HD 2 41.11| 4.10 0$ 11:15 26 June 2022 11:06 PM M. (G,x) = xdutdy UV E E (C ) Mz (G, x) = > xdud. UV E E (C ) The modified form of 1st and 2nd Zagreb indices were introduced in [2] by Milicevic, Nikolic and Trinajstic as mM1 (G, x ) = _ duz U Ev(C) mM2(G) = 1 dudy uv E E(G) The multiplicative version of 1st and 2ndZagrab indices were introduced in [3] by Gutman, as follows I(@) = [ (du)2 U EV ( G) 2[1(G) = II (dudo) UV E E (G) The augmented Zagreb index [4] and The hyper Zagreb index [5] were introduced in 2010 and 2013, respectively as follows AZI(G) = > (dud. ) uve (c) HM(G) = > (du + dy)2 UVE (G) Research Proposal: In this thesis, we shall investigate the chemaical graph [8] and find the different types Zagreb indices which includes but not limited to First and Second Zagreb Index, Augmented Zagreb Index, Modified Zareb, Hyper Zagreb Index, Generalized and (a,b) Zagrib Index. Some grpahical analysis would also be discuees. Reference: 1. S.SANTHA, Discrete Mathematics with Combinatorics and Graph Theory, 1st edition, CENGAGE INDIA, 2009 2. Gutman I. Trinajstic N. Graph theory and molecular orbitals, Total pi-electron energy of alternant hydrocarbons. Chem. Phys. Lett. 1972, 17, 535-538. w Lo m . . . Share Favourite Edit Delete More O