Wiener index of Lehmer three mean graphs

https://doi.org/10.53730/ijhs.v6nS3.5867

Authors

  • M. J. Abisha Department of Mathematics, St Jude’s College, Thoothoor-629176, Tamil Nadu, India | Manonmaniam Sundaranar University, Abishekapatti, Tirunelveli-627012, Tamil Nadu, India
  • K. Rubin Mary Assistant professor, Department of Mathematics, St Jude’s College, Thoothoor-629176, Tamil Nadu, India | Manonmaniam Sundaranar University,Abishekapatti, Tirunelveli-627012, Tamil Nadu, India

Keywords:

Wiener index, Lehmer three, mean graphs

Abstract

The Wiener index of W(G) is G equal to the sum of distances between all pairs of vertices of G.The Wiener index W, denoted w (wiener 1947) and also known as the path number or wiener number, is a graph index defined  by W(G) = ∑_({x,y}∈V(G))▒〖d_G (x,y)〗. . In this paper we investigate wiener index for caterpillar, twig and arrow graph.

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References

Y.E.A. Ban, S. Berg and N.H. Mustafa. ”A Conjecture on Wiener Index in Combinatorial chemistry’’ Algorithm 40(2): 99-118, 2004.

D. Bonchev and D.J. Klein,’’ On the Wiener number of thron trees, stars, rings and rods, croatica chemical ’’Acta 75:613-620, 2002.

A.Dobriyan and I Gutman,’’ on a graph invariant related to sum of all distances in a graph’’ publ. Inst. Math. (Beograd) 56: 18-22 1994

S. Somasundaram, S.S. Sandhya and T.S. Pavithra,” Lehmer-3 mean Labeling of graphs” “International Journal of Mathematical Forum,12(17)(2017),819-825.

M.J.Abisha and K.Rubin Mary, “K-Lehmer three mean labeling of some graphs”, Malaya Journal of Mathematik, Vol 8,No.3,1219-1221,2020.

Published

11-04-2022

How to Cite

Abisha, M. J., & Mary, K. R. (2022). Wiener index of Lehmer three mean graphs. International Journal of Health Sciences, 6(S3), 1609–1612. https://doi.org/10.53730/ijhs.v6nS3.5867

Issue

Section

Peer Review Articles