  Recently, Chen and Sbert proposed a general divergence measure. This report
presents some interim findings about the question whether the divergence
measure is a metric or not. It has been postulated that (i) the measure might
be a metric when (0 < k <= 1), and (ii) the k-th root of the measure might be a
metric when (k > 1). The report shows that for a 2-letter alphabet, postulation
(i) can be proved. The possible pathway for obtaining a proof for (i) in
n-letter cases is also discussed. The authors hope that the report may
stimulate more scholarly effort to study the mathematical properties of this
divergence measure.
