thinking)

That's why we always need to consider if anything should be plus or minus 1! (Rofl)
 
  • #63
I like Serena said:
That's why we always need to consider if anything should be plus or minus 1! (Rofl)

(Bigsmile) (Wasntme) (Whew)

So, do we have to change something? (Thinking)
 
  • #64
evinda said:
(Bigsmile) (Wasntme) (Whew)

So, do we have to change something? (Thinking)

What is it that you think might need to be changed? (Wondering)
 
  • #65
I like Serena said:
What is it that you think might need to be changed? (Wondering)

Do we have to increment the depth, maybe, only when the child of the node we are looking at is not NULL? (Thinking)
 
  • #66
evinda said:
Do we have to increment the depth, maybe, only when the child of the node we are looking at is not NULL? (Thinking)

It seems to me that makes the algorithm unnecessarily complicated.
Better would be to initialize depth to -1 instead of 0. (Thinking)

Note that if we execute the algorithm on a non-existent (NULL) tree, it should work consistently, meaning it should find a depth of -1. (Nerd)
 

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