#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef pair<int, int> P;
typedef pair<ll, ll> PL;

const ll MOD = 1000000007;
const ll INF = (ll)1000000007 * 1000000007;
const double PI = 3.14159265358979323846;

const int dx[4] = {1, 0, -1, 0};
const int dy[4] = {0, 1, 0, -1};

#define FOR(i, a, b) for (int i = (a); i < (b); ++i)
#define rep(i, n) FOR(i, 0, n)
#define rrep(i, n) for (int i = ((int)(n)-1); i >= 0; i--)
#define irep(itr, st) for (auto itr = (st).begin(); itr != (st).end(); ++itr)
#define irrep(itr, st) for (auto itr = (st).rbegin(); itr != (st).rend(); ++itr)

#define m0(x) memset((x), 0, sizeof((x)))
#define m1(x) memset((x), -1, sizeof((x)))

// xにはvectorなどのコンテナ
#define ALL(x) (x).begin(), (x).end()  // sortなどの引数を省略したい
#define SIZE(x) ((ll)(x).size())     // sizeをsize_tからllに直しておく
#define MAX(x) *max_element(ALL(x))  //最大値を求める
#define MIN(x) *min_element(ALL(x))  //最小値を求める
#define all(x) (x).begin(), (x).end()

//略記
#define pb emplace_back  // vectorヘの挿入
#define mp make_pair     // pairのコンストラクタ
#define F first          // pairの一つ目の要素
#define S second         // pairの二つ目の要素

#define BITCOUNT __builtin_popcount
#define BITCOUNT_LL(x) __builtin_popcountll(x)

#define perm(c)             \
  sort(all(c));             \
  for (bool c##p = 1; c##p; \
       c##p = next_permutation(all(c)))  //順列 123 132 213 231 312 321

#define BIT(n) (1LL << (n))

#ifdef DEBUG
#define PRINT(A) std::cout << (#A) << ":" << (A) << std::endl;
#else
#define PRINT(A)
#endif

const int mod = 10007;
// const int mod = 998244353;
struct mint {
  ll x;  // typedef long long ll;
  mint(ll x = 0) : x((x % mod + mod) % mod) {}
  mint operator-() const { return mint(-x); }
  mint &operator+=(const mint a) {
    if ((x += a.x) >= mod) x -= mod;
    return *this;
  }
  mint &operator-=(const mint a) {
    if ((x += mod - a.x) >= mod) x -= mod;
    return *this;
  }
  mint &operator*=(const mint a) {
    (x *= a.x) %= mod;
    return *this;
  }
  mint operator+(const mint a) const { return mint(*this) += a; }
  mint operator-(const mint a) const { return mint(*this) -= a; }
  mint operator*(const mint a) const { return mint(*this) *= a; }
  mint pow(ll t) const {
    if (!t) return 1;
    mint a = pow(t >> 1);
    a *= a;
    if (t & 1) a *= *this;
    return a;
  }

  // for prime mod
  mint inv() const { return pow(mod - 2); }
  mint &operator/=(const mint a) { return *this *= a.inv(); }
  mint operator/(const mint a) const { return mint(*this) /= a; }
};
istream &operator>>(istream &is, const mint &a) { return is >> a.x; }
ostream &operator<<(ostream &os, const mint &a) { return os << a.x; }

//入力高速化
struct IoSetup {
  IoSetup() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    cout << fixed << setprecision(20);
  }
} iosetup;

template <typename T1, typename T2>
ostream &operator<<(ostream &os, const pair<T1, T2> &p) {
  os << p.first << " " << p.second;
  return os;
}

template <typename T1, typename T2>
istream &operator>>(istream &is, pair<T1, T2> &p) {
  is >> p.first >> p.second;
  return is;
}

template <typename T>
ostream &operator<<(ostream &os, const vector<T> &v) {
  for (int i = 0; i < (int)v.size(); i++) {
    os << v[i] << (i + 1 != v.size() ? " " : "");
  }
  return os;
}

template <typename T>
istream &operator>>(istream &is, vector<T> &v) {
  for (T &in : v) is >> in;
  return is;
}

template <class T>
inline bool chmin(T &a, T b) {
  if (a > b) {
    a = b;
    return true;
  }
  return false;
}

template <class T>
inline bool chmax(T &a, T b) {
  if (a < b) {
    a = b;
    return true;
  }
  return false;
}

struct Node{
  int num,p;
}node;


  vector<int> v[100005];
  vector<int> d(100005, -1);

  int gcd(int a, int b) { return b ? gcd(b, a % b) : a; }

  signed main() {
    int N, M;
    cin >> N >> M;

    rep(i, M) {
      int a, b;
      cin >> a >> b;
      a--;
      b--;
      v[a].pb(b);
      v[b].pb(a);
    }
    queue<Node> que;
    que.push({0, -1});
    d[0] = 0;
    while (!que.empty()) {
      auto now = que.front();
      que.pop();

      for (int next : v[now.num]) {
        if (d[next] != -1) {
          continue;
        }
        que.push({next, now.num});
        d[next] = now.num + 1;
      }
    }


    rep(i, N) {
      if (d[i] == -1) {
        cout << "No" << endl;
        return 0;
      }
    }

    cout << "Yes" << endl;
    rep(i, N-1) { cout << d[i+1] << endl; }

}


Measured memory_bytes: 10392