# B1-EPG representations using block-cutpoint trees

@article{Luca2021B1EPGRU, title={B1-EPG representations using block-cutpoint trees}, author={Vitor Tocci F. de Luca and Fabiano S. Oliveira and Jayme Luiz Szwarcfiter}, journal={ArXiv}, year={2021}, volume={abs/2106.05312} }

In this paper, we are interested in the edge intersection graphs of paths of a grid where each path has at most one bend, called B1-EPG graphs and first introduced by Golumbic et al (2009). We also consider a proper subclass of B1-EPG, the x-EPG graphs, which allows paths only in “x” shape. We show that two superclasses of trees are B1-EPG (one of them being the cactus graphs). On the other hand, we show that the block graphs are x-EPG and provide a linear time algorithm to produce x-EPG…

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