import java.util.*;
import java.io.*;

public class Main {

    public static void main(String[] args) {
        FastScanner sc = new FastScanner();
        int n = sc.nextInt();
        int m = sc.nextInt();

        Node[] rooms = new Node[n];
        for (int i = 0; i < rooms.length; i++) {
            rooms[i] = new Node(i);
        }
        for (int i = 0; i < m; i++) {
            int a = sc.nextInt() - 1;
            int b = sc.nextInt() - 1;
            rooms[a].addNext(b);
            rooms[b].addNext(a);
        }

        ArrayDeque<Integer[]> que = new ArrayDeque<Integer[]>();
        boolean[] use = new boolean[n];
        use[0] = true;
        que.add(new Integer[]{0, 0});
        while(!que.isEmpty()){
            Integer[] mm = que.poll();
            rooms[mm[0]].ans = mm[1];
            for (int i = 0; i < rooms[mm[0]].next.size(); i++) {
                int mnext = rooms[mm[0]].next.get(i);
                if(!use[mnext]){
                    que.add(new Integer[]{mnext, mm[0]});
                    use[mnext] = true;
                }
            }
        }

        System.out.println("Yes");

        for (int i = 1; i < rooms.length; i++) {
            System.out.println(rooms[i].ans + 1);
        }

    }

    private static class FastScanner {
        private final InputStream in = System.in;
        private final byte[] buffer = new byte[1024];
        private int ptr = 0;
        private int buflen = 0;
        private boolean hasNextByte() {
            if (ptr < buflen) {
                return true;
            }else{
                ptr = 0;
                try {
                    buflen = in.read(buffer);
                } catch (IOException e) {
                    e.printStackTrace();
                }
                if (buflen <= 0) {
                    return false;
                }
            }
            return true;
        }
        private int readByte() { if (hasNextByte()) return buffer[ptr++]; else return -1;}
        private static boolean isPrintableChar(int c) { return 33 <= c && c <= 126;}
        public boolean hasNext() { while(hasNextByte() && !isPrintableChar(buffer[ptr])) ptr++; return hasNextByte();}
        public String next() {
            if (!hasNext()) throw new NoSuchElementException();
            StringBuilder sb = new StringBuilder();
            int b = readByte();
            while(isPrintableChar(b)) {
                sb.appendCodePoint(b);
                b = readByte();
            }
            return sb.toString();
        }
        public long nextLong() {
            if (!hasNext()) throw new NoSuchElementException();
            long n = 0;
            boolean minus = false;
            int b = readByte();
            if (b == '-') {
                minus = true;
                b = readByte();
            }
            if (b < '0' || '9' < b) {
                throw new NumberFormatException();
            }
            while(true){
                if ('0' <= b && b <= '9') {
                    n *= 10;
                    n += b - '0';
                }else if(b == -1 || !isPrintableChar(b)){
                    return minus ? -n : n;
                }else{
                    throw new NumberFormatException();
                }
                b = readByte();
            }
        }
        public int nextInt() {
            long nl = nextLong();
            if (nl < Integer.MIN_VALUE || nl > Integer.MAX_VALUE) throw new NumberFormatException();
            return (int) nl;
        }
        public double nextDouble() { return Double.parseDouble(next());}
    }
}

class Node{
    int id;
    ArrayList<Integer> next;
    int ans;
    public Node(int id){
        this.id = id;
        next = new ArrayList<Integer>();
    }

    public void addNext(int next){
        this.next.add(next);
    }
}



Measured memory_bytes: 73648