/**
 *    author:	raghuvanshraj
 *    created:	17.05.2020 05:52:32 PM
**/
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>

#define MOD 1000000007
#define MAX 1000000000
#define MIN -1000000000

#define SET_ARR(arr,n,val) for (int i = 0; i < n; ++i) arr[i] = val
#define SET_ARR2D(arr,n,m,val) for (int i = 0; i < n; ++i) for (int j = 0; j < m; ++j) arr[i][j] = val
#define INPUT_ARR(arr,n) for (int i = 0; i < n; ++i) cin >> arr[i];
#define INPUT_ARR2D(arr,n,m) for (int i = 0; i < n; ++i) for (int j = 0; j < m; ++j) cin >> arr[i][j];
#define PRINT_ARR(arr) for (auto x : arr) cout << x << ' '; cout << endl
#define PRINT_ARR2D(arr) for (auto x : arr) { for (auto y : x) cout << y << ' '; cout << endl; }

#define ALL(v) v.begin(), v.end()
#define RALL(v) v.rbegin(), v.rend()

using namespace std;
using namespace __gnu_pbds;

typedef long long LL;
typedef unsigned long long ULL;
typedef long double LD;

template <typename X, typename T>
auto vectors(X x, T a) {
	return vector<T>(x, a);
}

template <typename X, typename Y, typename Z, typename... Zs>
auto vectors(X x, Y y, Z z, Zs... zs) {
	auto cont = vectors(y, z, zs...);
	return vector<decltype(cont)>(x, cont);
}

template <typename T>
using indexed_set = tree<T, null_type,less<T>, rb_tree_tag, tree_order_statistics_node_update>;

template <typename T>
using max_heap = priority_queue<T>;

template <typename T>
using min_heap = priority_queue<T, vector<T>, greater<T>>;

template <
	typename T,
	typename = typename enable_if<is_arithmetic<T>::value, T>::type,
	typename U,
	typename = typename enable_if<is_arithmetic<U>::value, U>::type
>
pair<T,U> operator+(const pair<T,U> &a, const pair<T,U> &b) {
	return {a.first + b.first, a.second + b.second};
}

template <
	typename T,
	typename = typename enable_if<is_arithmetic<T>::value, T>::type,
	typename U,
	typename = typename enable_if<is_arithmetic<U>::value, U>::type
>
pair<T,U> operator-(const pair<T,U> &a, const pair<T,U> &b) {
	return {a.first - b.first, a.second - b.second};
}

template <
	typename T,
	typename = typename enable_if<is_arithmetic<T>::value, T>::type,
	typename U,
	typename = typename enable_if<is_arithmetic<U>::value, U>::type,
	typename V,
	typename = typename enable_if<is_arithmetic<V>::value, V>::type
>
pair<T,U> operator*(const V &a, const pair<T,U> &b) {
	return {a * b.first, a * b.second};
}

template <
	typename T,
	typename = typename enable_if<is_arithmetic<T>::value, T>::type,
	typename U,
	typename = typename enable_if<is_arithmetic<U>::value, U>::type,
	typename V,
	typename = typename enable_if<is_arithmetic<V>::value, V>::type
>
pair<T,U> operator*(const pair<T,U> &b, const V &a) {
	return {a * b.first, a * b.second};
}

template <typename T, typename U>
istream& operator>>(istream &input, pair<T,U> &b) {
	input >> b.first >> b.second;
	return input;
}

template <typename T, typename U>
ostream& operator<<(ostream &output, pair<T,U> &b) {
	output << b.first << ' ' << b.second;
	return output;
}

vector<int> ans;

void bfs(vector<vector<int>> &adj_list, int u, vector<bool> &visited) {
	queue<pair<int,int>> qu;
	qu.push({u,-1});
	visited[u] = true;
	while (not qu.empty()) {
		pair<int,int> curr = qu.front();
		qu.pop();
		int v = curr.first, parent = curr.second;
		// if (ans[v] == -1) {
			ans[v] = parent;
		// }

		for (int x : adj_list[v]) {
			if (not visited[x]) {
				visited[x] = true;
				qu.push({x,v});
			}
		}
	}
}

int main(int argc, char const *argv[]) {
	ios::sync_with_stdio(false);
	cin.tie(0);
	
	int n,m;
	cin >> n >> m;
	ans = vector<int>(n, -1);
	vector<vector<int>> adj_list(n);
	while (m--) {
		int u,v;
		cin >> u >> v;
		u--;
		v--;
		adj_list[u].push_back(v);
		adj_list[v].push_back(u);
	}

	vector<bool> visited(n);
	bfs(adj_list, 0, visited);

	// PRINT_ARR(visited);

	for (int i = 0; i <= n-1; ++i) {
		if (not visited[i]) {
			cout << "No";
			return 0;
		}
	}

	cout << "Yes\n";
	for (int i = 1; i <= n-1; ++i) {
		cout << ans[i]+1 << endl;
	}
	
	return 0;
}

Measured memory_bytes: 10568