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12. Find the following vertex/vertices in the rooted tree illustrated below. a) Root b) Internal vertices c) Leaves d) Children of n e) Parent of e f) Siblings of k g) Proper ancestors of q h) Proper descendants of b Figure 1 13. In which order are the vertices of ordered rooted tree in Figure 1 is visited using preorder, inorder and postorder.

          12. Find the following vertex/vertices in the rooted tree illustrated below.

a) Root
b) Internal vertices
c) Leaves
d) Children of n
e) Parent of e
f) Siblings of k
g) Proper ancestors of q
h) Proper descendants of b

Figure 1

13. In which order are the vertices of ordered rooted tree in Figure 1 is visited using preorder, inorder and postorder.

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12. Find the following vertex/vertices in the rooted tree illustrated below.

a) Root
b) Internal vertices
c) Leaves
d) Children of n
e) Parent of e
f) Siblings of k
g) Proper ancestors of q
h) Proper descendants of b

Figure 1

13. In which order are the vertices of ordered rooted tree in Figure 1 is visited using preorder, inorder and postorder.

Added by Eric L.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

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Solved by Expert Donna Densmore

11/14/2022

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Find the following vertex/vertices in the rooted tree illustrated below. Root Internal vertices Leaves Children of n Parent of e Siblings of k Proper ancestors of q Proper descendants of b In which order are the vertices of ordered rooted tree in Figure 1 is visited using preorder, inorder and postorder.

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Transcript

00:01 Following, let's find the tree, let's find the following definitions.

00:05 First of all, what is the root? well, the root is where it all begins, and that's going to be here at a.

00:10 So that's our root.

00:13 Next, it wants to know the internal vertex, or the internal vertices.

00:20 And that's going to be following those that have children.

00:26 So what's going to have children is going to be here and here.

00:30 Those are going to be your internal vertices.

00:32 And so those are the following.

00:32 Those are the following.

00:32 Those are the following.

00:32 The letters b and d.

00:35 I'm going back and forth between the picture in the question.

00:39 So next i want to know what the leaves are.

00:41 They are vertexes without children.

00:44 So without children, and we're going to be looking at the leaves that are going to be, let's do those in green.

00:49 So we have here's a leaf, no children, no children, no children.

00:53 All of these in green are going to be your leaves, which makes sense.

00:58 It's like the leaves of a tree.

00:59 So then we have the children of n.

01:05 So let's find n on our picture.

01:08 And n is right here.

01:13 And so there is children that are going to be r and s...

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