#include <iostream>
#include <vector>
#include <stdio.h>
#include <string.h>
#include <stdlib.h>
#include <math.h>
#include <algorithm>
#include <queue>
using namespace std;
#define rep(i,n) for(int i = 0; i < (n); ++i)
#define MOOD 1000000007

using namespace std;
using ll = long long;
using P = pair<int,int>;

int cmpnum(const void *a, const void *b)
{
    long long *A = (long long *)a;
    long long *B = (long long *)b;
    if (*A > *B)
        return 1;
    if (*A < *B)
        return -1;
    return 0;
}

int char_sort_max( const void * a , const void * b ) {
    return strcmp(( char * )a , ( char * )b );
}

int char_sort_min( const void * a , const void * b ) {
    return strcmp(( char * )a , ( char * )b );
}

int gcd(int x, int y)
{
    int t;

    while (y != 0) {
        t = x % y;  x = y;  y = t;
    }
    return x;
}
ll lcm(ll a, ll b)
{
    return (ll)((ll)(a * b) / (ll)(gcd(a, b)));
}

struct UnionFind{
    vector<int> d;
    UnionFind(int n = 0):d(n,-1){};

    int find(int x){
        if(d[x] < 0) {
            return x;
        }
        else{
            return d[x] = find(d[x]);
        }
    }
    bool unite(int x, int y) {
        x = find(x);
        y = find(y);
        if (x == y) return false;
        if (d[x] > d[y]) swap(x, y);

        d[x] += d[y];
        d[y] = x;
        return true;
    }
    bool same(int x, int y){
        return find(x) == find(y);
    }
    int size(int x){
        return -d[find(x)];
    }

};

struct mint {
    ll x;

    mint(ll x) : x((x % MOOD + MOOD) % MOOD) {}

    mint operator-() const { return mint(-x); }

    mint &operator+=(const mint a) {
        if ((x += a.x) >= MOOD) x -= MOOD;
        return *this;
    }
    mint& operator-=(const mint a) {
        if ((x += MOOD-a.x) >= MOOD) x -= MOOD;
        return *this;
    }

    mint &operator*=(const mint a) {
        if ((x *= a.x) %= MOOD);
        return *this;
    }

    mint operator+(const mint a)const {
        mint res(*this);
        return res += a;
    }

    mint operator-(const mint a) const {
        mint res(*this);
        return res -= a;
    }

    mint operator*(const mint a) const {
        mint res(*this);
        return res *= a;
    }

    mint pow(ll t) const{
        if(!t) return 1;
        mint a = pow(t>>1);
        a *= a;
        if(t&1) a *= *this;
        return a;
    }

    mint inv() const {
        return pow(MOOD-2);
    }

    mint& operator/=(const mint a) {
        return (*this) *= a.inv();
    }

    mint operator/(const mint a) const {
        mint res(*this);
        return res/=a;
    }

};

mint kaijyo(int n) {
    if (n == 0) return 1;
    mint x = kaijyo(n/2);
    x *= x;
    if (n%2 == 1) x *= 2;
    return x;
}

mint choose(int n, int a) {
    mint x = 1, y = 1;
    rep(i,a) {
        x *= n-i;
        y *= i+1;
    }
    return x / y;
}


int shakutori(ll x, ll n,ll k, ll a[])
{
    long long int ai,res,ok,ng,mid;
    res = 0;
    for (int i = 0; i < n; i++)
    {
        // printf("%lld\n", res);
        ai = a[i];
        if(ai == 0){
            if(x < 0){
                res += 0;
            } else {
                res += n - 1;
            }
        } else
        {
            if(ai <= -1){
                if (ai * ai <= x){
                    res -= 1;
                }
                ok = n;
                ng = -1;
                while (ok-ng>1)
                {
                    mid = (ok + ng) / 2;
                    if(a[mid]*ai<=x){
                        ok = mid;
                    } else {
                        ng = mid;
                    }
                }
                res += n - ok;
            } else
            {
                if (ai * ai <= x)
                {
                    res -= 1;
                }
                ok = -1;
                ng = n;
                while (ng - ok > 1)
                {
                    mid = (ok + ng) / 2;
                    if (a[mid] * ai <= x)
                    {
                        ok = mid;
                    }
                    else
                    {
                        ng = mid;
                    }
                }
                res += ok + 1;
            }

        }
    }
    // printf("%lld\n", res);
    return k <= res / 2;
}

int two_n(int tei, int jyousuu){
    if(jyousuu == 0) return 1;
    int x = two_n(tei,jyousuu/2);
    x *= x ;
    if(jyousuu % 2 == 1) {
        x *= tei;
    }
    return x;




}
const double PI=3.14159265358979323846;


int main() {
    int n,m;
    cin >> n;
    cin >> m;
    vector<vector<int>> d(n+1);

    int mejirusi[n+1];
    for(int i = 1; i <= n; ++i){
        mejirusi[i] = -1;
    }

    queue<int> que;
    for(int i = 0; i < m; ++i){
        int a,b;
        cin >> a >> b;
        d[a].push_back(b);
        d[b].push_back(a);
    }
    for(int i = 0; i < d[1].size(); ++i){
            que.push(d[1][i]);
            mejirusi[d[1][i]] = 1;
        }

    while(!que.empty()){
        int A = que.front();
        for(int i = 0; i < d[A].size(); ++i){
            if(mejirusi[d[A][i]] == -1 && d[A][i] != 1){
                que.push(d[A][i]);
                mejirusi[d[A][i]] = A;
            }
        }
        que.pop();

    }

    for(int i = 2; i <= n; ++i){
        if(mejirusi[i] == -1){
            printf("No");
            return 0;
        }
    }
    printf("Yes\n");
    for(int i = 2; i <= n; ++i){
            printf("%d\n",mejirusi[i]);
        }


    return 0;
}

int A(){
    ll n,m;
    cin >> n ;
    if(n % 10 == 2||n % 10 == 4||n % 10 == 5||n % 10 == 7||n % 10 == 9){
        printf("hon");
    }
    else if(n % 10 == 0||n % 10 == 1||n % 10 == 6||n % 10 == 8){
        printf("pon");
    }
    else{
        printf("bon");
    }
}

int B(){

    int K,m;
    cin >> K ;
    char S[101];
    scanf("%s",&S);
    if(K >= strlen(S)){
        printf("%s", S);
    }
    else{
        for(int i = 0; i < K; ++i ) {
            printf("%c", S[i]);
        }
        printf("...");
    }

}

int C(){
    double a,b;
    cin >> a >> b;
    double hour, second;
    cin >> hour >> second;
    double second_x,second_y;
    double hour_x,hour_y;
    hour_x = a * sin(2*PI*(hour*60 + second)/720.000000000000000);
    hour_y = a * cos(2*PI*(hour*60 + second)/720.000000000000000);
    second_x = b * sin(2*PI*second/60.00000000000000);
    second_y = b * cos(2*PI*second/60.00000000000000);

    double ans;
    ans = sqrt((hour_x-second_x)*(hour_x-second_x) + (hour_y-second_y)*(hour_y-second_y));
    printf("%.15lf",ans);
}


Measured memory_bytes: 10208