#include<iostream>
#include<string>
#include<algorithm>
#include<vector>
#include<queue>
#include<map>
#include<math.h>
#include<iomanip>
#include<set>
#include<numeric>
#include<cstring>
#include<cstdio>
#include<functional>
#include<bitset>
#include<limits.h>
#include<cassert>
#include<iterator>
#include<complex>
#include<stack>
#include<unordered_map>
#include<unordered_set>
#include<time.h>
#include<random>
#include<array>
using namespace std;
using ll = long long;
#define rep(i, a, b) for(int i = a; i < b; i++)
#define rrep(i, a, b) for(int i = b - 1; i >= a; i--)
#define ALL(a) a.begin(), a.end()
using pii = pair<int,int>;
using piii = pair<pii,int>;
using pll = pair<long long, long long>;
using plll = pair<pll, long long>;
// #pragma GCC optimize("Ofast")
#define pcnt __builtin_popcount
#define buli(x) __builtin_popcountll(x)
#define pb push_back
#define mp make_pair
#define UNIQUE(v) v.erase( unique(v.begin(), v.end()), v.end() );
#define isSquare(x) (sqrt(x)*sqrt(x) == x)
template<class T>inline bool chmax(T &a, const T &b) {if(a<b){a = b; return 1;} return 0; };
template<class T>inline bool chmin(T &a, const T &b) {if(a>b){a = b; return 1;} return 0; };
inline void in(void){return;}
template <typename First, typename... Rest> void in(First& first, Rest&... rest){cin >> first;in(rest...);return;}
inline void out(void){cout << "\n";return;}
template <typename First, typename... Rest> void out(First first, Rest... rest){cout << first << " ";out(rest...);return;}
const double EPS = 1e-9;
const int mod = 1e9 + 7;
const int INF = 1e9;
const long long INFLL = 1e18;
void iosetup() {
    cin.tie(nullptr);ios::sync_with_stdio(false);
    cout << fixed << setprecision(10);
    cerr << fixed << setprecision(10);
}
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 S, class T> pair<S,T> operator+(const pair<S,T> &s, const pair<S, T>& t){return pair<S,T>(s.first+t.first, s.second+t.second);}
template<class S, class T> pair<S,T> operator-(const pair<S,T> &s, const pair<S, T>& t){return pair<S,T>(s.first-t.first, s.second-t.second);}
template<class S, class T> pair<S,T> operator*(const pair<S,T> &s, const S& t){return pair<S,T>(s.first*t, s.second*t);}
template <typename T> void Exit(T first){cout << first << endl;exit(0); };
template< int mod > struct ModInt {
    unsigned x; ModInt() : x(0) {}
    ModInt(int64_t y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {}
    ModInt &operator+=(const ModInt &p) {if((x += p.x) >= mod) x -= mod;return *this;}
    ModInt &operator-=(const ModInt &p) {if((x += mod - p.x) >= mod) x -= mod;return *this;}
    ModInt &operator*=(const ModInt &p) {x = (int) (1LL * x * p.x % mod);return *this;}
    ModInt &operator/=(const ModInt &p) {*this *= p.inverse();return *this;}
    ModInt operator-() const { return ModInt(-x); }
    ModInt operator+(const ModInt &p) const { return ModInt(*this) += p; }
    ModInt operator-(const ModInt &p) const { return ModInt(*this) -= p; }
    ModInt operator*(const ModInt &p) const { return ModInt(*this) *= p; }
    ModInt operator/(const ModInt &p) const { return ModInt(*this) /= p; }
    bool operator==(const ModInt &p) const { return x == p.x; }
    bool operator!=(const ModInt &p) const { return x != p.x; }
    ModInt inverse() const {int a = x, b = mod, u = 1, v = 0, t;
    while(b > 0) { t = a / b; swap(a -= t * b, b); swap(u -= t * v, v); }return ModInt(u);}
    ModInt pow(int64_t n) const {ModInt ret(1), mul(x); while(n > 0) {if(n & 1) ret *= mul;mul *= mul;n >>= 1;}return ret;}
    friend ostream &operator<<(ostream &os, const ModInt &p) { return os << p.x;}
    friend istream &operator>>(istream &is, ModInt &a) { int64_t t; is >> t; a = ModInt< mod >(t); return (is); }
    static int get_mod() { return mod; }
}; using modint = ModInt< mod >;
const int dx[4] = {1, 0, -1, 0};
const int dy[4] = {0, 1, 0, -1};
const pii dxy[4] = {pii(1,0), pii(0, 1), pii(-1, 0), pii(0, -1)};
const int calender[13] = {0, 31,28,31,30,31,30,31,31,30,31,30,31};
const int ucalender[13] = {0, 31,29,31,30,31,30,31,31,30,31,30,31};
bool range(int a, int b, int x){if(a <= x and x < b)return true;else return false;}
bool range(int a, int b, int c, int d, pii p){if(a <= p.first and p.first < b and c <= p.second and p.second < d) return true;else return false;}

