ABSTRACT

A cell sum m an t S on a figure A is an extended real-valued summant such that

So a cell summant S is just an extended real-valued function on the set of all cells I in K since the tags are irrelevant for the evaluation of S under (1). Thus we can set S (I ,t) = S'(7) for cell summants S. Of particular interest are cell summants that are additive, subadditive, or superadditive.