A tree is a special type of graph that doesn't contain any cycles. In a tree, any two nodes are connected by exactly one path.

For a tree with N nodes:

Step 1: Understand that a tree with just one node (N=1) has zero edges. This is because an edge is a line connecting two nodes, and there's only one node.

Step 2: For each additional node added to the tree, one edge is also added to connect it to the tree. This is because in a tree, every node is connected to the tree by exactly one edge.

Step 3: Therefore, a tree with N nodes has N-1 edges.

So, a tree consisting of N nodes will have N-1 edges.

Question

A tree is a special type of graph that doesn't contain any cycles. In a tree, any two nodes are connected by exactly one path.

For a tree with N nodes:

Step 1: Understand that a tree with just one node (N=1) has zero edges. This is because an edge is a line connecting two nodes, and there's only one node.

Step 2: For each additional node added to the tree, one edge is also added to connect it to the tree. This is because in a tree, every node is connected to the tree by exactly one edge.

Step 3: Therefore, a tree with N nodes has N-1 edges.

So, a tree consisting of N nodes will have N-1 edges.

Knowee AI · Accepted Answer

A tree is a special type of graph that doesn't contain any cycles. In a tree, any two nodes are connected by exactly one path.

For a tree with N nodes:

Step 1: Understand that a tree with just one node (N=1) has zero edges. This is because an edge is a line connecting two nodes, and there's only one node.

Step 2: For each additional node added to the tree, one edge is also added to connect it to the tree. This is because in a tree, every node is connected to the tree by exactly one edge.

Step 3: Therefore, a tree with N nodes has N-1 edges.

So, a tree consisting of N nodes will have N-1 edges.

How many edges will a tree consisting of N nodes have?

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