using System;
using System.Text;
using System.Linq;
using System.Collections;
using System.Collections.Generic;
using static System.Console;
using static System.Math;

namespace AtCoder
{
    public class Program
    {
        public static void Main(string[] args)
        {
            new Program().Solve(new ConsoleInput(Console.In, ' '));
        }

        public void Solve(ConsoleInput cin)
        {
            var N = cin.ReadInt;
            var M = cin.ReadInt;

            var root = new List<int>[N];
            for (int i = 0; i < N; i++)
            {
                root[i] = new List<int>();
            }

            for (int i = 0; i < M; i++)
            {
                var a = cin.ReadInt;
                var b = cin.ReadInt;
                root[a - 1].Add(b);
                root[b - 1].Add(a);
            }
            //Display(root);

            var que = new Queue<int>();

            var stones = new int[N];
            stones[0] = 1;

            que.Enqueue(1);
            var ansStones = SetStones(que, stones, root);
            var canSolve = true;

            for (int i = 1; i < N; i++)
            {
                if (ansStones[i] == 0) 
                {
                    canSolve = false;
                    break;
                }
            }

            if (canSolve)
            {
                WriteLine("Yes");
                for (int i = 1; i < N; i++)
                {
                    WriteLine(ansStones[i]);
                }
            }
            else
            {
                WriteLine("No");
            }
            
        }

        public int[] SetStones(Queue<int> que, int[] stones ,List<int>[] root)
        {
            if (que.Count == 0) return stones;

            var now = que.Dequeue();
            var nexts = root[now - 1];

            foreach (var next in nexts)
            {
                if (stones[next - 1] == 0) 
                {
                    stones[next - 1] = now;
                    que.Enqueue(next);
                }
            }
            //Display(stones);
            return SetStones(que,stones,root);
        }

        public void Display(int[] array)
        {
            var txt = "";
            foreach (var item in array)
            {
                txt += " " + item.ToString();
            }
            WriteLine("{0}", txt);
        }

        public void Display(int index,int[] array)
        {
            var txt = "";
            foreach (var item in array)
            {
                txt += " " + item.ToString();
            }
            WriteLine("{0} : {1}", index,txt);
        }

        public void Display(List<int>[] list) 
        {
            for (int i = 0; i < list.Length; i++)
            {
                Display(i, list[i].ToArray());
            }
        }
    }

    public class ConsoleInput
    {
        private readonly System.IO.TextReader _stream;
        private char _separator = ' ';
        private Queue<string> inputStream;
        public ConsoleInput(System.IO.TextReader stream, char separator = ' ')
        {
            this._separator = separator;
            this._stream = stream;
            inputStream = new Queue<string>();
        }

        public string Read
        {
            get
            {
                if (inputStream.Count != 0) return inputStream.Dequeue();
                string[] tmp = _stream.ReadLine().Split(_separator);
                for (int i = 0; i < tmp.Length; i++)
                    inputStream.Enqueue(tmp[i]);
                return inputStream.Dequeue();
            }
        }

        public string ReadLine { get { return _stream.ReadLine(); } }
        public int ReadInt { get { return int.Parse(Read); } }
        public long ReadLong { get { return long.Parse(Read); } }
        public double ReadDouble { get { return double.Parse(Read); } }
        public string[] ReadStrArray(long N) { var ret = new string[N]; for (long i = 0; i < N; ++i) ret[i] = Read; return ret; }
        public int[] ReadIntArray(long N) { var ret = new int[N]; for (long i = 0; i < N; ++i) ret[i] = ReadInt; return ret; }
        public long[] ReadLongArray(long N) { var ret = new long[N]; for (long i = 0; i < N; ++i) ret[i] = ReadLong; return ret; }
    }
}


Measured memory_bytes: 59952