The First and Second Zagreb Indices of Generalized Complementary Prisms


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Authors

  • S. Arockiaraj Department of Mathematics, Mepco Schlenk Engineering College, Sivakasi, Tamilnadu, India
  • Vijaya Kumari Research Scholar, Department of Mathematics, Karpagam University,Coimbatore, Tamilnadu, India

Keywords:

First Zagreb Index, Second Zagreb index, Complementary Prism, Generalized Complementary Prism

Abstract

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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Published

15-06-2015

How to Cite

S. Arockiaraj, & Vijaya Kumari. (2015). The First and Second Zagreb Indices of Generalized Complementary Prisms. International Journal of Mathematics And Its Applications, 3(2), 55–63. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/420

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Section

Research Article