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WIENER POLYNOMIAL OF SPLITTING GRAPH OF COMB GRAPH

AUTHORS:
Latha Devi Puli
Mentor
Affiliation
Government First Grade College, Yelahanka Bangalore, Karnataka, India
DOI: 10.55041/ijsmt.v2i4.629
CC BY 4.0 License:
This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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Abstract

The sum of distances between all unordered pairs of vertices in a connected graph is called the Wiener index. In this work, we found the Wiener polynomial and index of splitting graph of comb graph .

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PUBLICATION DETAILS
Review Type:
Double-Blind Peer Review
License:
CC BY-NC 4.0
Volume/Issue:
Volume 02, Issue 04
Review Rounds:
2
Article Type:
Research Article
Publication Date:
May 01 2026
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Puli, L. D. (2026). Wiener Polynomial of Splitting Graph of Comb Graph. International Journal of Science, Strategic Management and Technology, 02(04). https://doi.org/10.55041/ijsmt.v2i4.629

Puli, Latha. "Wiener Polynomial of Splitting Graph of Comb Graph." International Journal of Science, Strategic Management and Technology, vol. 02, no. 04, 2026, pp. . doi:https://doi.org/10.55041/ijsmt.v2i4.629.

Puli, Latha. "Wiener Polynomial of Splitting Graph of Comb Graph." International Journal of Science, Strategic Management and Technology 02, no. 04 (2026). https://doi.org/https://doi.org/10.55041/ijsmt.v2i4.629.

References
[1].A.A Dobrynin, R.Entringer, I. Gutman; Wiener index of trees .Acta Appl. 66(2001)211-249.

[2].  An.X and Wu.B. The Wiener Index of kth power of a graph, Appl.math.Lett.21, 436-440,2008.

[3].  Balakrishnan, Sridharan. R. N and Vishwanathan.kIyer,Wiener Index of graphs with more than one cut vertex, A ppl.Math. Lett 21,922-927,2008.

[4].Bondy, J.A, and Murthy. U.S.R, Graph Theory with applications .(Macnydmillan,London,1976)

[5].  Entringer . R.C, Jackson, D.E and Snyder,D.A, Distance in graphs, zech.Math.J.26,283-296,1976.

[6]. I. GutCman, I.G. Zenkerich,Wiener index and Vibrational energy, Z. Naturforch.57(2002),824-828.

[7]. H. Hosoya, On Some counting polynomials in chemistry, Disc.  Appl. Math.19(1988)239-257

[8] E. Sampathkumar and H. B. Walikar The Karnataka University Journal -Science-Vol. XXV & XXVI (Combined) 1980

[9] Latha Devi puli, Thesis of Visveswaraya Technological University
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This article has undergone plagiarism screening and double-blind peer review. Editorial policies have been followed. Authors retain copyright under CC BY-NC 4.0 license. The research complies with ethical standards and institutional guidelines.
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