@Article{Cichacz2010, author = "Cichacz, Sylwia", title = "2-splittable and cordial graphs", journal = "Opuscula Math.", year = "2010", volume = "30", number = "1", pages = "61--67", doi = "http://dx.doi.org/10.7494/OpMath.2010.30.1.61", url = "http://dx.doi.org/10.7494/OpMath.2010.30.1.61", abstract = "E. Miller and G. E. Stevens proved in [E. Miller, G. E. Stevens, Some graphs for which even size is sufficient for splittability, Congressus Numerantium 173 (2005), 137–147] the existence of certain families of \(2\)-splittable caterpillars. In this paper we characterize other families of \(2\)-splittable caterpillars. Moreover, we show that for some of them there exists a friendly labeling inducing two isomorphic subgraphs.", keywords = "cordial graphs, \(2\)-splittable graphs", issn = "1232-9274" }