import java.io.PrintWriter

import scala.annotation.tailrec
import scala.collection.immutable.Queue

object Main extends App {
  val sc = new FastScanner
  val N, M = sc.nextInt
  val graph = (0 until M).foldLeft(Vector.fill(N)(List.empty[Int])) { (acc, _) =>
    val A, B = sc.nextInt - 1
    acc.updated(A, B +: acc(A)).updated(B, A +: acc(B))
  }

  val room1 = 0
  val ps = loop(Vector.fill(N)(-1).updated(room1, room1), Queue.empty.enqueueAll(graph(room1).map(_ -> room1)))

  val out = new PrintWriter(System.out)
  out.println("Yes")
  ps.tail.foreach(p => out.println(p + 1))
  out.flush()

  @tailrec def loop(acc: Vector[Int], nexts: Queue[(Int, Int)]): Vector[Int] = nexts.dequeueOption match {
    case Some(((room, prev), rest)) if acc(room) == -1 =>
      loop(acc.updated(room, prev), rest.enqueueAll(graph(room).map(_ -> room)))
    case Some((_, rest)) =>
      loop(acc, rest)
    case _ => acc
  }

}

// https://qiita.com/p_shiki37/items/a0f6aac33bf60f5f65e4
object FastScanner {
  private def isPrintableChar(c: Int) = 33 <= c && c <= 126
}

class FastScanner {
  private[this] val in = System.in
  private[this] val buffer = new Array[Byte](1024)
  private[this] var ptr = 0
  private[this] var buflen = 0

  private def hasNextByte: Boolean =
    if (ptr < buflen) true
    else {
      ptr = 0
      buflen = in.read(buffer)
      buflen > 0
    }

  private def readByte: Byte =
    if (hasNextByte) {
      ptr += 1
      buffer(ptr - 1)
    } else -1

  def hasNext: Boolean = {
    while (hasNextByte && !FastScanner.isPrintableChar(buffer(ptr))) ptr += 1
    hasNextByte
  }

  def next: String = {
    if (!hasNext) throw new NoSuchElementException
    val sb = new java.lang.StringBuilder
    var b = readByte
    while (FastScanner.isPrintableChar(b)) {
      sb.appendCodePoint(b)
      b = readByte
    }
    sb.toString
  }

  def nextLong: Long = {
    if (!hasNext) throw new NoSuchElementException
    var n = 0
    var minus = false
    var b = readByte
    if (b == '-') {
      minus = true
      b = readByte
    }
    if (b < '0' || '9' < b) throw new NumberFormatException

    @tailrec def loop(): Long = {
      if ('0' <= b && b <= '9') {
        n *= 10
        n += b - '0'
        b = readByte
        loop()
      } else if (b == -1 || !FastScanner.isPrintableChar(b)) {
        if (minus) -n else n
      } else throw new NumberFormatException
    }

    loop()
  }

  def nextInt: Int = {
    val nl = nextLong
    if (nl < Integer.MIN_VALUE || nl > Integer.MAX_VALUE) throw new NumberFormatException
    nl.toInt
  }

  def nextDouble: Double = next.toDouble
}