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Eccentric harmonic index for the subdivision of some graphs

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Subdivision is an important aspect in graph theory which allows one to cal- culate properties of some complicated graphs in terms of some easier graphs. Recently, the notion of r-subdivision was similarly defined as a quite useful gen- eralization by adding r new vertices to each edge. Topological graph indices have become popular due to their applications in chemistry or related areas due to their advantages over time and money consuming laboratory experi- ments. In this paper, we calculate one of the topological graph indices, namely the eccentric harmonic index for the subdivision, r-subdivision graphs of some graphs.

Abstract

Subdivision is an important aspect in graph theory which allows one to cal- culate properties of some complicated graphs in terms of some easier graphs. Recently, the notion of r-subdivision was similarly defined as a quite useful gen- eralization by adding r new vertices to each edge. Topological graph indices have become popular due to their applications in chemistry or related areas due to their advantages over time and money consuming laboratory experi- ments. In this paper, we calculate one of the topological graph indices, namely the eccentric harmonic index for the subdivision, r-subdivision graphs of some graphs.

참고문헌 (14)

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