  This paper is a sequel of our preceding paper (N. Kita: Constructive
characterization for signed analogue of critical graphs I: Principal classes of
radials and semiradials. arXiv preprint, arXiv:2001.00083, 2019). In the
preceding paper, the concepts of radials and semiradials are introduced, and
constructive characterizations for five principal classes of radials and
semiradials are provided. Radials are a common analogue of critical graphs from
matching theory and a class of directed graphs called flowgraphs, whereas
semiradials are a relaxed concept of radials. Five classes of radials and
semiradials, that is, absolute semiradials, strong and almost strong radials,
linear semiradials, and sublinear radials, were defined and characterized in
the paper. In this paper, we use these characterizations to provide a
constructive characterization of general radials and semiradials.
