Relationship among B1-EPG, VPT and EPT Graphs Classes
This research contains as a main result the proof that every chordal B1-EPG graph is simultaneously in the graph classes VPT and EPT. In addition, we describe structures that must be present in any B1-EPG graph which does not admit a Helly-B1-EPG representation. In particular, this paper presents so...
| Authors: | , , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2023 |
| Country: | Argentina |
| Institution: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repository: | CONICET Digital (CONICET) |
| Language: | English |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/221977 |
| Online Access: | http://hdl.handle.net/11336/221977 |
| Access Level: | Open access |
| Keyword: | EDGE-INTERSECTION GRAPH OF PATHS IN A TREE EDGE-INTERSECTION OF PATHS ON A GRID HELLY PROPERTY INTERSECTION GRAPHS SINGLE BEND PATHS VERTEX-INTERSECTION GRAPH OF PATHS IN A TREE https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Summary: | This research contains as a main result the proof that every chordal B1-EPG graph is simultaneously in the graph classes VPT and EPT. In addition, we describe structures that must be present in any B1-EPG graph which does not admit a Helly-B1-EPG representation. In particular, this paper presents some features of non-trivial families of graphs properly contained in Helly-B1-EPG, namely bipartite, block, cactus and line graphs of bipartite graphs. |
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