We put forward the concept of measure graphs. These are (possibly uncountable) graphs equipped with an action of a groupoid and a measure invariant under this action. Examples include finite graphs, ...

ROLLERCOASTER RIDE: Desmos is up to more math goodness with the recent addition of Function Carnival, developed in collaboration with Dan Meyer and Christopher Danielson. Function Carnival helps ...

This paper introduces four alternative representations of a set function: the Möbius transformation, the co-Möbius transformation, and the interactions between elements of any subset of a given set as ...

Abstract: The traditional topology-based metrics for assessing node criticality may fall short in highly heterogeneous multilayer networks. This work introduces a novel modeling framework that ...