2016
DOI: 10.1007/s11786-016-0259-z
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On Eccentric Connectivity Index of Eccentric Graph of Regular Dendrimer

Abstract: Abstract. The eccentric connectivity index ξ c (G) of a connected graphis the degree of vertex v and e(v) is the eccentricity of v. The eccentric graph Ge of a graph G has the same set of vertices as G, with two vertices u, v adjacent in Ge if and only if either u is an eccentric vertex of v or v is an eccentric vertex of u. In this paper, we obtain a formula for the eccentric connectivity index of the eccentric graph of a regular dendrimer. We also derive a formula for the eccentric connectivity index for the… Show more

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Cited by 3 publications
(4 citation statements)
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“…3 ⌋ + 4, otherwise Definition 3.15. [16] Let k and n be positive integers. Dendrimer graphs D k,n are constructed by adding k degree-one vertices to the vertices with degree one in the graph D k,0 , initially defined as D 0 , for a total of n repetitions.…”
Section: Figure 7 E 5 3 Graphmentioning
confidence: 99%
See 1 more Smart Citation
“…3 ⌋ + 4, otherwise Definition 3.15. [16] Let k and n be positive integers. Dendrimer graphs D k,n are constructed by adding k degree-one vertices to the vertices with degree one in the graph D k,0 , initially defined as D 0 , for a total of n repetitions.…”
Section: Figure 7 E 5 3 Graphmentioning
confidence: 99%
“…Definition 3.18. [16] A regular dendrimer graph is a tree consisting of a central vertex v and each non-pendant vertex has a degree d two or more. In regular dendrimers, the distance from the central vertex to each pendant vertex is called the radius and is denoted by k. Regular dendrimer graphs are denoted by T k,d .…”
Section: Figure 7 E 5 3 Graphmentioning
confidence: 99%
“…Aesthetics-oriented translation principles), when the specific language form and content of the original text are equally important, it is also mentioned that semantic translation is needed when it has nothing to do with the type of the original text. When translating such texts, the primary function of news text is to convey information that cannot be ignored [9].…”
Section: English Semantic Translation Theorymentioning
confidence: 99%
“…[6,11,13,14,16]. Finally, different derived graphs have been proposed based on the eccentricity such as radial graphs [7] or the recently introduced graphs with a bit unfortunate name "eccentric graphs" (which are not eccentric graphs in the above sense) [12].…”
Section: Introductionmentioning
confidence: 99%