Characterizes bipartite graphs with γ_t(G)=γ_gr^t(G)=4, proves no connected chordal graphs have this equality at 4, and characterizes regular bipartite graphs with equality at 6 via correspondence to finite projective planes.
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On graphs with equal total domination and Grundy total domination number
Characterizes bipartite graphs with γ_t(G)=γ_gr^t(G)=4, proves no connected chordal graphs have this equality at 4, and characterizes regular bipartite graphs with equality at 6 via correspondence to finite projective planes.