eng Ansari Education and Research Society Journal of Ultra Scientist of Physical Sciences April, 2017 29 4 164 168 http://dx.doi.org/10.22147/jusps-A/290405 790 article P. GAYATHRI ( pgayathrisundar@gmail.com) 1 U. PRIYANKA 1 S. SANDHIYA 2 S. SUNANDHA 3 K.R. SUBRAMANIAN 4 Department of Mathematics, A.V.C. College (Autonomous), Mannampandal (India) Department of Mathematics, VELS University, Chennai (India) Department of Mathematics, Vivekananda Arts and Science College for Women, Sirkali (India) Department of Computer Applications,Shrimati Indira Gandhi College, Trichy (India) <p style="text-align:justify">Using the vertex degrees of the graphs, M- polynomials of several types of graphs consisting of concatenated pentagonal rings are obtained and studied in this paper. The vertex degree based indices like Randic, Geometric &ndash; Arithmetic, Sum Connectivity, Harmonic, First Zagreb, Second Zagreb, Second Modified Zagreb, Inverse Sum, Alberston, Atom &ndash; bond Connectivity, Symmetric &ndash; Division index and Augmented Zagreb indices etc., of penta-chains can be calculated easily by using the proposed M-Polynomials of the penta-chains for single, alternating and double-row pentachains of two types.</p> https://www.ultrascientist.org/paper/790/ M-Polynomial Topological indices Molecular graph Penta-chain