templates/graph-traversal.cpp
compilable
$cat templates/graph-traversal
Graph Traversal
DFS and BFS with bipartite check, cycle detection, topological sort, and path reconstruction.
#dfs#bfs#bipartite#topological-sort#cycle-detection
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$cat source_code/
cpp
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#include <bits/stdc++.h>
using namespace std;
const int MAXN = 2e5 + 5;
vector<int> adj[MAXN];
bool vis[MAXN];
int dep[MAXN], par[MAXN], color[MAXN], deg[MAXN];
int n, m;
void dfs(int u, int p = -1, int d = 0) {
vis[u] = true; par[u] = p; dep[u] = d;
for (int v : adj[u])
if (!vis[v]) dfs(v, u, d + 1);
}
int bfs(int src, int dest) {
memset(vis, false, sizeof vis);
memset(dep, 0x3f, sizeof dep);
queue<int> q;
q.push(src); vis[src] = true; dep[src] = 0;
while (!q.empty()) {
int u = q.front(); q.pop();
for (int v : adj[u]) {
if (!vis[v]) {
vis[v] = true; par[v] = u;
dep[v] = dep[u] + 1;
q.push(v);
}
}
}
return dep[dest] >= 0x3f3f3f3f ? -1 : dep[dest];
}
bool isBipartite() {
memset(color, 0, sizeof color);
for (int i = 1; i <= n; i++) {
if (color[i]) continue;
queue<int> q;
q.push(i); color[i] = 1;
while (!q.empty()) {
int u = q.front(); q.pop();
for (int v : adj[u]) {
if (!color[v]) { color[v] = -color[u]; q.push(v); }
else if (color[v] == color[u]) return false;
}
}
}
return true;
}
bool hasCycle(int u, int p = -1) {
vis[u] = true;
for (int v : adj[u]) {
if (!vis[v]) { if (hasCycle(v, u)) return true; }
else if (v != p) return true;
}
return false;
}
vector<int> topoSort() {
vector<int> order;
int indeg[MAXN] = {};
for (int u = 1; u <= n; u++)
for (int v : adj[u]) indeg[v]++;
queue<int> q;
for (int i = 1; i <= n; i++)
if (!indeg[i]) q.push(i);
while (!q.empty()) {
int u = q.front(); q.pop();
order.push_back(u);
for (int v : adj[u])
if (--indeg[v] == 0) q.push(v);
}
return order;
}75 linesutf-8
$cat explanation_notes.md
notes_viewer --renderedmarkdown (math enabled)
Graph Traversal
Fundamental DFS and BFS with common graph utilities.