  The motivation of this paper is to study the natural quiver of an artinian
algebra, a new kind of quivers, as a tool independing upon the associated basic
algebra.
  In \cite{Li}, the notion of the natural quiver of an artinian algebra was
introduced and then was used to generalize the Gabriel theorem for non-basic
artinian algebras splitting over radicals and non-basic finite dimensional
algebras with 2-nilpotent radicals via pseudo path algebras and generalized
path algebras respectively.
  In this paper, firstly we consider the relationship between the natural
quiver and the ordinary quiver of a finite dimensional algebra. Secondly, the
generalized Gabriel theorem is obtained for radical-graded artinian algebras.
Moreover, Gabriel-type algebras are introduced to outline those artinian
algebras satisfying the generalized Gabriel theorem here and in \cite{Li}. For
such algebras, the uniqueness of the related generalized path algebra and
quiver holds up to isomorphism in the case when the ideal is admissible. For an
artinian algebra, there are two basic algebras, the first is that associated to
the algebra itself; the second is that associated to the correspondent
generalized path algebra. In the final part, it is shown that for a
Gabriel-type artinian algebra, the first basic algebra is a quotient of the
second basic algebra.
  In the end, we give an example of a skew group algebra in which the relation
between the natural quiver and the ordinary quiver is discussed.
