2018
DOI: 10.22457/apam.v18n2a8
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Product Connectivity Leap Index and ABC Leap Index of Helm Graphs

Abstract: Recently, some leap Zagreb indices of a graph based on the second degrees of vertices were introduced. In this paper, we propose the product connectivity leap index and ABC leap index of a graph. We compute the sum connectivity leap index, product connectivity leap index, ABC leap index and geometric-arithmetic leap index of helm graphs.

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Cited by 15 publications
(9 citation statements)
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“…If i ¼ 6, then f ðx 6 , y 6 Þ ¼ ABC 6 ðGÞ, where x 6 ¼ d 2 ðuÞ d 2 ðuÞ is the 2-distance of the vertex u in G is the number of 2-neighbors (i.e., N 2 ðuÞ ¼ fv 2 V : dðu, vÞ ¼ 2g) of u in G and y 6 ¼ d 2 ðvÞ: Kulli 28 introduced the sixth atom bond connectivity index (or, Leaf atom bond connectivity index).…”
Section: Different Versions Of the Atom-bond Connectivity Indicesmentioning
confidence: 99%
“…If i ¼ 6, then f ðx 6 , y 6 Þ ¼ ABC 6 ðGÞ, where x 6 ¼ d 2 ðuÞ d 2 ðuÞ is the 2-distance of the vertex u in G is the number of 2-neighbors (i.e., N 2 ðuÞ ¼ fv 2 V : dðu, vÞ ¼ 2g) of u in G and y 6 ¼ d 2 ðvÞ: Kulli 28 introduced the sixth atom bond connectivity index (or, Leaf atom bond connectivity index).…”
Section: Different Versions Of the Atom-bond Connectivity Indicesmentioning
confidence: 99%
“…Recently, some connectivity indices were studied for example, in [8,9,10,11,12]. In this paper, the product connectivity E-Banhatti index, the reciprocal product connectivity E-Banhatti index and their corresponding polynomials of wheel graphs and certain nanotubes are computed.…”
Section: Introductionmentioning
confidence: 99%
“…In recent years, some topological indices were studied, for example, in [8,9,10,11,12,13,14,15,16,17,18,19 ]. In this paper, some multiplicative connectivity KV indices for POPAM dendrimers and tetrathiafulvalene dendrimers are computed.…”
Section: Introductionmentioning
confidence: 99%