On B_1-EPG and EPT graphs

07/06/2020

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by   Liliana Alcón, et al.

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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.