using System;
using System.Collections;
using System.Collections.Generic;
using System.Linq;
using System.IO;
using System.Text;
using System.Globalization;
using System.Diagnostics;
 
class Solve
{
    
    public Solve() { }
    public static int Main()
    {
        new Solve().calc();
        return 0;
    }
 
 
    Scanner cin;
 
    void calc()
    {
        cin = new Scanner();
        var N = cin.nextInt();
        var M = cin.nextInt();
        var graph = new List<List<int>>();
        var dist = new List<int>();
        var from = new List<int>();
        for (var i = 0; i < N; i++)
        {
            graph.Add(new List<int>());
            dist.Add(-1);
            from.Add(int.MaxValue);
        }
        
        for (var i = 0; i < M; i++)
        {
            var indexA = cin.nextInt();
            var indexB = cin.nextInt();

            indexA--;
            indexB--;
            
            graph[indexA].Add(indexB);
            graph[indexB].Add(indexA);
        }

        dist[0] = 0;
        var queue = new Queue<int>();
        queue.Enqueue(0);

        while (queue.Count > 0)
        {
            var q = queue.Dequeue();
            foreach (var v in graph[q])
            {
                if (dist[v] != -1)
                {
                    continue;
                }

                from[v] = q;
                dist[v] = dist[q] + 1;
                queue.Enqueue(v);
            }
        }

        Console.WriteLine("Yes");
        for (var i = 1; i < N; i++)
        {
            var answer = from[i];
            answer++;
            Console.WriteLine(answer);
        }

    }
}
class Modulo
{
    private const int M = 1000000007;
    private readonly int[] m_facs;
    public int Mul(int a, int b)
    {
        return (int)(Math.BigMul(a, b) % M);
    }
    public Modulo(int n)
    {
        m_facs = new int[n + 1];
        m_facs[0] = 1;
        for (int i = 1; i <= n; ++i)
        {
            m_facs[i] = Mul(m_facs[i - 1], i);
        }
    }
    public int Fac(int n)
    {
        return m_facs[n];
    }
    public int Pow(int a, int m)
    {
        switch (m)
        {
        case 0:
            return 1;
        case 1:
            return a;
        default:
            int p1 = Pow(a, m / 2);
            int p2 = Mul(p1, p1);
            return ((m % 2) == 0) ? p2 : Mul(p2, a);
        }
    }
    public int Div(int a, int b)
    {
        return Mul(a, Pow(b, M - 2));
    }
    public int Ncr(int n, int r)
    {
        if (n < r) { return 0; }
        if (n == r) { return 1; }
        int res = Fac(n);
        res = Div(res, Fac(r));
        res = Div(res, Fac(n - r));
        return res;
    }
}
 
class Scanner
{
    string[] s;
    int i;
 
    char[] cs = new char[] { ' ' };
 
    public Scanner()
    {
        s = new string[0];
        i = 0;
    }
 
    public string next()
    {
        if (i < s.Length) return s[i++];
        string st = Console.ReadLine();
        while (st == "") st = Console.ReadLine();
        s = st.Split(cs, StringSplitOptions.RemoveEmptyEntries);
        if (s.Length == 0) return next();
        i = 0;
        return s[i++];
    }
 
    public int nextInt()
    {
        return int.Parse(next());
    }
    public int[] ArrayInt(int N, int add = 0)
    {
        int[] Array = new int[N];
        for (int i = 0; i < N; i++)
        {
            Array[i] = nextInt() + add;
        }
        return Array;
    }
 
    public long nextLong()
    {
        return long.Parse(next());
    }
 
    public long[] ArrayLong(int N, long add = 0)
    {
        long[] Array = new long[N];
        for (int i = 0; i < N; i++)
        {
            Array[i] = nextLong() + add;
        }
        return Array;
    }
 
    public double nextDouble()
    {
        return double.Parse(next());
    }
 
 
    public double[] ArrayDouble(int N, double add = 0)
    {
        double[] Array = new double[N];
        for (int i = 0; i < N; i++)
        {
            Array[i] = nextDouble() + add;
        }
        return Array;
    }
}

Measured memory_bytes: 52100