The First and Second Zagreb Indices of Generalized Complementary Prisms
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Keywords:
First Zagreb Index, Second Zagreb index, Complementary Prism, Generalized Complementary PrismAbstract
The first and second zagreb indices of a graph $G$ are defined as $M_1(G)=\sum\limits_{uv\in E(G)} [deg(u)+deg(v)]$ (or equivalently $\sum\limits_{u\in V(G)}[deg(u)^2]$ and $M_2(G)=\sum\limits_{uv\in E(G)}[deg (u)deg(v)]$ respectively. In this paper, we have obtained the first and second zagreb indices of the generalized complementary prisms $G_{m+n}, \mathcal{G}_{m,n}, \mathcal{G}_{m,m}^c$ and $G_{m,m}^P$.
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