TY - JOUR ID - Nikodem2012 LB - Nikodem2012 AU - Nikodem, Mateusz TI - False alarms in fault-tolerant dominating sets in graphs ST - False alarms in fault-tolerant dominating sets in graphs JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2012 VL - 32 IS - 4 SP - 751 EP - 760 DO - http://dx.doi.org/10.7494/OpMath.2012.32.4.751 UR - http://dx.doi.org/10.7494/OpMath.2012.32.4.751 AB - We develop the problem of fault-tolerant dominating sets (liar's dominating sets) in graphs. Namely, we consider a new kind of fault - a false alarm. Characterization of such fault-tolerant dominating sets in three different cases (dependent on the classification of the types of the faults) are presented. KW - liar's dominating set KW - fault-tolerant dominating set KW - false alarm KW - Hamming distance SN - 1232-9274 ER -