NORDHAUS – GADDUM TYPE RESULTS FOR WIENER LIKE INDICES OF GRAPHS

R. BHUVANESHWARI,  V. KALADEVI

doi:10.17762/pae.v58i2.3042

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Published: Feb 24, 2021

Updated: 2021-02-24

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2021-02-24 (3)

2021-02-24 (2)

2021-02-10 (1)

DOI: https://doi.org/10.17762/pae.v58i2.3042

R. BHUVANESHWARI, V. KALADEVI

Abstract

A Nordhaus - Gaddum type result is a lower or upper bound on sum or product of a parameter of a graph and its complement. This concept was introduced in 1956 by Nordhaus E. A., Gaddum J. W. Generalized Wiener like indices such as wiener index, Detour index, Reciprocal- wiener index, Harary- wiener index, Hyper- wiener index, Reciprocal- Detour index, Harary- Detour index and Hyper- Detour index have been studied in graph theory. In this paper, Nordhaus – Gaddum type results of these indices for k-Sun graph and four regular graph are presented.

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Vol. 58 No. 2 (2021): Volume 58 No. 2 (2021)

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