On Topological Properties of the Line Graphs of Subdivision Graphs of Certain Nanostructures – II

α
Sunilkumar M. Hosamani
Sunilkumar M. Hosamani

Send Message

To: Author

On Topological Properties of the Line Graphs of  Subdivision Graphs of Certain Nanostructures – II

Article Fingerprint

ReserarchID

YK012

On Topological Properties of the Line Graphs of  Subdivision Graphs of Certain Nanostructures – II Banner

AI TAKEAWAY

Connecting with the Eternal Ground
  • English
  • Afrikaans
  • Albanian
  • Amharic
  • Arabic
  • Armenian
  • Azerbaijani
  • Basque
  • Belarusian
  • Bengali
  • Bosnian
  • Bulgarian
  • Catalan
  • Cebuano
  • Chichewa
  • Chinese (Simplified)
  • Chinese (Traditional)
  • Corsican
  • Croatian
  • Czech
  • Danish
  • Dutch
  • Esperanto
  • Estonian
  • Filipino
  • Finnish
  • French
  • Frisian
  • Galician
  • Georgian
  • German
  • Greek
  • Gujarati
  • Haitian Creole
  • Hausa
  • Hawaiian
  • Hebrew
  • Hindi
  • Hmong
  • Hungarian
  • Icelandic
  • Igbo
  • Indonesian
  • Irish
  • Italian
  • Japanese
  • Javanese
  • Kannada
  • Kazakh
  • Khmer
  • Korean
  • Kurdish (Kurmanji)
  • Kyrgyz
  • Lao
  • Latin
  • Latvian
  • Lithuanian
  • Luxembourgish
  • Macedonian
  • Malagasy
  • Malay
  • Malayalam
  • Maltese
  • Maori
  • Marathi
  • Mongolian
  • Myanmar (Burmese)
  • Nepali
  • Norwegian
  • Pashto
  • Persian
  • Polish
  • Portuguese
  • Punjabi
  • Romanian
  • Russian
  • Samoan
  • Scots Gaelic
  • Serbian
  • Sesotho
  • Shona
  • Sindhi
  • Sinhala
  • Slovak
  • Slovenian
  • Somali
  • Spanish
  • Sundanese
  • Swahili
  • Swedish
  • Tajik
  • Tamil
  • Telugu
  • Thai
  • Turkish
  • Ukrainian
  • Urdu
  • Uzbek
  • Vietnamese
  • Welsh
  • Xhosa
  • Yiddish
  • Yoruba
  • Zulu

Abstract

In this note, we give expressions for the first(second) Zagreb coindex, second Zagreb index(coindex), third Zagreb index and first hyper-Zagreb index of the line graphs of subdivision graphs of 2D-lattice, nanotube and nanotorus of TUC 4 C 8 [p, q] and obtain upper bounds for Wiener index and degree-distance index of these graphs. This note continue the program of computing certain topological indices of the line graphs of subdivision graphs of 2D-lattice, nanotube and nanotorus of TUC 4 C 8 [p, q] [25] [M. F.

