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How to use topological sorting in iterative sorting?


Asked by Selah Estes on Dec 12, 2021 FAQ



An easy way to make that happen in the iterative topological sort is to initialize q to list (graph) (a list of all the graph's keys) instead of a list with only a single starting node.
Just so,
For example, a topological sorting of the following graph is “5 4 2 3 1 0”. There can be more than one topological sorting for a graph. For example, another topological sorting of the following graph is “4 5 2 3 1 0”. The first vertex in topological sorting is always a vertex with in-degree as 0 (a vertex with no incoming edges).
Similarly, 1. – We can validate that both orders for the tasks are topological sorts by checking if each time a node is removed it has zero in-degree. – The topological sorts from both algorithms are obviously different in this case. – The topological sort is therefore not unique, and there can be many different ones. 2.
And,
Topological sorting for D irected A cyclic G raph (DAG) is a linear ordering of vertices such that for every directed edge uv, vertex u comes before v in the ordering. Topological Sorting for a graph is not possible if the graph is not a DAG. For example, a topological sorting of the following graph is “5 4 2 3 1 0?.
Moreover,
Topological Sorting vs Depth First Traversal (DFS): In DFS, we print a vertex and then recursively call DFS for its adjacent vertices. In topological sorting, we need to print a vertex before its adjacent vertices. For example, in the given graph, the vertex ‘5’ should be printed before vertex ‘0’, but unlike DFS,...