Let less than or equal to be the induced-minor relation, It is shown t
hat, for every t, all chordal graphs of clique number at most t are we
ll-quasi-ordered by less than or equal to. On the other hand, if the b
ound on clique number is dropped, even the class of interval graphs is
not well-quasi-ordered by less than or equal to. (C) 1998 John Wiley
& Sons, Inc.