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On 2-dominating kernels in graphs
In this paper we give a characterization of special classes of graphs and their products with a 2-dominating kernel. We rst consider paths and cycles and we establish necessary and sucient conditions for the existence of 2-dominating kernels in these graphs.
File link: http://ajc.maths.uq.edu.au/pdf/53/ajc_v53_p273.pdf
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Go To Link - On 2-dominating kernels in graphs
Domination integrity of total graphs
Here we determine the domination integrity of total graphs of path Pn, cycle Cn and star K1,n. Denition 1.2 A subset S of V (G) is called dominating set if for every v ∈ V − S, there exist a u ∈ S such that v is adjacent to u. Denition 1.3 The minimum cardinality of a minimal dominating set in G is...
File link: http://jaem.isikun.edu.tr/web/images/articles/vol.4.no.1/20.pdf
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Color class domination number of middle graph and
We give the color class domination number of the center graph and middle graph of K1,n , Cn and Pn. 1 INTRODUCTION. By a graph we mean a finite, undirected graph without loops or multiple edges. Terms not defined here are used in the sense of Harary [2].
File link: https://camo.ici.ro/journal/vol12/v12b8.pdf
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The Eigen-3-Cover Ratio of Graphs: Asymptotes, Domination and
All graphs in this paper are simple and loopless and on n vertices and m edges. We shall use the graph-theoretical notation of Harris, Hirst and ratio allows for the investigation of the domination effect of the energy of the 3-cover graph on the original energy of G, where a large number of vertices...
File link: http://vixra.org/pdf/1504.0232v1.pdf
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Go To Link - The Eigen-3-Cover Ratio of Graphs: Asymptotes, Domination and
Independent Domination in Graphs: A Survey
3.2 Domination-Perfect Graphs. Towards a theory of domination in graphs. Networks, 7:247-261, 1977. [24] E.J. Cockayne, S.T. Hedetniemi, and Miller D.J. Properties of hereditary hypergraphs and middle graphs.
File link: https://people.cs.clemson.edu/~goddard/papers/idomSurvey.pdf
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Go To Link - Independent Domination in Graphs: A Survey
Eccentric domination in splitting graph of some
When G = Sp(Fn), G is a graph with radius 2 and diameter 2. D = {v, Eccentric domination in splitting graph of some graphs. degG(u) −1/2}, where the minimum is taken over all central vertices. Theorem: 2.11 Let G be a self-centered graph with radius two and for...
File link: http://www.ripublication.com/atam16/atamv11n2_09.pdf
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Fractional Graph Theory
In a bipartite graph, Theorem 2.1.1 provides us a transversal K ⊆ V (G) whose cardinality is the same as that of a maximum matching. The middle levels problem is so-named because it deals with the central levels of the Boolean algebra 2[2k+1].
File link: https://www.ams.jhu.edu/ers/wp-content/uploads/sites/2/2015/12/fgt.pdf
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Go To Link - Fractional Graph Theory
Edge Connected Domination Polynomial of a Graph
The edge connected domination number of Pn is m − 2 and there is only one edge connected domination sets of size m For any cycle graph Cn with n vertices and m edges, then. Let Yt be a graph obtained from Y1 = K1,3 by identifying each end vertex of Yt−1 with the central vertex of K1,2...
File link: http://pjm.ppu.edu/sites/...JM_April2018_458to467.pdf
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Go To Link - Edge Connected Domination Polynomial of a Graph
Exponential and
In this unit we look at the graphs of exponential and logarithm functions, and see how they are related. In order to master the techniques explained here it is vital that you undertake plenty of practice exercises so that they become second nature.
File link: http://www.mathcentre.ac....c-ty-explogfns-2009-1.pdf
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Go To Link - Exponential and
The figure above shows the graph of
the graph of f ′ on the intervals [−2, 1] and [1, 4] are 9 and. 12, respectively. (a) Find all x-coordinates at which f has a relative maximum. Give a reason for your answer. (b) On what open intervals contained in −3 < x < 4 is the graph of f both concave down and decreasing?
File link: http://secure-media.colle...l/ap15_calculus_ab_q5.pdf
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Go To Link - The figure above shows the graph of