Total Domination
Locating Total Domination Number in Strong Product of Two Paths
... Considering the problem of monitor placement in a monitoring system, each node (consisting of the monitoring device) is linked to the monitor and is modeled by graphs’ total-domination. If someone goes ...
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Total Domination Number and Chromatic Number of a Fuzzy Graph
... number of colours required to colour all the vertices such that adjacent vertices do not receive the same colour is the chromatic number (G). For any graph G a complete sub graph of G is called a clique of G. In this ...
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Inverse and Disjoint Secure Total Domination in Graphs
... secure total dominating set of G. If V – D contains a secure total dominating set D' of G, then D' is called an inverse secure total dominating set with respect to ...secure total ...
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Signed Edge Total Domination on Rooted Product Graphs
... 2-tuple domination problem on trapezoid ...about total domination related parameters and in [1, 13] have found some results on signed edge domination ...about total edge ...
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Total Domination in Fuzzy Graphs Using Strong Arcs
... of domination in graphs was introduced by Ore and Berge in 1962 ,and further studied by Cockayne and Hedetniemi ...introduced total domination in fuzzy graphs using effective edges ...the ...
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The Disjoint Total Domination Number of a Graph
... disjoint total domination number of a graph G is the minimum cardinality of the union of two disjoint total dominating sets in ...a total dominating ...
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Domination Numbers, Chromatic Numbers and Total Domination Numbers of all Powers of Cycles using a Circular Arc Graph G
... of domination, chromatic number and total domination the most often discussed is a communication ...the domination numbers, Chromatic numbers and Total domination numbers of all ...
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On total domination and total equitable domination in graphs
... of domination has been remained in the focus of many researchers because of its applications in variety of fields such as linear algebra, optimization, social science, de- sign of communication networks and ...
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International Journal of Scientific Research and Reviews The Upper Total Edge Domination Number of a Graph
... The domination number ( ) of is the minimum cardinality of a dominating set of ....A total dominating set of a connected graph is a set of vertices of such that every vertex is adjacent to a vertex in ...a ...
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JUST TOTAL EXCELLENT DOMINATION IN FUZZY GRAPHS
... introduced total domination in fuzzy graphs using effective ...of domination in fuzzy graphs has been growing very fast and has numerous application in various ...
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ON TOTAL VERTEX-EDGE DOMINATION
... The domination number of a graph G is denoted with γ(G) and it is equal to the minimum cardinality of a dominating set in ...a total domination set if every vertex of S has a neighbor in ...The ...
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Classification Graphs with Large Strong Roman Domination Number
... the total domination number of G and is denoted by t G . A total dominating set of G of cardinality t G is called a t G set , see ...independent domination number of G , ...
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On Roman, Global and Restrained Domination in Graphs
... global domination and Roman domi- nation numbers and also prove that these results are asymptotically best ...restrained domination and total restrained domination numbers for large classes of ...
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Total Roman Domination in an Interval Graph with Alternate Cliques of Size 3
... A total dominating set of a graph G with no isolated vertices is a set S of vertices of G such that every vertex in V(G) is adjacent to at least one vertex in ...a total dominating set is called as ...
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Paired, Total, and Connected Domination on the Queen’s Graph Revisited
... with total domination on the queen’s graph has a long and rich history, first having been posed by Ahrens in 1910 ...three domination parameters on the queen’s ...of total, paired, and ...
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Total global neighbourhood domination
... the domination number have been ...a total dominating set [3] if and only if every vertex in V is adjacent to a distinct vertex in ...The total domination number of G, denoted by γ t (G) is ...
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Non Split Domination on Intuitionistic Fuzzy Graphs
... of domination in graphs. Cockayne [5] introduced the independent domination number in ...independent domination, connected domination in fuzzy ...set, domination number, independent ...
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Bounds for Domination Parameters in Cayley Graphs on Dihedral Group
... of domination for Cayley graphs has been studied by various authors ...efficient domination number for vertex transitive graphs has been obtained by Jia Huang and Jun-Ming Xu ...perfect domination ...
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Vol 3, No 4 (2012)
... a total dominating set if every vertex u ∈ V is adjacent to an element of ...The domination number of a graph, denoted by γ(G), is the minimum cardinality of the dominating sets in ...The total ...
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Domination parameters of split graphs
... the total bondage number and total domination number of windmill graph, friendship graph, circular necklace graph, helm graph, wheel graph ...a total dominating ...
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