References

31 Cites in Article
  1. R Ashrafi,S Yousefi (2007). Computing Wiener index of a TUC 4 C 8 (S) nanotorus.
  2. A Ashrafi,T Došlić,A Hamzeh (2010). The Zagreb coindices of graph operations.
  3. A Ashrafi,T Došlić,A Hamzeh (2011). The Zagreb coindices of graph operations.
  4. G Caporossi,P Hansen,D Vukićević (2010). Comparing Zagreb indices of cyclic graphs.
  5. K Das,I Gutman (2004). Some properties of the second Zagreb index.
  6. T Došlić (2008). Vertex-weighted Wiener polynomials for composite graphs.
  7. M Diudea,M Stefu,B Prv,P John (2004). Wiener Index of Armchair Polyhex Nanotubes.
  8. M Diudea,B Parv,E Kirby (2003). Azulenic tori.
  9. M Diudea (2002). Graphenes from 4-valent tori.
  10. Mircea Diudea (2002). Omega polynomial in twisted/chiral polyhex tori.
  11. M Diudea,E Kirby (2001). The Energetic Stability of Tori and Single Wall Tubes.
  12. Andrey Dobrynin,Amide Kochetova (1994). Degree Distance of a Graph: A Degree Analog of the Wiener Index.
  13. G Fath-Tabar (2011). Old and new Zagreb indices of graphs.
  14. Muhammad Nadeem,Sohail Zafar,Zohaib Zahid (2015). On certain topological indices of the line graph of subdivision graphs.
  15. Ivan Gutman (1994). Selected properties of the Schultz molecular topological index.
  16. I Gutman,B Furtula,Z Vukićević,G Popivoda (2015). On Zagreb Indices and Coindices.
  17. I Gutman,N Trinajstić (1972). Graph theory and molecular orbitals. Total 𝜋𝜋-electron energy of alternant hydrocarbons.
  18. I Gutman,K Das (2004). The first Zagreb index 30 years after.
  19. F Harary (1969). Graph Theory.
  20. S Hosamani,I Gutman (2014). Zagreb indices of transformation graphs and total transformation graphs.
  21. S Hosamani,B Basavanagoud (2015). New upper bounds for the first Zagreb index.
  22. Hongbo Hua,Ivan Gutman,Hongzhuan Wang,Kinkar Das (2012). Relationships between some distance-based topological indices.
  23. P John,M Diudea (2004). Wiener Index of Zig-zag Polyhex Nanotubes.
  24. B Liu,I Gutman (2006). Upper bounds for Zagreb indices of connected graphs.
  25. Muhammad Nadeem,Sohail Zafar,Zohaib Zahid (2016). On topological properties of the line graphs of subdivision graphs of certain nanostructures.
  26. P Ranjini,V Lokesha,I Cangl (2011). On the Zagreb indices of the line graphs of the subdivision graphs.
  27. P Ranjini,V Lokesha,I Cangül (2011). On the Zagreb indices of the line graphs of the subdivision graphs.
  28. G Shirdel,H Rezapour,R Nasiri (2013). Lower and Upper Bounds for Hyper-Zagreb Index of Graphs.
  29. R Todeschini,V Consonni (2000). Handbook of Molecular Descriptors.
  30. M Velaki,M Nikmehr,H Tavallaee (1947). the Line Graphs of Subdivision Graphs of Certain Nanostructures -II 31. H. Wiener, Structural determination of paraffin boiling points.
  31. Z Yan,H Liu,H Liu (2007). Sharp bounds for the second Zagreb index of unicyclic graphs.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Sunilkumar M. Hosamani. 2017. \u201cOn Topological Properties of the Line Graphs of Subdivision Graphs of Certain Nanostructures – II\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 17 (GJSFR Volume 17 Issue F4): .

Download Citation

Issue Cover
GJSFR Volume 17 Issue F4
Pg. 39- 47
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords
Classification
GJSFR-F Classification: AMS: 05C90; 05C35; 05C12.
Version of record

v1.2

Issue date

July 9, 2017

Language
en
Experiance in AR

Explore published articles in an immersive Augmented Reality environment. Our platform converts research papers into interactive 3D books, allowing readers to view and interact with content using AR and VR compatible devices.

Read in 3D

Your published article is automatically converted into a realistic 3D book. Flip through pages and read research papers in a more engaging and interactive format.

Article Matrices
Total Views: 3482
Total Downloads: 1617
2026 Trends
Related Research

Published Article

In this note, we give expressions for the first(second) Zagreb coindex, second Zagreb index(coindex), third Zagreb index and first hyper-Zagreb index of the line graphs of subdivision graphs of 2D-lattice, nanotube and nanotorus of TUC 4 C 8 [p, q] and obtain upper bounds for Wiener index and degree-distance index of these graphs. This note continue the program of computing certain topological indices of the line graphs of subdivision graphs of 2D-lattice, nanotube and nanotorus of TUC 4 C 8 [p, q] [25] [M. F.

Our website is actively being updated, and changes may occur frequently. Please clear your browser cache if needed. For feedback or error reporting, please email [email protected]

Request Access

Please fill out the form below to request access to this research paper. Your request will be reviewed by the editorial or author team.
X

Quote and Order Details

Contact Person

Invoice Address

Notes or Comments

This is the heading

Lorem ipsum dolor sit amet, consectetur adipiscing elit. Ut elit tellus, luctus nec ullamcorper mattis, pulvinar dapibus leo.

High-quality academic research articles on global topics and journals.

On Topological Properties of the Line Graphs of Subdivision Graphs of Certain Nanostructures – II

Sunilkumar M. Hosamani
Sunilkumar M. Hosamani

Research Journals