How to find all simple cycles in an undirected graph efficiently?

Can someone tell me, how to find those points which are forming cycle in a graph. Ex: let's a graph has following edges: 0 1 1 2 2 3 3 4 5 2 4 6 6 5 so here, 2,3,4,5,6 are points which are forming cycles in graph.

What is average number of cycles in an undirected ordered graph of size n? I've tried finding sum of number of cycles in all sorts of a graph of size n but I couldn't find ...show more

I would like an algorithm or pointers to further research on how to find a fixed length path between two nodes in a weighted undirected graph.

Given a graph, how can I find a path of length X between two nodes in the graph. The path should ideally visit an edge no more than once.

Some of the edges are undirected, some of them are directed.. That being the case, what is the best algorithm to find all the simple paths in a graph?

I remember reading somewhere that this is a NP hard problem. But what if I add an aditional clause that guarantees that even though there might be a negative cycle in the graph, there exists a path that doesn't go through the negative cycle?

I need to solve following problem. I have undirected graph, source node S, sink node T, flow X to send from S to T, capacity C(i,j) of each vertex in undirected graph and price P(i,j) for single unit of flow for each vertex. Task is to find Min-Cost...

I want to carry out Graph Clustering in a huge undirected graph with millions of edges and nodes. Graph is almost clustered with  different clusters joined together only by some nodes(kind of ambiguous  nodes which can relate to multiple clusters). There...

What is the most efficient algorithm to decompose a Strongly Connected Component of a directed graph into ALL of the constituent cycles? I solved this in a brute-force manner (Do DFS within the SCC from "every" vertex, find cycles by detecting...