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Find the routing table of each node for \( h = 2 \) using the Bellman-Ford algorithm. Use costs at each node for \( h = 1 \) (i.e., \( L_1(\cdot) \)), which were found in class.

Answer :

1. Using the Bellman-Ford algorithm, we will find the routing table for each node A and B for h = 2.

2. The costs at each node for h = 1, which were discussed in class, will be used in the calculations.

The Bellman-Ford algorithm is a shortest path algorithm used to determine the best path between nodes in a network. In this case, we are tasked with finding the routing table for nodes A and B when h = 2.

To begin, we need the costs at each node for h = 1, which were provided in class. These costs represent the distances between nodes at the first hop. We will use these costs as a starting point for our calculations.

Using the Bellman-Ford algorithm, we iteratively update the routing table for each node until we reach the desired h value, which in this case is h = 2. At each iteration, we compare the current cost of reaching a node with the cost of reaching it through its neighboring nodes. If a shorter path is found, we update the routing table with the new cost and the corresponding next hop node.

By applying the Bellman-Ford algorithm with the given costs for h = 1, we can determine the routing table for each node A and B at h = 2. The routing table will provide the optimal paths and costs to reach other nodes in the network.

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Final answer:

Explanation of creating routing tables using Bellman-Ford algorithm for nodes A and B at h = 2 based on costs at h = 1.

Explanation:

Bellman-Ford Algorithm for Routing Tables at h = 2

Node A:

  • Cost to reach B at h = 1 + Cost from B to A = L1(B) + L1(B to A)

Node B:

  • Cost to reach A at h = 1 + Cost from A to B = L1(A) + L1(A to B)