how to mark all the nodes that are in a cycle in a graph?
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You can use degree of nodes like doing BFS. The detail is in this post
Thx,i get it.
I assume that you are dealing with directed graphs. How about finding strongly connected components? Clearly, any cycle must be in some SCC and the nodes in a SCC (with more than 1 node) are in a cycle by definition of a strongly connected component. So, you can just dump those SCCs with one node only. And mark the nodes in the rest of the SCCS.
Thx ,your post was really helpful.
Find all bridges in the graph, a vertex is in a cycle iff atleast one of the adjacent edge is not a bridge.