//This template belongs to Juan Carlo Vieri

/*   ____   __               
    /  _/  |  |    __         __        
 __|  |__  |  |   /_/        |  |                 
|__    __| |  |   __    ____ |  | __   ___   _  ___
   |  |    |  |  |  |  /  _/ |  |/ /  / _ \ | |/ _/   
   |  |    |  |  |  | |  |_  |     \ |  __/ |   / 
   |__|    |__|  |__|  \___\ |__|\__\ \___\ |__|
*/

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

typedef int_fast64_t ll;
typedef long double ld;
typedef int_fast32_t intt;
typedef int_fast32_t tmp_m;
#define deb(x) cout << #x << ' ' << x << endl
#define rep(i, cmp1, cmp2) for (tmp_m i = cmp1; i < cmp2; ++i)
#define repp(i, cmp1, cmp2) for (tmp_m i = cmp1; i >= cmp2; --i)
#define pb push_back
#define st stack
#define pa pair
#define vc vector
#define qu queue
#define pq priority_queue
#define fr first
#define sc second
#define mp map
const ld pi = acos(-1.0);
const intt mod = 1e9 + 7;

struct pr {
  intt x;
  intt y;
  intt dst;
  pr() {}
  pr(intt x, intt y, intt dst) : x(x), y(y), dst(dst) {}
  inline bool operator<(const pr& cmp2) const {
    if (dst != cmp2.dst) return dst < cmp2.dst;
    if (x != cmp2.x) return x < cmp2.x;
    return y < cmp2.y;
  }
  inline bool operator==(const pr& cmp2) const {
    return (cmp2.dst == dst) && (cmp2.x == x) && (cmp2.y == y);
  }
  inline bool operator>(const pr& cmp2) const {
    if (dst != cmp2.dst) return dst > cmp2.dst;
    if (x != cmp2.x) return x > cmp2.x;
    return y > cmp2.y;
  }
};

struct point {
  intt x;
  intt y;
  point() {}
  point(intt x, intt y) : x(x), y(y) {}
  inline bool operator<(const point& cmp2) const {
    if (cmp2.x != x) return cmp2.x < x;
    return cmp2.y < y;
  }
  inline bool operator==(const point& cmp2) const {
    return (cmp2.x == x) && (cmp2.y == y);
  }
  inline bool operator>(const point& cmp2) const {
    if (cmp2.x != x) return cmp2.x > x;
    return cmp2.y > y;
  }
};

class prHash {
 public:
  size_t operator()(const pr& cmp1) const {
    return (hash<intt>()(cmp1.x)) ^ (hash<intt>()(cmp1.y)) ^
           (hash<intt>()(cmp1.dst));
  }
};

class pointHash {
 public:
  size_t operator()(const point& cmp1) const {
    return (hash<intt>()(cmp1.x)) ^ (hash<intt>()(cmp1.y));
  }
};

inline bool spoint(const point& cmp1, const point& cmp2) {
  // swap(cmp1, cmp2);
  if (cmp1.x != cmp2.x) return cmp1.x < cmp2.x;
  return cmp1.y < cmp2.y;
}

inline bool spr(const pr& cmp1, const pr& cmp2) {
  // swap(cmp1, cmp2);
  if (cmp1.dst != cmp2.dst) return cmp1.dst < cmp2.dst;
  if (cmp1.x != cmp2.x) return cmp1.x < cmp2.x;
  return cmp1.y < cmp2.y;
}

vc<intt> arr[100005];
intt dst[100005], vis[100005], ans[100005];

void solve() {
  intt n, m;
  cin >> n >> m;
  rep(i, 0, m){
    intt a, b;
    cin >> a >> b;
    arr[a].pb(b);
    arr[b].pb(a);
  }
  qu<intt> q;
  q.push(1);
  while(!q.empty()){
    auto cur = q.front();
    q.pop();
    for(auto i : arr[cur]){
      if(vis[i])continue;
      vis[i] = 1;
      q.push(i);
      ans[i] = cur;
      dst[i] = dst[cur] + 1;
    }
  }
  rep(i, 2, n + 1){
    if(dst[i] == 0){
      puts("No");
      return;
    }
  }
  puts("Yes");
  rep(i, 2, n + 1){
    cout << ans[i] << endl;
  }
}

void init() {
  // remove if interactive
  // ios_base::sync_with_stdio(false);
  // cin.tie(NULL);
  // cout.tie(NULL);
  srand(time(0));
  // memset(dp, -1, sizeof dp);
}

int main() {
  init();
  solve();
  return 0;
}


Measured memory_bytes: 14632