Wiener index of generalized odd complete graphs

Km. Kathiresan and C. Parameswaran
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Km. Kathiresan: Ayya Nadar Janaki Ammal College
C. Parameswaran: Ayya Nadar Janaki Ammal College

Indian Journal of Pure and Applied Mathematics, 2022, vol. 53, issue 2, 301-303

Abstract: Abstract The Wiener index W(G) of a graph G is the sum of distances between all pairs of vertices of a connected graph. Motivated by the definition of an odd graph, in this paper we define generalized odd complete graphs and we obtain an explicit expression for the Wiener index of the generalized odd complete graphs and hence we derive the Wiener index of complete graphs with odd number of vertices.

Keywords: Generalized odd complete graphs; Wiener index; odd graphs; 05C12 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s13226-021-00210-9

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