The article as appears in sciencedaily seems to be talking about a star that either vanishes, or a star that suddenly appears, rather than stars that vanish and then reappear.
''A project lead by an international team of researchers use publicly available data with images of the sky dating as far back as to the 1950s to try to detect and analyse objects that have disappeared over time. In the project "Vanishing & Appearing Sources during a Century of Observations" (VASCO), they have particularly looked for objects that may have existed in old military sky catalogues from the 1950s, not to be found again in modern sky surveys. Among the physical indicators that they are looking for are stars that have vanished in the Milky Way.
"Finding an actually vanishing star -- or a star that appears out of nowhere! -- would be a precious discovery and certainly would include new astrophysics beyond the one we know of today," says project leader Beatriz Villarroel, Stockholm University and Instituto de Astrofísica de Canarias, Spain.'' [Bolding mine]
''"But we are clear that none of these events have shown any direct signs of being ETI. We believe that they are natural, if somewhat extreme, astrophysical sources," says Martin López Corredoira, co-author of the paper, Instituto de Astrofísica de Canarias, Spain.''
https://www.sciencedaily.com/release...1212105854.htm
So this isn't about the same star vanishing and then reappearing.
Mentioned in the article also are
very variable objects which flare up for a time ''at least 8-9 magnitudes, or several thousand times brighter, in a very short time.''