Below is my code to detect cycle in an undirected graph. Could anyone please review and let me know if I have taken care of all the cases?

The basic idea is to use DFS (non-recursive using stack) and check if already visited vertices are found in the stack.

bool dfsDetectCycle(int vertex, int visited[10]) {
    stack<int> s;


    while (!s.empty()) {
        int np_vertex =;
        // visit while poping and check visited
        if (visited[np_vertex]) {
            // if already visited means there is a cycle
            return true;
        visited[np_vertex] = 1;
        cout << np_vertex << "\t";

        // Graph with Adjacency Matrix
        if (!isAdjList) {
            for (int j = 0; j < v; ++j)
                // below !visited[j] is needed to exclude previously visited vertices as well as to exclude parent node of currently in progress vertex
                if (adjMatrix[np_vertex][j] && !visited[j]) {
        // Graph with Adjacency List
        else {
            vector<int>::iterator it = adjList[np_vertex].begin();
            for (; it != adjList[np_vertex].end(); ++it)
                if (!visited[*it])
    return false;

bool hasCycle() {
    if (empty())
        return false;
    int visited[10] = {0};
    for (int i = 0; i < v; ++i) {
        if (!visited[i]) {
            if (dfsDetectCycle(i, visited))
                return true;
    return false;
  • Could you maybe make your code example fully self-contained? For instance, I wonder what the data structure representing a graph looks like. – Juho Apr 13 '16 at 16:16
up vote 2 down vote accepted

I think your implementation of the logic is fine. But the variable "isAdjList" should be defined for each of the graph for which you are going to detect cycles . Make sure that you have either an adjacent list or an adjacent matrix for a particular graph and not both.

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