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NORDHAUS – GADDUM TYPE RESULTS FOR WIENER LIKE INDICES OF GRAPHS
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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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