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CONNECTED SUPER DOMINATION IN GRAPHS
Advances and Applications in Discrete Mathematics, 2018Summary: Let \(G\) be a simple graph. A set \(S\subseteq V(G)\) is a connected super dominating set if for every \(v\in V(G)\backslash S\), there exists an external private neighbor of \(v\) with respect to \(S\) and the subgraph \(\langle S\rangle\) induced by \(S\) is connected. The connected super domination number of \(G\), denoted by \(\gamma_{csp}
Liguarda, Remilou F. +1 more
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Domination and Outer Connected Domination in Maximal Outerplanar Graphs
Graphs and Combinatorics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Connected dominating sets and connected domination polynomials of square of centipedes
Journal of Information and Optimization Sciences, 2016AbstractLet G be a simple connected graph. The connected domination polynomial of G is defined by , where γd(G) is the connected domination number of G. In this paper, we find the connected dominating sets of and a recursive formula is obtained. Also, we construct the connected domination polynomial of and some interesting properties between the ...
A. Vijayan, M. Felix Nes Mabel
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International Journal of Mathematics Trends and Technology, 2015
The concept of connectedness plays crucial role in any meshing. A variety of connectedness has been studied in the literature by considering the existence of a path between any two vertices. A communication network in which a communicating node can send a message to two stations at one stretch will be more effective and economic.
Maneesha Sakalle, Richa Jain
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The concept of connectedness plays crucial role in any meshing. A variety of connectedness has been studied in the literature by considering the existence of a path between any two vertices. A communication network in which a communicating node can send a message to two stations at one stretch will be more effective and economic.
Maneesha Sakalle, Richa Jain
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2-Edge connected dominating sets and 2-Connected dominating sets of a graph
Journal of Combinatorial Optimization, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Hengzhe +2 more
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Connecting domination contracts
Ethnic and Racial Studies, 2017In Black Rights/White Wrongs, Charles Mills continues his critique of contemporary American political philosophy for ignoring issues of racial oppression, and in particular for ignoring the way tha...
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Connected Total Dominating Sets and Connected Total Domination Polynomials of Square of Paths
International Journal of Mathematics Trends and Technology, 2014Let G be a simple connected graph of order n. Let Dct(G, i) be the family of connected total dominating sets in G with cardinality i. The polynomial Dct (G, x) = n i (G) ct dct (G, i) x is called the connected total domination polynomial of G. In this paper, we obtain a recursive formula for dct ( 2 n P , i).
A Vijayan, T. Anitha Baby
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Outer-connected domination in 2-connected cubic graphs
Discrete Mathematics, Algorithms and Applications, 2014A set S of vertices of a graph G is an outer-connected dominating set if every vertex not in S is adjacent to some vertex in S and the subgraph induced by V\S is connected. The outer-connected domination number [Formula: see text] is the minimum size of such a set.
Wang, Shipeng +4 more
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