Distortion of the hyperbolicity constant in minor graphs
Article
Carballosa, W, Pestana, D, Rodríguez, JM et al. (2014). Distortion of the hyperbolicity constant in minor graphs
. 46(1), 57-64. 10.1016/j.endm.2014.08.009
Carballosa, W, Pestana, D, Rodríguez, JM et al. (2014). Distortion of the hyperbolicity constant in minor graphs
. 46(1), 57-64. 10.1016/j.endm.2014.08.009
The main aim in this work is to obtain quantitative information about the distortion of the hyperbolicity constant of the graph G\. e (respectively, G/. e) obtained from the graph G by deleting (respectively, contracting) an arbitrary edge e from it. A graph H is a minor of a graph G if a graph isomorphic to H can be obtained from G by contracting some edges, deleting some edges, and deleting some isolated vertices. Since we deal with connected graphs, our work provides information about the hyperbolicity constant of minor graphs.