#include<bits/stdc++.h>
#include<ext/pb_ds/assoc_container.hpp>
#include<ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
typedef long long ll;
typedef long double lld;
typedef long long int lli;
using namespace std;
const int N = 1000001;
const int MOD = 1e9+7;
const bool DEBUG = 1;
#define sd(x) scanf("%d ", &x)
#define sd2(x, y) scanf("%d%d", &x, &y)
#define sd3(x, y, z) scanf("%d%d%d", &x, &y, &z)
#define endl "\n"
#define fi first
#define se second
#define eb emplace_back
#define fbo find_by_order
#define ook order_of_key
#define pb(x) push_back(x)
#define mp(x, y) make_pair(x, y)
#define LET(x, a) __typeof(a) x(a)
#define foreach(it, v) for (LET(it, v.begin()); it != v.end(); it++)
#define MEMS(a, b) memset(a, b, sizeof(a))
#define _			\
    ios_base::sync_with_stdio(false);			\
    cin.tie(NULL);			\
    cout.tie(NULL);
#define __			\
    freopen("input.txt", "r", stdin);			\
    freopen("output.txt", "w", stdout);
#define all(c) c.begin(), c.end()
#define inf 1000000000000000001
#define epsilon 1e-6
#define int ll
#define RUN_T			\
    int _t;			\
    cin >> _t;			\
    while (_t--)
#define tr(...)			\
if (DEBUG) {			\
    cout << __FUNCTION__ << ' ' << __LINE__ << " = ";			\
    trace(#__VA_ARGS__, __VA_ARGS__);			\
}
template <typename S, typename T>
ostream &operator<<(ostream &out, pair<S, T> const &p) {
    out << '(' << p.fi << ", " << p.se << ')';
    return out;
}
template <typename T>
ostream &operator<<(ostream &out, set<T> const &v) {
    for (auto i = v.begin(); i != v.end(); i++)
        out << (*i) << ' ';
    return out;
}
template <typename T, typename V>
ostream &operator<<(ostream &out, map<T, V> const &v) {
    for (auto i = v.begin(); i != v.end(); i++)
        out << "\n" << (i->first) <<  ":"  << (i->second);
    return out;
}
template <typename T, typename V>
ostream &operator<<(ostream &out, unordered_map<T, V> const &v) {
    for (auto i = v.begin(); i != v.end(); i++)
        out << "\n" << (i->first) <<  ":"  << (i->second);
    return out;
}
template <typename T>
ostream &operator<<(ostream &out, multiset<T> const &v) {
    for (auto i = v.begin(); i != v.end(); i++)
        out << (*i) << ' ';
    return out;
}
template <typename T>
ostream &operator<<(ostream &out, unordered_set<T> const &v) {
    for (auto i = v.begin(); i != v.end(); i++)
        out << (*i) << ' ';
    return out;
}
template <typename T>
ostream &operator<<(ostream &out, unordered_multiset<T> const &v) {
    for (auto i = v.begin(); i != v.end(); i++)
        out << (*i) << ' ';
    return out;
}
template <typename T> ostream &operator<<(ostream &out, vector<T> const &v) {
    ll l = v.size();
    for (ll i = 0; i < l - 1; i++)
        out << v[i] << ' ';
    if (l > 0)
        out << v[l - 1];
    return out;
}
template <typename T> void trace(const char *name, T &&arg1) {
    cout << name <<  ":"  << arg1 << endl;
}
template <typename T, typename... Args>
void trace(const char *names, T &&arg1, Args &&... args) {
    const char *comma = strchr(names + 1, ',');
    cout.write(names, comma - names) <<  ":"  << arg1 <<  "|" ;
    trace(comma + 1, args...);
}
template <typename T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
int gcd(int a, int b) {
     if (b == 0)
           return a;
     return gcd(b, a % b);
}
vector<int>dist,par;
vector<vector<int>>g;
void bfs(int n){
    vector<int>vis(n + 1, 0);
    queue<int>q;
    q.push(1);
    dist[1] = 0;
  	vis[1] = 1;
    while(!q.empty()){
        int x = q.front();
        q.pop();
        for(int p: g[x]){
            if(vis[p]!=1){
                q.push(p);
              	vis[p] = 1;
            }
            if( dist[x] + 1 < dist[p] ){
                dist[p] = min( dist[x] + 1 , dist[p]);
                par[p] = x;
            }
        }
    }
}
int32_t main(){
    _
    int n , m, x, y;
    cin >> n >> m;
    g.resize(n + 1);
    par.resize(n + 1);
    dist.clear();
    dist.resize(n + 1 , 1e9);
    for(int i  = 0 ;i  < m; i++){
        cin >> x >> y;
        g[x].pb(y);
        g[y].pb(x);
    }
    bfs(n);
    for(int i = 2 ; i <= n; i++){
        if(dist[i] >= 1e9){
            cout << "No"<<endl;
            return 0;
        }
    }
    cout << "Yes"<<endl;
    for(int i = 2; i <= n ;i++){
        cout << par[i] << endl;
    }
}


Measured memory_bytes: 14416