Opuscula Math. 32, no. 4 (2012), 751-760
False alarms in fault-tolerant dominating sets in graphs
Abstract. 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.
Keywords: liar's dominating set, fault-tolerant dominating set, false alarm, Hamming distance.
Mathematics Subject Classification: 05C69, 94B99.
- Received: 2011-06-08.
- Revised: 2012-05-15.
- Accepted: 2012-05-16.