#include <iostream>
#include <array>
#include <vector>
#include <map>
#include <unordered_map>
#include <set>
#include <unordered_set>
#include <algorithm>
#include <math.h>
#include <string>
#include <climits>
#include <assert.h>
#include <iomanip>
#include <bitset>
#include <queue>
#include <deque>
#include <stack>
#include <functional>
#include <fstream>
#include <random>

#define LEN(x) (long long)(x.size())
#define FOR(i, a, n) for(int i=(a);i<(n); ++i)
#define FOE(i, a) for(auto i : a)
#define ALL(c) (c).begin(), (c).end()
#define RALL(c) (c).rbegin(), (c).rend()
#define SUM(x) std::accumulate(ALL(x), 0LL)
#define MIN(v) *std::min_element(v.begin(), v.end())
#define MAX(v) *std::max_element(v.begin(), v.end())
#define EXIST(v, x) (std::find(v.begin(), v.end(), x) != v.end())
#define BIT_COUNT(bit) (__builtin_popcount(bit))

typedef long long LL;

template<typename T>
std::vector<T> make_v(size_t a) { return std::vector<T>(a); }

template<typename T, typename... Ts>
auto make_v(size_t a, Ts... ts) { return std::vector<decltype(make_v<T>(ts...))>(a, make_v<T>(ts...)); }    // C++14
template<typename T, typename V>
typename std::enable_if<std::is_class<T>::value == 0>::type fill_v(T &t, const V &v) { t = v; }

template<typename T, typename V>
typename std::enable_if<std::is_class<T>::value != 0>::type fill_v(T &t, const V &v) { for (auto &e:t) fill_v(e, v); }

template<class T>
inline T ceil(T a, T b) { return (a + b - 1) / b; }

void print() { std::cout << std::endl; }

template<class Head, class... Tail>
void print(Head &&head, Tail &&... tail) {
    std::cout << head;
    if (sizeof...(tail) != 0) { std::cout << " "; }
    print(std::forward<Tail>(tail)...);
}

template<class T>
void print(std::vector<T> &v) {
    for (auto &a : v) {
        std::cout << a;
        if (&a != &v.back()) { std::cout << " "; }
    }
    std::cout << std::endl;
}

template<class T>
void print(std::vector<std::vector<T>> &vv) { for (auto &v : vv) { print(v); }}

void debug() { std::cerr << std::endl; }

template<class Head, class... Tail>
void debug(Head &&head, Tail &&... tail) {
    std::cerr << head;
    if (sizeof...(tail) != 0) { std::cerr << " "; }
    print(std::forward<Tail>(tail)...);
}

template<class T>
void debug(std::vector<T> &v) {
    for (auto &a : v) {
        std::cerr << a;
        if (&a != &v.back()) { std::cerr << " "; }
    }
    std::cerr << std::endl;
}

template<class T>
void debug(std::vector<std::vector<T>> &vv) { for (auto &v : vv) { print(v); }}

inline bool inside(long long y, long long x, long long H, long long W) { return 0 <= y and y < H and 0 <= x and x < W; }

template<class T>
inline double euclidean_distance(T y1, T x1, T y2, T x2) { return sqrt((x1 - x2) * (x1 - x2) + (y1 - y2) * (y1 - y2)); }

template<class T>
inline double manhattan_distance(T y1, T x1, T y2, T x2) { return abs(x1 - x2) + abs(y1 - y2); }

template<typename T>
T &chmin(T &a, const T &b) { return a = std::min(a, b); }

template<typename T>
T &chmax(T &a, const T &b) { return a = std::max(a, b); }

bool is_bit_on(const unsigned long long bit, const unsigned int i) { return (bit >> i) & 1u; }

unsigned long long bit_set(const unsigned long long bit, const unsigned int i, const unsigned int b) {
    assert(b == 0 or b == 1);
    if (b == 0) { return bit & ~(1ull << i); }
    else { return bit | (1ull << i); }
}

template<class T>
inline std::vector<T> unique(std::vector<T> v) {
    sort(v.begin(), v.end());
    v.erase(unique(v.begin(), v.end()), v.end());
    return v;
}

long long sum_of_arithmetic_progression(long long s, long long d, long long n) {
    return n * (2 * s + (n - 1) * d) / 2;
}


bool is_power_of_two(long long x) {
    return !(x & (x - 1));
}


long long gcd(long long a, long long b) {
    if (b == 0) { return a; }
    return gcd(b, a % b);
}


long long gcd(std::vector<long long> &v) {
    long long ans = v[0];
    for (int i = 1; i < (int) v.size(); ++i) {
        ans = gcd(ans, v[i]);
    }
    return ans;
}


long long lcm(long long a, long long b) {
    long long g = gcd(a, b);
    return a / g * b;
}

const int INF = 1u << 30u;
const long long LINF = 1ull << 60u;
const double EPS = 1e-9;
const long double PI = acos(-1.0);
const std::vector<int> dy2 = {0, 1}, dx2 = {1, 0};
const std::vector<int> dy4 = {0, 1, 0, -1}, dx4 = {1, 0, -1, 0};
const std::vector<int> dy8 = {0, -1, 0, 1, 1, -1, -1, 1}, dx8 = {1, 0, -1, 0, 1, 1, -1, -1};

using namespace std;

int main() {
    cin.tie(0);
    ios::sync_with_stdio(false);

    LL N, M;
    cin >> N >> M;

    auto graph = make_v<int>(N, 0);
    FOR(i, 0, M) {
        LL A, B;
        cin >> A >> B;
        A--; B--;
        graph[A].emplace_back(B);
        graph[B].emplace_back(A);
    }

    queue<int> que;
    que.emplace(0);
    auto prev = make_v<int>(N);
    fill_v(prev, -1);
    while (not que.empty()) {
        int u = que.front(); que.pop();

        FOE(v, graph[u]) {
            if (prev[v] == -1) {
                prev[v] = u;
                que.emplace(v);
            }
        }
    }

    print("Yes");
    FOR(i, 1, N) {
        print(prev[i] + 1);
    }

    return 0;
}


Measured memory_bytes: 10096