Understanding Tree Structures

The video tutorial explains the structure of a tree with vertex E as the root. It details the relationships between vertices, including parent, child, and sibling connections. The tutorial also explores which vertices have grandchildren, concluding that only the root vertex E has grandchildren. Each vertex's relationships are analyzed in detail, providing a comprehensive understanding of tree structures.

What is the role of the root in a tree structure?

• It is the vertex with the most siblings.

• It is the vertex with no parent.

• It is the vertex with no children.

• It is the vertex with the most children.

Which vertex is the parent of vertex A?

• Vertex D

• Vertex B

• Vertex C

• Vertex E

What is the relationship between vertices B and F?

• They are unrelated.

• They are siblings.

• They are parent and child.

• They are grandparent and grandchild.

Which vertices are siblings of vertex C?

• Vertices A and D

• Vertices H and I

• Vertices B and E

• Vertices F and G

What is the parent of vertex D?

• Vertex E

• Vertex C

• Vertex B

• Vertex A

How many children does vertex E have?

• Four

• Two

• One

• Three

Which vertices are children of vertex F?

• Vertices J, K, and L

• Vertices A, B, and C

• Vertices D, E, and F

• Vertices G, H, and I

Who is the parent of vertex G?

• Vertex E

• Vertex I

• Vertex H

• Vertex F

Which vertices are siblings of vertex H?

• Vertices A and B

• Vertices C and D

• Vertices G and I

• Vertices E and F

Does any vertex other than E have grandchildren?

• Yes, vertex B has grandchildren.

• Yes, vertex F has grandchildren.

• Yes, vertex G has grandchildren.

• No, only vertex E has grandchildren.