Internal Path Length

Discussion in 'Homework Help' started by zulfi100, Jan 31, 2016.

  1. zulfi100

    Thread Starter Member

    Jun 7, 2012
    I am reading a book, i am attaching its text again. Its providing a formula for calculating the internal path length :

    Above is book formula in Latex
    Above is the example of Latex given in Tutorial
    (Sorry Latex not working)
    I mean
    Summation(i-1) li
    but i am not able to find the internal path length correctly using the attached BST.
    I cant verify the internal path Length for level 3 (note root is at level 1) using the formula:

    Summation (i-1) li where li is the number of nodes on level I, root is at level 1.

    For level 1:

    Summation (1-1) *1 = 0 (correct)

    For level 2:

    Summation[(1-1) * 1 + (2-1) *2] = 2 (correct)

    For level 3:

    Summation [(1-1) * 1 +{ (2-1) *2} + {(3-1) * 4}] = 10 (Not correct, it should be six from figure)

    Somebody please guide me.

    Last edited: Jan 31, 2016
  2. WBahn


    Mar 31, 2012
    It's very hard to figure out what you are asking. What does T_S = 44 kHz have to do with any of this?

    How do you figure that it should be six?

    How many nodes are there in a tree of height 3? What is the path length from the root to each of those nodes? What is the sum of all of those path lengths?