#define _USE_MATH_DEFINES
#include <bits/stdc++.h>

#define rep(i, n) for (int i = 0; i < (n); ++i)
#define reps(i, n) for (int i = 1; i <= (n); ++i)
#define repd(i, n) for (int i = (n)-1; i >= 0; --i)
#define repds(i, n) for (int i = (n); i > 0; --i)
#define loop(i, x, n) for (int i = (x); i < (n); ++i)
#define loops(i, x, n) for (int i = (x); i <= (n); ++i)
#define loopd(i, x, n) for (int i = (x); i > (n); --i)
#define loopds(i, x, n) for (int i = (x); i >= (n); --i)
#define itrep(i, a) for (auto i = begin(a); i != end(a); ++i)
#define itrepd(i, a) for (auto i = rbegin(a); i != rend(a); ++i)
#define each(i, x) for (auto &&i : x)
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define sz(a) ((int)a.size())
#define pow2(n) (n * n)
#define int ll
using namespace std;
using ll = long long;
using ld = long double;
using ull = unsigned long long;
template <class T>
using priority_queuel = priority_queue<T, vector<T>, greater<T>>;
constexpr ll inf = static_cast<ll>(1e18);
constexpr int iinf = static_cast<int>(1e9);
constexpr double dinf = 1e10;
constexpr ld ldinf = 1e18;
constexpr double eps = 1e-9;
ll mod = static_cast<ll>(1e9 + 7);
template <class T, class... Args>
constexpr void mins(T &a, Args... args) { a = min<T>({a, args...}); }
template <class T, class... Args>
constexpr void maxs(T &a, Args... args) { a = max<T>({a, args...}); }
template <class F>
class FixPoint : private F {
public:
    explicit constexpr FixPoint(F &&f) : F(std::forward<F>(f)) {}
    template <class... Args>
    constexpr decltype(auto) operator()(Args &&... args) const { return F::operator()(*this, std::forward<Args>(args)...); }
};
template <class F>
constexpr decltype(auto) funcs(F &&f) { return FixPoint<F>{std::forward<F>(f)}; }
template <class T>
std::vector<T> vecs(int n, T &&val) { return std::vector<T>(std::forward<int>(n), std::forward<T>(val)); }
template <class... Args>
decltype(auto) vecs(int n, Args &&... args) { return std::vector<decltype(vecs(std::forward<Args>(args)...))>(std::forward<int>(n), vecs(std::forward<Args>(args)...)); }
template <class V, class T>
void fill(V &x, const T &val) { x = val; }
template <class V, class T>
void fill(vector<V> &vec, const T &val) {
    for (auto &&v : vec)
        fill(v, val);
}

template <class T, class U>
struct fpair {
    T first;
    U second;
    fpair(T fi = T(), U se = U()) : first(fi), second(se) {}
    bool operator<(const fpair &x) const {
        return first < x.first;
    }
    bool operator>(const fpair &x) const {
        return first > x.first;
    }
};

void solve() {
    int n, m;
    cin >> n >> m;
    auto g = vecs(n, 0, int());
    rep(i, m) {
        int a, b;
        cin >> a >> b;
        --a, --b;
        g[a].emplace_back(b);
        g[b].emplace_back(a);
    }

    priority_queuel<fpair<int, int>> que;
    que.emplace(0, 0);
    vector<int> d(n, inf);
    d[0] = 0;
    while (!que.empty()) {
        auto p = que.top();
        que.pop();
        auto v = p.second;
        if (p.first != d[v]) continue;
        each(nv, g[v]) {
            if (d[nv] > d[v] + 1) {
                d[nv] = d[v] + 1;
                que.emplace(d[nv], nv);
            }
        }
    }

    vector<int> ans(n);
    rep(i, n) {
        each(j, g[i]) {
            if (d[j] == d[i] + 1) ans[j] = i;
        }
    }

    cout << "Yes" << endl;
    reps(i, n - 1) cout << ans[i] + 1 << endl;
}

signed main() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    cout << fixed << setprecision(15);
    solve();
    cout.flush();
    return 0;
}

Measured memory_bytes: 14372