On $B_1$-EPG and EPT graphs
On $B_1$-EPG and EPT graphs
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.
This paper has been submitted to the journal DMGT in june 2020
- Universidade Federal do Tocantins Brazil
- National University of La Plata Argentina
- Federal University of Tocantins Brazil
FOS: Computer and information sciences, Discrete Mathematics (cs.DM), FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), 05C62 - Graph representations, Computer Science - Discrete Mathematics
FOS: Computer and information sciences, Discrete Mathematics (cs.DM), FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), 05C62 - Graph representations, Computer Science - Discrete Mathematics
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