The edge eccentric connectivity index of armchair polyhex nanotubes

ASLAN E.

Journal of Computational and Theoretical Nanoscience, vol.12, no.11, pp.4455-4458, 2015 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 12 Issue: 11
  • Publication Date: 2015
  • Doi Number: 10.1166/jctn.2015.4384
  • Journal Name: Journal of Computational and Theoretical Nanoscience
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.4455-4458
  • Keywords: Armchair nanotube, Eccentric connectivity index, Edge eccentric connectivity index, Graph theory
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

Let f = uv be an edge in E(G). Then the degree of the edge f is defined to be deg(u)+deg(v)-2. For two edges f1 = u1v1, f2 = u2v2 in E(G), the distance between f1 and f2, denoted by ed (f1, f2), is defined to be ed (f1, f2) = min{d(u1, v1),d(u1, v2), d(u2, v1), d(u2, v2). The edge eccentricity of an edge f, denoted by ec (f), is defined as ec(f) = max{d(f, e) | e ϵ E(G)}. The edge eccentric connectivity index of G, denoted by ζc e(G) is defined as ζce(G) = Σ fϵE(G) deg(f)ec(f). In this paper exact formulas for the edge eccentric connectivity index of an armchair polyhex nanotube is given.