Infinite Graphical Frobenius Representations

Graphical representations of clutters

We discuss the use of K-terminal networks to represent arbitrary clutters. A given clutter has many di¤erent representations, and there does not seem to be any set of simple transformations that can be used to transform one representation of a clutter into any other. We observe that for t 2 the class of clutters that can be represented using no more than t terminals is closed under minors, and ...

Infinite-dimensional Group Representations

Graphical Representations and Infinite Virtual Worlds in a Logic and Functional Programming Course

The assignment scheme of our Logic and Functional Programming course has adopted the generation of graphical representations, quadtrees and octrees to teach the different features of this kind of languages: higher order functions, lazy evaluation, polymorphism, logical variables, constraint satisfaction, etc. The use of standard XML vocabularies: SVG for graphics and X3D for virtual worlds enab...

Derivative Meaning in Graphical Representations

This paper reports on the phenomenon that may be called “derivative meaning,” where the basic semantic conventions for certain graphical representation systems give rise to additional informational relations between features of representations and features of the represented. We will discuss several examples of graphical systems, such as the systems of scatter plots, data maps, and tabular repr...

Graphical Representations of Consensus Belief

Graphical models based on conditional independence support concise encodings of the subjective belief of a single agent. A natural question is whether the consensus belief of a group of agents can be represented with equal parsimony. We prove, under relatively mild assumptions, that even if everyone agrees on a common graph topology, no method of combining beliefs can maintain that structure. E...