On the Connectivity of Total Graphs.
Takashi Hamada, Toshio Nonaka, Izumi Yoshimura (1972)
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Takashi Hamada, Toshio Nonaka, Izumi Yoshimura (1972)
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G.A. DIRAC (1961)
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G. CHARTRAND, M.J. STEWART (1969)
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G.A. Dirac (1973)
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E.M. WRIGHT (1969)
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G.A. DIRAC (1964)
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Tudor ZAMFIRESCU (1970)
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G.A. Dirac, G. Thomassen (1973)
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Lucas C. van der Merwe, Cristine M. Mynhardt, Teresa W. Haynes (2001)
Discussiones Mathematicae Graph Theory
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Denote the total domination number of a graph G by γₜ(G). A graph G is said to be total domination edge critical, or simply γₜ-critical, if γₜ(G+e) < γₜ(G) for each edge e ∈ E(G̅). For 3ₜ-critical graphs G, that is, γₜ-critical graphs with γₜ(G) = 3, the diameter of G is either 2 or 3. We characterise the 3ₜ-critical graphs G with diam G = 3.
A.G. O&amp;#039;Farrell, K.J. Preskenis, D. Walsh (1984)
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Dino J. Lorenzini (1989)
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Richard Weiss (1993)
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