from collections import deque

def main():
    N,M = map(int, input().split())
    r = [[] for i in range(N)]
    for i in range(M):
        a, b = map(int, input().split())
        r[a-1].append(b-1)
        r[b-1].append(a-1)
    print(r)

    p=[-1]*N
    q=deque([0])
    while q:
        i=q.popleft()
        for j in r[i]:
            if p[j] == -1:
                p[j] = i
                q.append(j)
    print('Yes')
    for i in range(1,N):
        print(p[i]+1)

main()