Corrigendum to: Independent Transversal Domination in Graphs [Discuss. Math. Graph Theory 32 (2012) 5–17]

Abstract

In [Independent transversal domination in graphs, Discuss. Math. Graph Theory 32 (2012) 5–17], Hamid claims that if G is a connected bipartite graph with bipartition {X, Y } such that |X| ≤ |Y| and |X| = γ(G), then γit(G) = γ(G) + 1 if and only if every vertex x in X is adjacent to at least two pendant vertices. In this corrigendum, we give a counterexample for the sufficient condition of this sentence and we provide a right characterization. On the other hand, we show an example that disproves a construction which is given in the same paper.

Keywords

• domination
• independent
• transversal
• covering
• matching
• 05c69