Explain the Ford-Bellman algorithm for shortest paths in a network.

The Ford-Bellman algorithm is used to find the shortest path between two nodes in a network.

The algorithm works by initially setting the distance from the starting node to all other nodes as infinity, except for the starting node itself which is set to 0. Then, for each node, the algorithm checks all of its neighbouring nodes and updates their distances if a shorter path is found. This process is repeated until no more updates can be made.

The algorithm can be implemented using the following steps:

1. Set the distance from the starting node to all other nodes as infinity, except for the starting node itself which is set to 0.
2. For each node, check all of its neighbouring nodes and update their distances if a shorter path is found. This can be done using the following formula:

distance to neighbour = distance to current node + weight of edge between current node and neighbour

3. Repeat step 2 for all nodes in the network until no more updates can be made.
4. The shortest path from the starting node to any other node can be found by tracing back from the destination node to the starting node using the previous node information stored during the algorithm.

The time complexity of the Ford-Bellman algorithm is O(|V||E|), where |V| is the number of nodes and |E| is the number of edges in the network. This makes it less efficient than other algorithms such as Dijkstra's algorithm, but it can handle negative edge weights.