TY - JOUR ID - Cichacz2010 LB - Cichacz2010 AU - Cichacz, Sylwia TI - 2-splittable and cordial graphs ST - 2-splittable and cordial graphs JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2010 VL - 30 IS - 1 SP - 61 EP - 67 DO - http://dx.doi.org/10.7494/OpMath.2010.30.1.61 UR - http://dx.doi.org/10.7494/OpMath.2010.30.1.61 AB - 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. KW - cordial graphs KW - \(2\)-splittable graphs SN - 1232-9274 ER -