using System;
using static System.Console;
using static Atcoder_Template_NetCore3.MyUtil;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Numerics;
using System.Threading.Tasks;
using System.IO;

namespace Atcoder_Template_NetCore3
{
    class Program
    {
        static void Main()
        {
            var (roomCount, routeCount) = ReadInt2();
            //便宜上offset1
            var rooms = new Room[roomCount + 1].Select((x, i) => new Room(i)).ToArray();

            for (int i = 0; i < routeCount; i++)
            {
                var (from, to) = ReadInt2();
                rooms[from].CanMoveTo.Add(rooms[to]);
                rooms[to].CanMoveTo.Add(rooms[from]);
            }

            var list = new List<Room>();
            rooms[1].Cost = 0;
            list.Add(rooms[1]);

            for (int currentCost = 1; list.Count > 0; currentCost++)
            {
                var nextList = new List<Room>();
                foreach (var room in list)
                {
                    foreach (var nextRoom in room.CanMoveTo)
                    {
                        if (nextRoom.Cost > currentCost)
                        {
                            nextRoom.Cost = currentCost;
                            nextRoom.MoveTo = room;

                            nextList.Add(nextRoom);
                        }
                    }
                }
                list = nextList;
            }

            WriteLine("Yes");
            var stringBuilder = new StringBuilder();
            for (int i = 2; i < rooms.Length; i++)
            {
                stringBuilder.AppendLine(rooms[i].MoveTo.RoomIndex.ToString());
            }
            Write(stringBuilder.ToString());
        }

        class Room
        {
            public Room(int roomIndex) => RoomIndex = roomIndex;

            public int RoomIndex { get; }

            public List<Room> CanMoveTo { get; } = new List<Room>();

            public Room MoveTo { get; set; }

            public int Cost { get; set; } = int.MaxValue;
        }
    }

    static class MyUtil
    {
        /// <summary>
        /// 指定の桁のビットを取得します。
        /// </summary>
        /// <param name="num"></param>
        /// <param name="count">取得する桁。</param>
        /// <returns></returns>
        public static int GetBit(this int num, int count)
        {
            int mask = (int)Math.Pow(2, count - 1);
            return (num & mask) == 0 ? 0 : 1;
        }

        /// <summary>
        /// <c>int</c>を2進数ビット配列に変換します。
        /// </summary>
        /// <param name="num"></param>
        /// <returns></returns>
        public static int[] ToBitArray(this int num)
        {
            const int size = sizeof(int) * 8;
            var array = new int[size];
            for (int i = 0; i < size; i++)
            {
                array[i] = num.GetBit(size - i);
            }
            return array;
        }

        #region AutoGeneratedCode 整数読み取り系
        public static ValueTuple<int, int> ReadInt2()
        {
            var input = Console.ReadLine().Split(' ').Select(s => int.Parse(s)).ToArray();
            return (input[0], input[1]);
        }
        public static ValueTuple<long, long> ReadLong2()
        {
            var input = Console.ReadLine().Split(' ').Select(s => long.Parse(s)).ToArray();
            return (input[0], input[1]);
        }
        public static ValueTuple<int, int, int> ReadInt3()
        {
            var input = Console.ReadLine().Split(' ').Select(s => int.Parse(s)).ToArray();
            return (input[0], input[1], input[2]);
        }
        public static ValueTuple<long, long, long> ReadLong3()
        {
            var input = Console.ReadLine().Split(' ').Select(s => long.Parse(s)).ToArray();
            return (input[0], input[1], input[2]);
        }
        public static ValueTuple<int, int, int, int> ReadInt4()
        {
            var input = Console.ReadLine().Split(' ').Select(s => int.Parse(s)).ToArray();
            return (input[0], input[1], input[2], input[3]);
        }
        public static ValueTuple<long, long, long, long> ReadLong4()
        {
            var input = Console.ReadLine().Split(' ').Select(s => long.Parse(s)).ToArray();
            return (input[0], input[1], input[2], input[3]);
        }
        public static ValueTuple<int, int, int, int, int> ReadInt5()
        {
            var input = Console.ReadLine().Split(' ').Select(s => int.Parse(s)).ToArray();
            return (input[0], input[1], input[2], input[3], input[4]);
        }
        public static ValueTuple<long, long, long, long, long> ReadLong5()
        {
            var input = Console.ReadLine().Split(' ').Select(s => long.Parse(s)).ToArray();
            return (input[0], input[1], input[2], input[3], input[4]);
        }
        public static ValueTuple<int, int, int, int, int, int> ReadInt6()
        {
            var input = Console.ReadLine().Split(' ').Select(s => int.Parse(s)).ToArray();
            return (input[0], input[1], input[2], input[3], input[4], input[5]);
        }
        public static ValueTuple<long, long, long, long, long, long> ReadLong6()
        {
            var input = Console.ReadLine().Split(' ').Select(s => long.Parse(s)).ToArray();
            return (input[0], input[1], input[2], input[3], input[4], input[5]);
        }
        public static ValueTuple<int, int, int, int, int, int, int> ReadInt7()
        {
            var input = Console.ReadLine().Split(' ').Select(s => int.Parse(s)).ToArray();
            return (input[0], input[1], input[2], input[3], input[4], input[5], input[6]);
        }
        public static ValueTuple<long, long, long, long, long, long, long> ReadLong7()
        {
            var input = Console.ReadLine().Split(' ').Select(s => long.Parse(s)).ToArray();
            return (input[0], input[1], input[2], input[3], input[4], input[5], input[6]);
        }
        #endregion
        /// <summary>
        /// 標準入力からスペース区切りの数値を <see cref="int"/> 配列として読み取ります。
        /// </summary>
        /// <returns></returns>
        public static int[] ReadintArray()
        {
            return ReadLine().Split(' ').Select(s => int.Parse(s)).ToArray();
        }

        /// <summary>
        /// 標準入力からスペース区切りの数値を <see cref="long"/> 配列として読み取ります。
        /// </summary>
        /// <returns></returns>
        public static long[] ReadlongArray()
        {
            return ReadLine().Split(' ').Select(s => long.Parse(s)).ToArray();
        }

        /// <summary>
        /// <see cref="IEnumerable{T}"/>の各要素を並べてコンソールに出力します。各要素の間には半角スペースが一つ入ります。
        /// </summary>
        /// <typeparam name="T"></typeparam>
        /// <param name="ts"></param>
        public static void WriteToConsole<T>(this IEnumerable<T> ts)
        {
            StringBuilder stringBuilder = new StringBuilder();
            foreach (T t in ts)
            {
                stringBuilder.Append(t.ToString());
                stringBuilder.Append(" ");
            }
            stringBuilder.Remove(stringBuilder.Length - 1, 1);
            Console.WriteLine(stringBuilder.ToString());
        }
    }
}


Measured memory_bytes: 60596