On spectrum related topological descriptors of carbon nanocones

S. Hayat; A. Khan; F. Yousafzai; M. Imran; M. U. Rehman

On spectrum related topological descriptors of carbon nanocones

S. Hayat, A. Khan, F. Yousafzai, M. Imran, M. U. Rehman

Research output: Contribution to journal › Article › peer-review

Abstract

The study of spectrum (i.e. multiset of eigenvalues) of graphs especially molecular graphs has found a considerable use in theoretical chemistry and computational nanoscience. There are various kinds of spectrum related topological indices such as, energy, Estrada index, Laplacian Estrada index, positive and negative inertia indices, nullity, signature etc., which play a key role in QSAR/QSPR studies. Energy and Estrada indices relate energies associated to the π -electron orbitals with the conjugated hydrocarbons and the degree of folding of proteins and some other long-chain biomolecules respectively. Whereas, inertia indices and nullity have found a significant use in the study of stability of chemical compounds. In this paper, inertia indices, nullity and signature of CNC₃[n] and CNC₅[n] nanocones are studied. Furthermore, we formulate a conjecture on these numerical parameters for general CNC_2k+1[n] nanocones

Original language	English
Pages (from-to)	798-802
Number of pages	5
Journal	Optoelectronics and Advanced Materials, Rapid Communications
Volume	9
Issue number	5-6
Publication status	Published - 2015
Externally published	Yes

Keywords

Carbon nanocones
Inertia indices
Nullity
Signature

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Electrical and Electronic Engineering

Cite this

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abstract = "The study of spectrum (i.e. multiset of eigenvalues) of graphs especially molecular graphs has found a considerable use in theoretical chemistry and computational nanoscience. There are various kinds of spectrum related topological indices such as, energy, Estrada index, Laplacian Estrada index, positive and negative inertia indices, nullity, signature etc., which play a key role in QSAR/QSPR studies. Energy and Estrada indices relate energies associated to the π -electron orbitals with the conjugated hydrocarbons and the degree of folding of proteins and some other long-chain biomolecules respectively. Whereas, inertia indices and nullity have found a significant use in the study of stability of chemical compounds. In this paper, inertia indices, nullity and signature of CNC3[n] and CNC5[n] nanocones are studied. Furthermore, we formulate a conjecture on these numerical parameters for general CNC2k+1[n] nanocones",

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AU - Hayat, S.

AU - Khan, A.

AU - Yousafzai, F.

AU - Imran, M.

AU - Rehman, M. U.

PY - 2015

Y1 - 2015

N2 - The study of spectrum (i.e. multiset of eigenvalues) of graphs especially molecular graphs has found a considerable use in theoretical chemistry and computational nanoscience. There are various kinds of spectrum related topological indices such as, energy, Estrada index, Laplacian Estrada index, positive and negative inertia indices, nullity, signature etc., which play a key role in QSAR/QSPR studies. Energy and Estrada indices relate energies associated to the π -electron orbitals with the conjugated hydrocarbons and the degree of folding of proteins and some other long-chain biomolecules respectively. Whereas, inertia indices and nullity have found a significant use in the study of stability of chemical compounds. In this paper, inertia indices, nullity and signature of CNC3[n] and CNC5[n] nanocones are studied. Furthermore, we formulate a conjecture on these numerical parameters for general CNC2k+1[n] nanocones

AB - The study of spectrum (i.e. multiset of eigenvalues) of graphs especially molecular graphs has found a considerable use in theoretical chemistry and computational nanoscience. There are various kinds of spectrum related topological indices such as, energy, Estrada index, Laplacian Estrada index, positive and negative inertia indices, nullity, signature etc., which play a key role in QSAR/QSPR studies. Energy and Estrada indices relate energies associated to the π -electron orbitals with the conjugated hydrocarbons and the degree of folding of proteins and some other long-chain biomolecules respectively. Whereas, inertia indices and nullity have found a significant use in the study of stability of chemical compounds. In this paper, inertia indices, nullity and signature of CNC3[n] and CNC5[n] nanocones are studied. Furthermore, we formulate a conjecture on these numerical parameters for general CNC2k+1[n] nanocones

KW - Carbon nanocones

KW - Inertia indices

KW - Nullity

KW - Signature

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On spectrum related topological descriptors of carbon nanocones

Abstract

Keywords

ASJC Scopus subject areas

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