Standard imsets for undirected and chain graphical models

Abstract

We derive standard imsets for undirected graphical models and chain graphical\nmodels. Standard imsets for undirected graphical models are described in terms\nof minimal triangulations for maximal prime subgraphs of the undirected graphs.\nFor describing standard imsets for chain graphical models, we first define a\ntriangulation of a chain graph. We then use the triangulation to generalize our\nresults for the undirected graphs to chain graphs.\n