import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.ArrayDeque;
import java.util.ArrayList;
import java.util.List;
import java.util.NoSuchElementException;
import java.util.Scanner;
public class Main{
	
	public static void func(List<Integer>[] I, int now, int[] ans) {
		ArrayDeque<Integer> que = new ArrayDeque<>();
		que.add(now);
		
		while(!que.isEmpty()) {
			int x = que.remove();
			
			for(int t: I[x]) {
				if(ans[t] == 0) {
					ans[t] = x;
					que.add(t);
				}
			}
			
		}
		
	}

	public static void main(String[] args) {
		FastScanner stdIn = new FastScanner();
		PrintWriter out = new PrintWriter(System.out);
		
		int n = stdIn.nextInt();
		int m = stdIn.nextInt();
		
		List<Integer>[] list = new List[n+1];
		
		int [] ans = new int[n+1];
		
		for(int i = 1; i <= n; i++) {
			list[i] = new ArrayList<>();
		}
		
		for(int i = 1; i <= m; i++) {
			int a = stdIn.nextInt();
			int b = stdIn.nextInt();
			list[a].add(b);
			list[b].add(a);
		}

		func(list,1,ans);
		
		out.println("Yes");
		
		for(int i = 2; i <= n; i++) {
			out.println(ans[i]);
		}

		out.flush();
	}

}

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());}
}


Measured memory_bytes: 70460