template< typename T > struct edge {
   int src, to; T cost;
   edge(int to, T cost) : src(-1), to(to), cost(cost) {}
   edge(int src, int to, T cost) : src(src), to(to), cost(cost) {}
   edge &operator=(const int &x) { to = x; return *this;}
   operator int() const { return to; }
};
template< typename T > using Edges = vector< edge< T > >;
template< typename T > using WeightedGraph = vector< Edges< T > >;
using UnWeightedGraph = vector< vector< int > >;
template< typename T > using Matrix = vector< vector< T > >;
void add_edge(UnWeightedGraph& g, int x, int y){
    g[x].push_back(y);
    g[y].push_back(x);
}
template< typename T > 
void add_edge(WeightedGraph< T >& g, int x, int y, T c){
    g[x].push_back({y, c});
    g[y].push_back({x, c});
}
void add_edge_bi(UnWeightedGraph& g, int x, int y){
    g[x].push_back(y);
}
template< typename T > 
void add_edge_bi(WeightedGraph< T >& g, int x, int y, T c){
    g[x].push_back({y, c});
}

template< typename T > struct dijkstra
{
    // private:
        WeightedGraph< T > g;
        int s;
        int V;
        vector<int> Prev;
        vector<T> Dist;

    // public:
        using Pi = pair< T, int >;
        dijkstra(WeightedGraph< T > &G, int S){
            g = G;
            s = S;
            V = G.size();
            Prev.resize(V, -1);
            Dist.resize(g.size(), INF);
        }


        vector< T > dist(){
            priority_queue< Pi, vector< Pi >, greater< Pi > > que;
            Dist[s] = 0;
            que.emplace(Dist[s], s);
            while(!que.empty()) {
                T cost;
                int idx;
                tie(cost, idx) = que.top();
                que.pop();
                if(Dist[idx] < cost) continue;
                for(auto &e : g[idx]) {
                    auto next_cost = cost + e.cost;
                    if(Dist[e.to] <= next_cost) continue;
                    Dist[e.to] = next_cost;
                    Prev[e.to] = idx;
                    que.emplace(Dist[e.to], e.to);
                }
            }
            return Dist;
        }

        // 頂点tへの最短路
        vector<int> get_path(int t){
            vector<int> path;
            for(; t != -1; t = Prev[t]) path.push_back(t);//tがsになるまで辿っていく
            reverse(path.begin(), path.end());
            return path;
        }
};
// dijkstra<int> ds(G, 1);

int main(){
    iosetup();
    int N, M; cin >> N >> M;
    WeightedGraph<int> g(N);
    rep(i, 0, M){
        int a, b; cin >> a >> b; a--, b--;
        add_edge(g, a, b, 1);
    }
    dijkstra<int> ds(g, 0);
    auto dist = ds.dist();
    rep(i, 0, N) if(dist[i] == INF)Exit("No");
    cout << "Yes" << endl;
    rep(i, 1, N) cout << ds.Prev[i] + 1 << endl;

    return 0;
}

Measured memory_bytes: 23260