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DOMINATION IN GRAPHS Nadia Nosrati Kenareh goldkrilloil.info, Sharif University, Domination is an area in graph theory with an extensive research activity. In , a book [HHS98] on domination has been published which lists papers in this area.

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If the algorithm Domination-Test returns TRUE then the graph G is a domination graph. and propose the “if part” as a conjecture: Conjecture 1. If G is a domination graph, then the algorithm Domination-Test returns TRUE. Equivalently, if G is a domination graph, then all the lists L Cited by: 2.

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Mixed Block Domination in Graphs Chapter 4 56 Introduction The study of mixed domination was initiated by goldkrilloil.infohkumar and goldkrilloil.info [34]. Another parameter cutfree domination number γ b (G) defined as minimum number of vertices in a dominating set such that 〈 〉is a block of G is introduced by Paulraja and Armugam [74]. The.


Domination in Graphs Jennifer M. Tarr ABSTRACT Vizing conjectured in that the domination number of the Cartesian product of two graphs is at least the product of their domination numbers; this remains one of the biggest open problems in the study of domination in graphs. Several partial results have been proven, but the conjecture has. Independent Domination in Line Graphs M. H. Muddebihal and D. Basavarajappa Abstract - For any graph G, the line graph L G H is the intersection graph. Thus the vertices of LG are the edges of G, with two vertices of adjacent whenever the corresponding edges of G are. A dominating set D.
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said distance closed domination in graphs are studied in [7]. 2 Main results In this paper, a perfect distance closed dominating set of a graph is defined and the bounds on perfect distance closed domination number of some special classes of graphs are studied. Also, the structural properties of graphs are studiedAuthor: V. Sangeetha.

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An independent dominating set in a graph is a set that is both dominating and in-dependent. Equivalently, an independent dominating set is a maximal independent set. Independent dominating sets have been studied extensively in the literature. In this paper, we survey selected results on independent domination in graphs. found in [1] associated with the domination number and domination of a signed graph. We denote the set of all dominating set by D. Clearly D D G: (2) In [1], a problem is given to determine the signed graphs such that D = D G. In view of Theorem and Lemma , all balanced signed graphs will satisfy this condition which is proved in [1].Cited by: 2.

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Applications and Variations of Domination in Graphs by Paul Andrew Dreyer, Jr. Dissertation Director: Fred S. Roberts In a graph G=(V;E), S V is a dominating set of Gif every vertex is either in Sor joined by an edge to some vertex in S. Many di erent types of domination have been researched extensively. Graphs, Matching Theory, Domination Theory, Labeling of Graphs and areas related to Algebraic Graph Theory. We found that the Theory of Domination in Graphs deserves further attention. Thus, we explode this area for our research work. The present dissertation is a study of some variants of domination in graphs from a particular point of view.

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DOMINATION IN GRAPHS Nadia Nosrati Kenareh goldkrilloil.info, Sharif University, Domination is an area in graph theory with an extensive research activity. In , a book [HHS98] on domination has been published which lists papers in this area. If the algorithm Domination-Test returns TRUE then the graph G is a domination graph. and propose the “if part” as a conjecture: Conjecture 1. If G is a domination graph, then the algorithm Domination-Test returns TRUE. Equivalently, if G is a domination graph, then all the lists L Cited by: 2.
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Mixed Block Domination in Graphs Chapter 4 56 Introduction The study of mixed domination was initiated by goldkrilloil.infohkumar and goldkrilloil.info [34]. Another parameter cutfree domination number γ b (G) defined as minimum number of vertices in a dominating set such that 〈 〉is a block of G is introduced by Paulraja and Armugam [74]. The. Domination in Graphs Jennifer M. Tarr ABSTRACT Vizing conjectured in that the domination number of the Cartesian product of two graphs is at least the product of their domination numbers; this remains one of the biggest open problems in the study of domination in graphs. Several partial results have been proven, but the conjecture has.

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