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Upper Total Domination

2013
In this chapter we focus on the upper total domination number of a graph. Recall that the upper domination number of a graph G, denoted by Γ(G), is the maximum cardinality of a minimal dominating set in G, while the upper total domination number of G, denoted by Γ t (G), is the maximum cardinality of a minimal TD-set in G.
Michael A. Henning, Anders Yeo
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Total forcing versus total domination in cubic graphs

Applied Mathematics and Computation, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Randy Davila, Michael A. Henning
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SUPERLATIVE TOTAL DOMINATION IN GRAPHS

Electronic Journal of Mathematical Analysis and Applications
Summary: Let \(G= (V, E)\) be a simple graph with no isolated vertices and \(p \geq 3\). A set \(D \subseteq V\) is a dominating set, abbreviated as DS, of a graph \(G\), if every vertex in \(V-D\) is adjacent to some vertex in \(D\), while a total dominating set, abbreviated as TDS, of \(G\) is a set \(T \subseteq V\) such that every vertex in \(G ...
Bankapur, Veena, Chaluvaraju, B.
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Total Dominator Total Chromatic Numbers of Some Graphs

Utilitas Mathematica
Total dominator total coloring of a graph is a total coloring of the graph such that each object of the graph is adjacent or incident to every object of some color class. The minimum namber of the color classes of a total dominator total coloring of a graph is called the total dominator total chromatic number of the graph.
Vusuqi, Leila   +2 more
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Total domination edge critical graphs

1998
A subset \(D\) of the vertex set \(V(G)\) of a graph \(G\) is called total dominating in \(G\), if for each \(x\in V(G)\) there exists a vertex \(y\in D\) adjacent to \(x\). The minimum number of vertices of a total dominating set in \(G\) is the total domination number \(\gamma_t(G)\) of \(G\).
Van Der Merwe, L. C.   +2 more
openaire   +1 more source

Total Roman {2}-domination in graphs

Quaestiones Mathematicae, 2021
Abel Cabrera Martínez   +2 more
exaly  

Total Version of the Domination Game

Graphs and Combinatorics, 2014
Sandi Klavzar   +2 more
exaly  

Total domination in maximal outerplanar graphs II

Discrete Mathematics, 2016
Elizabeth Jonck
exaly  

Domination in fuzzy graphs – I

Pattern Recognition Letters, 1998
A Somasundaram, Somasundaram Subbarayan
exaly  

Total domination in maximal outerplanar graphs

Discrete Applied Mathematics, 2017
Elizabeth Jonck
exaly  

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