TY - JOUR ID - Lemańska2004 LB - Lemańska2004 AU - Lemańska, Magdalena TI - Weakly convex and convex domination numbers ST - Weakly convex and convex domination numbers JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2004 VL - 24 IS - 2 SP - 181 EP - 188 DO - http://dx.doi.org/10.7494/OpMath.2004.24.2.181 UR - http://dx.doi.org/10.7494/OpMath.2004.24.2.181 AB - Two new domination parameters for a connected graph \(G\): the weakly convex domination number of \(G\) and the convex domination number of \(G\) are introduced. Relations between these parameters and the other domination parameters are derived. In particular, we study for which cubic graphs the convex domination number equals the connected domination number. KW - dominating set KW - connected domination number KW - distance KW - isometric set KW - convex set SN - 1232-9274 ER -