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y-Wiener index of some graph operations

Saihua Liu, Jianping Ou, Youchuang Lin

Abstract


Eliasi and Taeri [Extension of the Wiener index and Wiener polynomial, Appl. Math. Lett. 21 (2008), 916-921] introduced the concept of y-Wiener index of graphs as a generalization of the classical Wiener index and hyper Wiener index of graphs. This paper presents explicit expressions of y-Wiener index of graphs constructed by some operations such as Mycielski’s construction, generalized hierarchical product and F-sum of graphs.

Keywords


Mycielski’s construction, F-sum, generalized hierarchical product, y-Wiener index.

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