Domination in graph theory

Personalised recommendations. Graphs have been used extensively to aid in the design and analysis of algorithms and hence are an integral part of the field of bioinformatics [ 11 - 13 ]. A nontrivial limitation is the generally held opinion that vertex centrality indicates the relative importance of vertices. For any real number , denotes the smallest integer not less than and denotes the greatest integer not greater than. Conclusion And Further Research Challenges In this paper we have studied several variations in the concept of domination with respect to vertices of a graph. These parameters are calculated for all small order trees and a statistical analysis of the resulting data is conducted to determine if the values of these parameters can be utilized to identify which trees of orders seven and eight are RNA-like in structure. So we have to take v 2 and any one of v 3 , v n-1 in the set.
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Taiwanese Journal of Mathematics

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Distance 2-Domination in Prisms of Graphs

By representing biomolecules as graphs, we can then thoroughly investigate the graph using the appropriate graphical invariants; thereby quantifying the structure. For a nice survey on some of the applications see graphs and proteins see[ 17 ]. Observe that u 13 and u 14 are isolated vertices in the subgraph induced by D 1. Those that are RNA-like in structure that have not been verified as existing are considered candidates that may later be identified or artificially produced. Backbone cluster identification in proteins by a graph theoretical method. The authors declare that they have no conflict of interests regarding the publication of this paper. But 1,2 - domination number of P n-1 is n- 3.
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Domination Number -- from Wolfram MathWorld

Dominating sets and neighbor elimination-based broadcasting algorithms in wireless networks. Hedetniemi, Towards a theory of domination in graphs, Networks, Fall , — The total number of possible RNA tree graphs for a given number of vertices is given by the tree enumeration theorems of Harary and Prins[ 8 ]. Hedetniemi, Total domination in graphs. The domination number of a graph is a graphical invariant that is sensitive to even a slight change in the structure of a tree. View at Google Scholar B. The line graph of , written , is the simple graph whose vertices are the edges of , with when and have a common end vertex in.
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We furnish those sets here for verification along with their dominating sets. The agents in Blau space, of a social network correspond to points in a metric space, and the relative position of these nodes supports the homophily principle of [ 25 ]. The findings show that large organizations uses requirement methodologies but small organizations do not consider requirement methodologies important. It has immense potential for applications to engineering, physical, social and biological sciences [ 1 - 4 ]. Services on Demand Journal.
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