On B_1-EPG and EPT graphs
share
This research contains as a main result the prove that every Chordal B_1-EPG graph is simultaneously in the graph classes VPT and EPT. In addition, we describe structures that must be present in any B_1-EPG graph which does not admit a Helly-B_1-EPG representation. In particular, this paper presents some features of non-trivial families of graphs properly contained in Helly-B_1 EPG, namely Bipartite, Block, Cactus and Line of Bipartite graphs.
READ FULL TEXT