Finding bridges in graph without recursion
You want to make a "stack frame" structure
struct Frame {
Frame(int v, int p, int i, Label label);
int v;
int p;
int i;
};
// constructor here
and, as you say, a stack<Frame>
. Between all of these fields, it's possible to simulate the call stack (untested code to give the general idea).
void dfs(int v, int p = -1) {
stack<Frame> st;
st.push(Frame(v, p, 0));
do {
Frame fr(st.top());
st.pop();
v = fr.v;
p = fr.p;
int i(fr.i);
if (i > 0) {
int to(g[v][i - 1]);
fup[v] = min(fup[v], fup[to]);
if (fup[to] > tin[v]) { printf("%d %d", v, to); }
if (i == g[v].size()) { continue; }
} else if (i == 0) {
used[v] = true;
tin[v] = fup[v] = timer++;
}
int to(g[v][i]);
if (to == p) { continue; }
if (used[to]) {
fup[v] = min(fup[v], tin[to]);
} else {
st.push(Frame(to, v, 0));
}
st.push(Frame(v, p, i + 1));
} while (!st.empty());
}