#include <algorithm>
#include <cmath>
#include <cstdio>
#include <deque>
#include <functional>
#include <iomanip>
#include <iostream>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <vector>
#define ll long long
#define fr(i, k, N) for (decltype(N + k) i = k; i < N; i++)
#define rep(i, N) for (decltype(N) i = 0; i < N; i++)
#define ALL(v) v.begin(), v.end()
using namespace std;
template <class X>
void pr(X test) {
  cout << test << endl;
}
template <class X>
void prr(X test) {
  for (auto it : test) cout << it << " ";
  cout << endl;
}
template <class X>
void prrr(X test) {
  int f = 0;
  for (auto it : test) cout << (f++ != 0 ? " " : "") << it;
  cout << endl;
}
template <typename X>
istream &operator>>(istream &i, vector<X> &v) {
  for (X &x : v) i >> x;
  return i;
}

class UF {  // union find from https://github.com/kartikkukreja/blog-codes (MIT)
            // [usage]
            // auto uf = new UF(n);
            // uf->merge(l, r); // 0 <= l, r <= n-1
            // uf->sz[uf->find(l)]; // size of l's union
            // ...
 public:
  int *id;  // inner id
  int cnt;  // number of all vartices
  int *sz;  // sz[i] means size of i's set
  UF(int N) {
    cnt = N;
    id = new int[N];
    sz = new int[N];
    for (int i = 0; i < N; i++) {
      id[i] = i;
      sz[i] = 1;
    }
  }
  ~UF() {
    delete[] id;
    delete[] sz;
  }
  int find(int p) {
    int root = p;
    while (root != id[root]) root = id[root];
    while (p != root) {
      int newp = id[p];
      id[p] = root;
      p = newp;
    }
    return root;
  }
  void merge(int x, int y) {
    int i = find(x);
    int j = find(y);
    if (i == j) return;

    if (sz[i] < sz[j]) {
      id[i] = j;
      sz[j] += sz[i];
    } else {
      id[j] = i;
      sz[i] += sz[j];
    }
    cnt--;
  }
  bool connected(int x, int y) { return find(x) == find(y); }
  int count() { return cnt; }
};

// return 約数unordered_set 1 <= x <= n
auto divv(ll n) {
  unordered_set<decltype(n)> v;
  for (decltype(n) i = 1; i * i <= n; i++) {
    if (n % i == 0) {
      v.insert(i);
      if (i * i != n) v.insert(n / i);
    }
  }
  return v;
};

// check prime (and n>=2) or not
auto isPrime(ll n) {
  if (n <= 1) return false;
  for (decltype(n) i = 2; i <= sqrt(n); ++i) {
    if (n % i == 0) {
      return false;
    }
  }
  return true;
}

// 最小公倍数
auto lcm_(ll a, ll b) {
  if (a < b) swap(a, b);
  auto r = a % b;
  auto x = a * b;
  while (r != 0) {
    a = b;
    b = r;
    r = a % b;
  }
  return x / b;
}

// 最大公約数
auto gcd_(ll a, ll b) { return (a * b) / lcm_(a, b); };

// factorial n mod prm
ll factmod(ll a, ll prm) {
  return a == 0 ? 1 : (a * factmod(a - 1, prm)) % prm;
};

// 1/x mod prm
auto invmod = [](auto x, auto prm) {
  decltype(x) r = 1;
  if (x == 1) return r;
  for (auto ex = prm - 2; ex; ex >>= 1) {
    if (ex & 1) r = (r * x) % prm;
    x = (x * x) % prm;
  }
  return r;
};

// {{2, 3}, {3, 1}, {5, 2}, ...}
unordered_map<ll, ll> prime_factor(ll n) {
  unordered_map<ll, ll> ret;
  for (ll i = 2; i * i <= n; i++) {
    while (n % i == 0) {
      ret[i]++;
      n /= i;
    }
  }
  if (n != 1) ret[n] = 1;
  return ret;
}

ll modpow(ll base, ll exp, ll mod) {
  base %= mod;
  ll result = 1;
  while (exp > 0) {
    if (exp & 1) result = (result * base) % mod;
    base = (base * base) % mod;
    exp >>= 1;
  }
  return result;
}

// get {1, 1, 2, 6, ..., fact(n)}, size = n + 1
vector<ll> factvec(ll n, ll mod) {
  vector<ll> v(n + 1);
  v[0] = 1;
  fr(i, 1, n + 1) { v[i] = (i * v[i - 1]) % mod; }
  return v;
}

ll nPkMod(ll n, ll k, ll mod, const vector<ll> &factvec) {
  ll tmp = 1;
  tmp = (tmp * factvec[n]) % mod;
  tmp = (tmp * invmod(factvec[n - k], mod)) % mod;
  return tmp;
}

ll nCkMod(ll n, ll k, ll mod, const vector<ll> &factvec) {
  ll tmp = nPkMod(n, k, mod, factvec);
  return (tmp * invmod(factvec[k], mod)) % mod;
}

// ---

int main() {
  ll n, m;
  cin >> n >> m;
  unordered_map<ll, vector<ll>> g;
  rep(i, m) {
    ll a, b;
    cin >> a >> b;
    g[a].push_back(b);
    g[b].push_back(a);
  }
  unordered_map<ll, ll> ans;
  queue<ll> q;
  q.push(1);
  ans[1] = 0;
  while (!q.empty()) {
    ll top = q.front();
    q.pop();
    for (auto it : g[top]) {
      ;
      ;
      if (ans.count(it) == 0) {
        q.push(it);
        ans[it] = top;
      }
    }
  }
  pr("Yes");
  rep(i, n - 1) { pr(ans[i + 2]); }
}


Measured memory_bytes: 22844