International Journal For Multidisciplinary Research

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On the Forgotten Eccentricity Connectivity Topological Index of Pseudo-regular Graphs

Author(s) Shiladhar Pawar
Country India
Abstract For a graph G=(V,E), the second degree of a vertex v in a graph G is the number of its second neighbors, that is the number of
vertices in G having distance 2 to v. In this manuscript we have computed the Forgotten eccentricity connectivity topological
index G is defined as, F\xi^{c}(G)= \sum_{v\in V(G)}d^{3}(v).e(v) and F\xi^{c}(G)= \sum_{v\in V(G)}d_{2}^{3}(v).e(v),
where d^{3}(v) and d_{2}^{3}(v) are the degree of the vertices u and v and e(v) is a eccentricity of the vertices u and v.
In this paper the Forgotten eccentricity connectivity topological index of
pseudo-regular graphs are determined.
Keywords Forgotten topological index, Connectivity, Eccentricity index.
Field Mathematics
Published In Volume 7, Issue 1, January-February 2025
Published On 2025-02-21
Cite This On the Forgotten Eccentricity Connectivity Topological Index of Pseudo-regular Graphs - Shiladhar Pawar - IJFMR Volume 7, Issue 1, January-February 2025. DOI 10.36948/ijfmr.2025.v07i01.36357
DOI https://doi.org/10.36948/ijfmr.2025.v07i01.36357
Short DOI https://doi.org/g85s2j

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