Computational results on inertia indices, signature and nullity of C4C8 (R)nanotube

Sakander Hayat, Asad Khan, Faisal Yousafzai, Muhammad Imran

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


A molecular/chemical graph is hydrogen depleted chemical structure in which vertices denote atoms and edges denote the bonds. Topological descriptors are the numerical indices based on the topology of the atoms and their bonds (chemical conformation, quaternary structure). They correlate various physico-chemical properties like boiling point, enthalpy of formation, enthalpy of vaporization, Kovat’s constant etc., of various chemical compounds. Carbon nanotubes, a type of fullerene, have potential in fields such as nanotechnology, electronics, optics, materials science and architecture. The numerical parameters like inertia indices, signature and nullity attract much attention due to their diverse application in chemistry e.g., nullity of a molecular graph is related to the stability of saturated hydrocarbons.In this paper, inertia indices, signature and nullity of TUC4 C8(R) [2m-1,2n-1] nanotube are strong-minded. We conclude that the positive and negative inertia indices are equal for this nanotube and signature and nullity for this nanotube remain zero.

Original languageEnglish
Pages (from-to)478-481
Number of pages4
JournalOptoelectronics and Advanced Materials, Rapid Communications
Issue number3-4
Publication statusPublished - 2015
Externally publishedYes


  • Inertia indices
  • Nanotubes
  • Nullity
  • Signature

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Electrical and Electronic Engineering


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