THEORY AND APPLICATIONS OF CATEGORIES, vol.35, pp.261-325, 2020 (SCI-Expanded)
In this article the notion of virtual double category (also known as fc-multicategory) is extended as follows. While cells in a virtual double category classically have a horizontal multi-source and single horizontal target, the notion of augmented virtual double category introduced here extends the latter notion by including cells with empty horizontal target as well.