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SV is an equivalence set of G and S is a dominating set of G. The minimum cardinality of a c-e-d set of
... Let S be a maximal independent set such that V-S is an equivalence ... S . Suppose v is not dominated by S. Then S {v } is independent and V ( S { v }) is ... See full document
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International Journal of Scientific Research and Reviews The Upper Total Edge Domination Number of a Graph
... edge dominating set in a connected graph is called a minimal total edge dominating set if no proper subset of is a total edge dominating set of ...maximum cardinality of a ... See full document
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Triple Domination Number of a Butterfly Graph
... subset D of V(G) is called a triple dominating set of G if every vertex in V is dominated by at least three vertices in ...D. Cardinality of the minimum triple ... See full document
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Secure and Inverse Secure Total Edge Domination and Some Secure and Inverse Secure Fuzzy Domination Parameters
... Let G be a fuzzy graph on (V, E). A subset F of E is called a fuzzy edge dominating set if for every edge in E – F is adjacent to at least one effective edge in ...The ... See full document
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The Upper Total Edge Domination Number of a Graph
... edge dominating set in a connected graph is called a minimal total edge dominating set if no proper subset of is a total edge dominating set of ...maximum cardinality of a ... See full document
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Results on Relatively Prime Dominating Sets in Graphs
... prime dominating set of a graph G. Let G be a non–trivial ...A set S ⊆ V is said to be relatively prime dominating set if it is a dominating set with ... See full document
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On The Upper Open Geodetic Domination Number of a Graph
... the set of all leaves of a graph ...A set of vertices in is called a geodetic dominating set if is both a geodetic set and a dominating ...The minimum cardinality ... See full document
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Connected Total Global Domination in Fuzzy Graphs
... of G and is denoted by i(G). Let G be a fuzzy graph and u be a node in G then there exists node v such that (u ,v) is a strong arc then u dominates ...graph G = (, ) is said to be ... See full document
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The domination parameters of cubic graphs
... of G, and the independent domination number i(G) is the minimum cardinality taken over all maximal independent sets of ...the minimum cardinality of a (minimal) dominating ... See full document
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$\gamma'$-Realizability and Other Musings on Inverse Domination
... graph G, a set D ⊆ V (G) is said to be a dominating set (or just dominating, for short) if for each vertex v 6∈ D, v is adjacent to some vertex of ...a ... See full document
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Majority Neighbourhood Polynomialsofa Graph
... of G induced by v and all vertices adjacent to v ...n G of G is the minimum number of 0 ( ) vertices in a neighborhood set of ...by E. Sampathkumar et al. [5]. Let G = ( V ... See full document
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Graph Neural Network for Minimum Dominating Set
... data set, and pointed out some limitations of Graph Neural Networks when applied to recommender ...connected dominating set in a wireless sensor ...large set of XML formatted ... See full document
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The Total Dominating Graph
... Let G = (V, E) be a graph. A set D of vertices in a graph G is called a dominating set of G if every vertex in V – D is adjacent to some vertex in ...of ... See full document
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THE DOM-CHROMATIC NUMBER OF A GRAPH
... A set D of vertices in a graph G is a dominating set if every vertex in V − D is adjacent to some vertex in ...( G ) is the minimum cardinality of a ... See full document
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Line Set Dominating Set with Reference to Degree
... The minimum cardinality of a slsd-set is called the strong line set dominating number of G and is denote by ϑ sl ' ( G ) ...Line set Dominating set ... See full document
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A New Algorithm for Finding a Minimum Dominating Set of Graphs
... finite set of vertices together with an edge set such that each edge is an unordered pair of ...subset D of is said to be dominating set of a graph if every vertex which is not in ... See full document
5
Some results on subdivision graphs
... graph G=(V,E) we mean a finite undirected graph without loops or multiple ...subset S of V is called a dominating set of G if every vertex not in S is adjacent to some ... See full document
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A Note on Edge Domsaturation Number of a Graph
... Let G = (V, E) be a graph. A subset D of E is said to be an edge dominating set if every edge in E-D is adjacent to at least one edge in ...edge dominating ... See full document
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(G,D)-Bondage and (G,D)-Nonbondage Number of a Graph
... consider G as a finite undirected graph with no loops and multiple ...Let G = (V, E) be any graph. A dominating set of a graph G is a set D of vertices of G ... See full document
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The Disjoint Total Domination Number of a Graph
... graph G is the minimum cardinality of the union of two disjoint total dominating sets in ...the minimum cardinality of the disjoint union of a dominating set and a ... See full document
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