Cover-incomparability graphs and 2-colored diagrams of posets

Abstract

As a continuation of the study of cover-incomparability graphs of posets (C-I graphs), the notion of 2-colored diagrams is introduced and used in characterizations of posets whose C-I graphs belong to certain natural classes of graphs. As a particular instance, posets whose C-I graphs are chordal are characterized using a single 2-colored diagram. Some other instances are characterized in a similar way.