@file:Suppress("DuplicatedCode")

import java.io.IOException
import java.io.InputStream
import java.io.PrintWriter
import java.util.*

fun main(args: Array<String>) {
    PrintWriter(System.out).use { out ->
        D.solve(D.FastScanner(), out)
        out.flush()
    }
}

private fun D.solve(sc: D.FastScanner, out: PrintWriter) {
    val n = sc.nextInt()
    val m = sc.nextInt()
    
    val rinsetu = Array(n) { mutableListOf<Int>() }
    val result = IntArray(n) { -1 }

    repeat(m) {
        val a = sc.nextInt() - 1
        val b = sc.nextInt() - 1
        rinsetu[a].add(b)
        rinsetu[b].add(a)
    }

    val queue = ArrayDeque<IntArray>()
    rinsetu[0].forEach {
        queue.add(intArrayOf(0, it))
    }
    result[0] = 0

    while (queue.isNotEmpty()) {
        val (from, to) = queue.remove()
        if (result[to] >= 0) continue
        result[to] = from + 1
        rinsetu[to].forEach {
            if (result[it] < 0) queue.add(intArrayOf(to, it))
        }
    }

    if (result.any { it < 0 }) {
        out.println("No")
    } else {
        out.println("Yes")
        for (i in 1 until n) {
            out.println(result[i])
        }
    }
}

@Suppress("MemberVisibilityCanBePrivate")
private object D {
    private const val zeroCode = '0'.toInt()
    private const val nineCode = '9'.toInt()

    class FastScanner {
        private val `in`: InputStream = System.`in`
        private val buffer = ByteArray(2048)
        private var ptr = 0
        private var buflen = 0

        private fun hasNextByte(): Boolean {
            if (ptr < buflen) {
                return true
            } else {
                ptr = 0
                try {
                    buflen = `in`.read(buffer)
                } catch (e: IOException) {
                    e.printStackTrace()
                }
                if (buflen <= 0) {
                    return false
                }
            }
            return true
        }

        private fun readByte(): Byte = if (hasNextByte()) buffer[ptr++] else -1

        private fun readByteAsInt(): Int = if (hasNextByte()) buffer[ptr++].toInt() else -1

        operator fun hasNext(): Boolean {
            while (hasNextByte() && !isPrintableChar(buffer[ptr])) ptr++
            return hasNextByte()
        }

        operator fun next(): String {
            if (!hasNext()) throw NoSuchElementException()

            return buildString {
                var b = readByteAsInt()

                while (isPrintableChar(b)) {
                    appendCodePoint(b)
                    b = readByteAsInt()
                }
            }
        }

        fun toCharIterator(): CharIterator = object : CharIterator() {
            private var nextByte: Byte = readByte()

            override fun hasNext(): Boolean = isPrintableChar(nextByte)

            override fun nextChar(): Char {
                val res = nextByte
                nextByte = readByte()
                return res.toChar()
            }

        }

        fun nextLong(): Long {
            if (!hasNext()) throw NoSuchElementException()
            var n: Long = 0
            var minus = false
            var b = readByteAsInt()

            if (b == '-'.toInt()) {
                minus = true
                b = readByteAsInt()
            }

            if (b !in zeroCode..nineCode) {
                throw NumberFormatException()
            }

            while (true) {
                if (b in zeroCode..nineCode) {
                    n *= 10
                    n += b - zeroCode.toLong()
                } else if (b == -1 || !isPrintableChar(b)) {
                    return if (minus) -n else n
                } else {
                    throw NumberFormatException()
                }

                b = readByteAsInt()
            }
        }

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

        fun nextDouble(): Double {
            return next().toDouble()
        }

        fun readIntArray(n: Int): IntArray {
            val arr = IntArray(n)

            for (i in 0 until n) {
                arr[i] = nextInt()
            }

            return arr
        }

        fun readBigInt(capacity: Int): IntArray {
            if (!hasNext()) throw NoSuchElementException()

            val arr = IntArray(capacity)
            var len = 0
            arr[0] = readByteAsInt() - zeroCode
            while (arr[len] in 0..9) {
                len++
                arr[len] = readByteAsInt() - zeroCode
            }

            return arr.sliceArray(0 until len)
        }

        companion object {
            private inline fun isPrintableChar(c: Int): Boolean {
                return c in 33..126
            }

            private inline fun isPrintableChar(c: Byte): Boolean {
                return c in 33..126
            }
        }
    }

    class BitSet(capacity: Int) {
        val bitset = java.util.BitSet(capacity)

        val cardinality: Int
            get() = bitset.cardinality()

        override fun equals(other: Any?) = (other as? BitSet)?.let { it.bitset == bitset } ?: false

        operator fun set(n: Int, f: Boolean) {
            if (f) {
                bitset.set(n)
            } else {
                bitset.clear(n)
            }
        }

        operator fun get(n: Int) = bitset[n]

        fun trueIterator(startIndex: Int = 0) = object: IntIterator() {
            var nextPos = bitset.nextSetBit(startIndex)

            override fun hasNext() = nextPos in 0 until Int.MAX_VALUE

            override fun nextInt(): Int {
                val value = nextPos
                nextPos = bitset.nextSetBit(nextPos + 1)
                return value
            }
        }

        fun falseIterator(startIndex: Int = 0) = object: IntIterator() {
            var nextPos = bitset.nextClearBit(startIndex)

            override fun hasNext() = nextPos in 0 until Int.MAX_VALUE

            override fun nextInt(): Int {
                val value = nextPos
                nextPos = bitset.nextClearBit(nextPos + 1)
                return value
            }
        }

        fun trueIteratorReversed(startIndex: Int = bitset.length() - 1) = object: IntIterator() {
            var nextPos = bitset.previousSetBit(startIndex)

            override fun hasNext() = nextPos >= 0

            override fun nextInt(): Int {
                val value = nextPos
                nextPos = bitset.previousSetBit(nextPos - 1)
                return value
            }
        }

        fun falseIteratorReversed(startIndex: Int = bitset.length() - 1) = object: IntIterator() {
            var nextPos = bitset.previousClearBit(startIndex)

            override fun hasNext() = nextPos >= 0

            override fun nextInt(): Int {
                val value = nextPos
                nextPos = bitset.previousClearBit(nextPos - 1)
                return value
            }
        }

        fun and(other: BitSet) {
            bitset.and(other.bitset)
        }

        fun or(other: BitSet) {
            bitset.or(other.bitset)
        }

        fun xor(other: BitSet) {
            bitset.xor(other.bitset)
        }

        fun andNot(other: BitSet) {
            bitset.andNot(other.bitset)
        }
    }
}


Measured memory_bytes: 70200