  Social impacts and degrees of organization inherent to opinion formation for
interacting agents on networks present interesting questions of general
interest from physics to sociology. We present a quantitative analysis of a
case implying an evolving small size network, i.e. that inherent to the ongoing
debate between modern creationists (most are Intelligent Design (ID) proponents
(IDP)) and Darwin's theory of Evolution Defenders (DED)). This study is carried
out by analyzing the structural properties of the citation network unfolded in
the recent decades by publishing works belonging to members of the two
communities. With the aim of capturing the dynamical aspects of the interaction
between the IDP and DED groups, we focus on $two$ key quantities, namely, the
{\it degree of activity} of each group and the corresponding {\it degree of
impact} on the intellectual community at large. A representative measure of the
former is provided by the {\it rate of production of publications} (RPP),
whilst the latter can be assimilated to the{\it rate of increase in citations}
(RIC). These quantities are determined, respectively, by the slope of the time
series obtained for the number of publications accumulated per year and by the
slope of a similar time series obtained for the corresponding citations. The
results indicate that in this case, the dynamics can be seen as geared by
triggered or damped competition. The network is a specific example of marked
heterogeneity in exchange of information activity in and between the
communities, particularly demonstrated through the nodes having a high
connectivity degree, i.e. opinion leaders.
