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The eccentric connectivity polynomial of two classes of nanotubes

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  • Gao, Wei
  • Wang, Weifan

Abstract

In theoretical chemistry, the eccentric connectivity index ξ(G) of a molecular graph G was introduced as ξ(G)=∑v∈V(G)d(v)ɛ(v) where d(v) expresses the degree of vertex v and ɛ(v) is the largest distance between v and any other vertex of G. The corresponding eccentric connectivity polynomial is denoted by ξ(G,x)=∑v∈V(G)d(v)xɛ(v). In this paper, we present the exact expressions of eccentric connectivity polynomial for V-phenylenic nanotubes and Zig-Zag polyhex nanotubes.

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  • Gao, Wei & Wang, Weifan, 2016. "The eccentric connectivity polynomial of two classes of nanotubes," Chaos, Solitons & Fractals, Elsevier, vol. 89(C), pages 290-294.
    • Handle: RePEc:eee:chsofr:v:89:y:2016:i:c:p:290-294
    DOI: 10.1016/j.chaos.2015.11.035
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    References listed on IDEAS

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    1. Yun Gao & Li Liang & Wei Gao, 2014. "Randic Index and Edge Eccentric Connectivity Index of Certain Special Molecular Graphs," International Journal of Chemistry and Materials Research, Conscientia Beam, vol. 2(8), pages 81-87.
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