TY - JOUR ID - Raczek2018 LB - Raczek2018 AU - Raczek, Joanna TI - On domination multisubdivision number of unicyclic graphs ST - On domination multisubdivision number of unicyclic graphs JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2018 VL - 38 IS - 3 SP - 409 EP - 425 DO - https://doi.org/10.7494/OpMath.2018.38.3.409 UR - https://doi.org/10.7494/OpMath.2018.38.3.409 AB - The paper continues the interesting study of the domination subdivision number and the domination multisubdivision number. On the basis of the constructive characterization of the trees with the domination subdivision number equal to 3 given in [H. Aram, S.M. Sheikholeslami, O. Favaron, Domination subdivision number of trees, Discrete Math. 309 (2009), 622-628], we constructively characterize all connected unicyclic graphs with the domination multisubdivision number equal to 3. We end with further questions and open problems. KW - domination number KW - domination subdivision number KW - domination multisubdivision number KW - trees KW - unicyclic graphs SN - 1232-9274 ER -