A COMPUTATIONAL ANALYSIS OF THE FACE INDEX OF CERTAIN GRAPH NETWORKS USING MULTIVARIATE REGRESSION

H. T. Sharathkumar; Pooja Narasimha; Narasimha Swamy Narahari; Hadonahalli Mudalagiraiah Nagesh

A COMPUTATIONAL ANALYSIS OF THE FACE INDEX OF CERTAIN GRAPH NETWORKS USING MULTIVARIATE REGRESSION

Abstract

Researchers have recently introduced a topological descriptor, called the face index, which quantifies the number of faces in a molecular network/compound to enhance efficiency by reducing computational time while improving the accuracy of chemical property calculations for chemical structures. It is observed that the face index provides valuable insights into the structural variations of different materials, offering a more generalized perspective compared to traditional vertex degree-based topological descriptors. This makes it a valuable tool for advancing research in chemistry and material science. Motivated by this, in the present study, we compute the face index for the chemical graphs of three significant networks namely the pentahexoctite, tetracyanobenzene and pyracyclene networks. Additionally, we perform a covariance analysis of this index with various degree-based topological indices for these networks. To further assess its predictability, we employ multivariate regression analysis, examining the relationship between the face index and these indices, which reveals a strong correlation between them.

Keywords

References

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Details

Primary Language

English

Subjects

Combinatorics and Discrete Mathematics (Excl. Physical Combinatorics), Biological Mathematics

Journal Section

Research Article

Authors

H. T. Sharathkumar This is me
0009-0004-2039-2862
India

Pooja Narasimha This is me
0009-0001-8902-6420
India

Narasimha Swamy Narahari This is me
0000-0002-9243-840X
India

Hadonahalli Mudalagiraiah Nagesh ^*
0000-0001-9864-8937
India

Publication Date

August 7, 2026

Submission Date

May 7, 2025

Acceptance Date

July 20, 2025

Published in Issue

Year 2026 Volume: 16 Number: 8

IZ

https://izlik.org/JA35CW44GD

Cite

RIS / Bibtex

APA

Sharathkumar, H. T., Narasimha, P., Narahari, N. S., & Nagesh, H. M. (2026). A COMPUTATIONAL ANALYSIS OF THE FACE INDEX OF CERTAIN GRAPH NETWORKS USING MULTIVARIATE REGRESSION. TWMS Journal of Applied and Engineering Mathematics, 16(8), 989-1005. https://izlik.org/JA35CW44GD

AMA

1.Sharathkumar HT, Narasimha P, Narahari NS, Nagesh HM. A COMPUTATIONAL ANALYSIS OF THE FACE INDEX OF CERTAIN GRAPH NETWORKS USING MULTIVARIATE REGRESSION. JAEM. 2026;16(8):989-1005. https://izlik.org/JA35CW44GD

Chicago

Sharathkumar, H. T., Pooja Narasimha, Narasimha Swamy Narahari, and Hadonahalli Mudalagiraiah Nagesh. 2026. “A COMPUTATIONAL ANALYSIS OF THE FACE INDEX OF CERTAIN GRAPH NETWORKS USING MULTIVARIATE REGRESSION”. TWMS Journal of Applied and Engineering Mathematics 16 (8): 989-1005. https://izlik.org/JA35CW44GD.

EndNote

Sharathkumar HT, Narasimha P, Narahari NS, Nagesh HM (August 1, 2026) A COMPUTATIONAL ANALYSIS OF THE FACE INDEX OF CERTAIN GRAPH NETWORKS USING MULTIVARIATE REGRESSION. TWMS Journal of Applied and Engineering Mathematics 16 8 989–1005.

IEEE

[1]H. T. Sharathkumar, P. Narasimha, N. S. Narahari, and H. M. Nagesh, “A COMPUTATIONAL ANALYSIS OF THE FACE INDEX OF CERTAIN GRAPH NETWORKS USING MULTIVARIATE REGRESSION”, JAEM, vol. 16, no. 8, pp. 989–1005, Aug. 2026, [Online]. Available: https://izlik.org/JA35CW44GD

ISNAD

Sharathkumar, H. T. - Narasimha, Pooja - Narahari, Narasimha Swamy - Nagesh, Hadonahalli Mudalagiraiah. “A COMPUTATIONAL ANALYSIS OF THE FACE INDEX OF CERTAIN GRAPH NETWORKS USING MULTIVARIATE REGRESSION”. TWMS Journal of Applied and Engineering Mathematics 16/8 (August 1, 2026): 989-1005. https://izlik.org/JA35CW44GD.

JAMA

1.Sharathkumar HT, Narasimha P, Narahari NS, Nagesh HM. A COMPUTATIONAL ANALYSIS OF THE FACE INDEX OF CERTAIN GRAPH NETWORKS USING MULTIVARIATE REGRESSION. JAEM. 2026;16:989–1005.

MLA

Sharathkumar, H. T., et al. “A COMPUTATIONAL ANALYSIS OF THE FACE INDEX OF CERTAIN GRAPH NETWORKS USING MULTIVARIATE REGRESSION”. TWMS Journal of Applied and Engineering Mathematics, vol. 16, no. 8, Aug. 2026, pp. 989-1005, https://izlik.org/JA35CW44GD.

Vancouver

1.H. T. Sharathkumar, Pooja Narasimha, Narasimha Swamy Narahari, Hadonahalli Mudalagiraiah Nagesh. A COMPUTATIONAL ANALYSIS OF THE FACE INDEX OF CERTAIN GRAPH NETWORKS USING MULTIVARIATE REGRESSION. JAEM [Internet]. 2026 Aug. 1;16(8):989-1005. Available from: https://izlik.org/JA35CW44GD