Advanced search
Publication Cover
Polycyclic Aromatic Compounds Volume 40, 2020 - Issue 5
Submit an article Journal homepage
134
Views
8
CrossRef citations to date
0
Altmetric
Articles

Topological Properties of Carbon Nanocones

Micheal ArockiarajDepartment of Mathematics, Loyola College, Chennai, India;
,
Joseph ClementDepartment of Mathematics, Loyola College, Chennai, India; Correspondence[email protected]
ORCID Iconhttp://orcid.org/0000-0001-7797-6456
ORCID Icon &
Krishnan BalasubramanianSchool of Molecular Sciences, Arizona State University, Tempe, Arizona, USA
Pages 1332-1346 | Received 18 Sep 2018, Accepted 28 Oct 2018, Published online: 26 Dec 2018
 
Sample our Physical Sciences journals, sign in here to start your FREE access for 14 days

Abstract

Topological properties of fullerenes, nanotubes, nanocones, and nanostars have received considerable attention due to their importance in nanotechnology and as emerging materials of practical applications. In this paper, we focus on topological properties of carbon nanocones (CNCs). Several topological indices are computed utilizing the cut method on strength-weighted graphs, and by the use of this technique, we obtain analytical expressions for a number of distance-based topological indices of CNCs. These computed results are not only mathematical novel but they also facilitate topological characterization of these structures that are finding new applications in the emerging field of nanotechnology.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related Research Data

Cut Method: Update on Recent Developments and Equivalence of Independent Approaches
Source: Bentham Science Publishers Ltd.
A Novel PI Index and Its Applications to QSPR/QSAR Studies
Source: American Chemical Society (ACS)
The Wiener number of the hexagonal net
Source: Published by Elsevier B.V.
Computer Generation of Matching Polynimials of Chemical Graphs and Lattices
Source: Wiley
Computer generation of spectra of graphs: Applications to C60 clusters and other systems
Source: Wiley
Topological Invariants of Nanocones and Fullerenes
Source: Bentham Science Publishers Ltd.
Graphitic cones
Source: Elsevier BV
Naturally occurring graphite cones
Source: Elsevier BV
An Algorithm for the Calculation of the Szeged Index of Benzenoid Hydrocarbons
Source: American Chemical Society (ACS)
Exhaustive Generation and Analytical Expressions of Matching Polynomials of Fullerenes C20-C50
Source: American Chemical Society (ACS)
Structural Determination of Paraffin Boiling Points
Source: American Chemical Society (ACS)
Study of neon adsorption on carbon nanocones using molecular dynamics simulation
Source: Elsevier BV
Curved graphite and its mathematical transformations
Source: Springer Science and Business Media LLC
On the canonical metric representation, average distance, and partial Hamming graphs
Source: Elsevier Ltd.
Laplacian polynomials of fullerenes (C20C40)
Source: Elsevier BV
Topological Index of Some Carbon Nanotubes and the Symmetry Group for Nanotubes and Unit Cells in Solids
Source: Springer Science and Business Media LLC
Extending the Characteristic Polynomial for Characterization of C20 Fullerene Congeners
Source: MDPI AG
Applications of Combinatorics and Graph Theory to Spectroscopy and Quantum Chemistry
Source: American Chemical Society (ACS)
NOVEL PI INDICES OF HEXAGONAL CHAINS
Source: Springer Science and Business Media LLC
Computing distance-based topological descriptors of complex chemical networks: New theoretical techniques
Source: Elsevier BV
Graphitic cones and the nucleation of curved carbon surfaces
Source: Springer Science and Business Media LLC
LAPLACIANS OF FULLERENES (C42-C90)
Source: American Chemical Society (ACS)
Computing Wiener Polynomial, Wiener Index and Hyper Wiener Index of C80 Fullerene by GAP Program
Source: Informa UK Limited
Electronic structure of carbon nanocones.
Source: The American Physical Society
On Zagreb Indices, Zagreb Polynomials of Nanocone and Nanotubes
Source: American Scientific Publishers
Tiling Fullerene Surface with Heptagon and Octagon
Source: Informa UK Limited
Statistical properties of carbon nanostructures
Source: Springer Science and Business Media LLC
Novel molecular descriptor for structure—property studies
Source: Elsevier BV
Observation of fullerene cones
Source: Elsevier BV
The Hosoya Polynomial of One-Pentagonal Carbon Nanocone
Source: Informa UK Limited
Variants of the Szeged index in certain chemical nanosheets
Source: Canadian Science Publishing
Another aspect of graph invariants depending on the path metric and an application in nanoscience
Source: Elsevier BV
Matching polynomials of fullerene clusters
Source: Elsevier BV
The PI and Edge Szeged Indices of One-Heptagonal Carbon Nanocones
Source: Bentham Science Publishers Ltd.
Characteristic polynomials of organic polymers and periodic structures
Source: Wiley
Topological organic chemistry. 1. Graph theory and topological indices of alkanes
Source: American Chemical Society (ACS)
Isometric embedding in products of complete graphs
Source: Published by Elsevier B.V.
The Edge Version of Geometric Arithmetic Index of Polyomino Chains of 8-Cycles and Arbitrary Carbon Nanocones
Source: American Scientific Publishers
A Numerical Method for Computing the Wiener Index of One-Heptagonal Carbon Nanocone
Source: American Scientific Publishers
On the Anti-Kekulé Number of Nanotubes and Nanocones
Source: American Scientific Publishers
Topological resonance energy predictions of the stability of fullerene clusters
Source: Elsevier BV
A Numerical Method for MEC Polynomial and MEC Index of One-Pentagonal Carbon Nanocones
Source: Informa UK Limited
Distance-preserving subgraphs of hypercubes
Source: Published by Elsevier Inc.
Topological Indices and Their Applications to Circumcised Donut Benzenoid Systems, Kekulenes and Drugs
Source: Informa UK Limited
Analytical expressions for topological properties of polycyclic benzenoid networks
Source: Wiley
Modified Eccentric Connectivity Index and Polynomial of Tetragonal Carbon Nanocones CNC 4 [n]
Source: Isaac Scientific Publishing Co., Ltd.

Linking provided by 

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.