- graph - What is a Topological Sort - Stack Overflow
Topological Sort means you are given a list of jobs and list of prerequisites and you have to figure out the ordering of jobs jobs = [1,2,3] prerequisites = [[1,2], [1, 3], [3,2]] result = [1,3,2] should be the order in which jobs should execute here [1,2] signifies that job 2 cannot be started until job 1 is completed (job 1 is a prerequisite)
- . net - Topological Sorting using LINQ - Stack Overflow
I want to sort this list in the same way as in this question As correctly answered there, this is known as topological sorting There's a reasonably simple known algorithm to solve the problem I want a LINQ-like implementation of it I already tried to use OrderBy extension
- Topological sort with support for cyclic dependencies
The sort takes a graph and produces a sorted list of nodes During the operation of the sort a dictionary is maintained which maps every node onto one of three values: alive, dead and undead An alive node has yet to be processed
- Is there a difference between dfs and topological sort? Can topological . . .
Topological sort is a DFS-based algorithm on a directed acyclic graph (DAG) Topological ordering is a linear ordering of vertices such that for every directed edge uv, vertex u comes before v in the ordering A topological ordering is possible if and only if the graph has no directed cycles But DFS can be performed on directed or undirected
- deceptively simple implementation of topological sorting in python
In fact, i guess a more general question could be something like given the set of minimal algorithms, {iterative_dfs, recursive_dfs, iterative_bfs, recursive_dfs}, what would be their topological_sort derivations? Although that would make the question more long complex, so figuring out the topological_sort out of iterative_dfs is good enough
- Detecting cycles in Topological sort using Kahns algorithm (in degree . . .
Each time we remove a node from q we add it to the final topological sort list result Step 5 Detecting Cycle with Khan's Algorithm : If there is a cycle in the graph then result will not include all the nodes in the graph, result will return only some of the nodes
- Does Tarjans SCC algorithm give a topological sort of the SCC?
One method of finding a topological sort is performing a DFS on a graph and keeping track of the exit order The exit order of these nodes in Tarjan's SCC algorithm provide a topological sort Donald Knuth even mentions it in an interview when talking about Tarjan's SCC algorithm, which he says is one of his favorite:
- How do I find a cycle in a directed graph using topological sort?
I wasn't clear enough: In order to sort topologically, you run a depth-first walk ("DFW", not DFS, as there's no searching involved), and only emit the black vertices in order if you don't find a cycle Hence, the DFW both ensures your graph is acyclic and sorts topologically at the same time
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