On the Wiener and Harary index of splitting graphs

• المؤلف الرئيسي: Egan, Ma. Christine G.
• التنسيق: text
• اللغة: English
• منشور في: Animo Repository 2022
• الموضوعات: Indexes; Graphic methods; Mathematics
• الوصول للمادة أونلاين: https://animorepository.dlsu.edu.ph/etdm_math/4; https://animorepository.dlsu.edu.ph/cgi/viewcontent.cgi?article=1004&context=etdm_math

Let G=(V,E) be a simple undirected graph and S⊆V. The S-splitting Graph of G denoted by Γ(G,S)=Γ is obtained by replicating the vertices x in S as well as the edges adjacent to it. In this study, we investigate the Wiener and Harary indices of an S-splitting graph of a graph G for some S⊆V(G).