On the Wiener and Harary Index of Splitting Graphs

On the Wiener and Harary Index of Splitting Graphs

In this study we define a graph operation on a finite simple graph G = (V, E) called the S-splitting graph of G where S is a non-empty subset of vertices of G. If S = V , then it is the splitting graph of G defined by E. Sampathkumar, and H.B. Walikar in the 1980’s. This paper investigates the Wiene...

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Veröffentlicht in:European journal of pure and applied mathematics 2022-04, Vol.15 (2), p.602-619
Hauptverfasser: Campena ̃, Francis Joseph H., G. Egan, Ma. Christine, Antalan, John Rafael M.
Format: Artikel
Sprache:eng
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Zusammenfassung:In this study we define a graph operation on a finite simple graph G = (V, E) called the S-splitting graph of G where S is a non-empty subset of vertices of G. If S = V , then it is the splitting graph of G defined by E. Sampathkumar, and H.B. Walikar in the 1980’s. This paper investigates the Wiener and Harary indices of the S-splitting graph of G for some families of graph.
ISSN:1307-5543
1307-5543
DOI:10.29020/nybg.ejpam.v15i2.4316