On the Wiener and Harary Indices of Generalized Splitting and Shadow-Splitting Graphs

Purva J. Makadiya; Mahesh M. Jariya; Prashant J. Makadiya

On the Wiener and Harary Indices of Generalized Splitting and Shadow-Splitting Graphs

Combinatorics 2026-07-15 v1

Authors: Purva J. Makadiya , Mahesh M. Jariya , Prashant J. Makadiya

Abstract

In this paper, we determine the Wiener index and the Harary index for the $(p,q)$ -generalized splitting graph $S_{p,q}(G)$ and the $(c,k)$ -shadow-splitting graph $H_{c,k}(G)$ for a connected graph $G$ .

Keywords

wiener index harary index generalized splitting graph shadow-splitting graph graph invariant

Cite

@article{arxiv.2607.13488,
  title  = {On the Wiener and Harary Indices of Generalized Splitting and Shadow-Splitting Graphs},
  author = {Purva J. Makadiya and Mahesh M. Jariya and Prashant J. Makadiya},
  journal= {arXiv preprint arXiv:2607.13488},
  year   = {2026}
}