The Hyper-Zagreb Index of Four Operations on Graphs

QSPR Analysis of Certain Degree and Eccentricity Based Topological Indices and Butane Derivatives

“…We have used here seven degree-based and one eccentricity based topological indices. They are: Redefined third Zagreb index(ReZG3(G)) 10, Reformulated second Zagreb index(EM2(G)) [11][12][13][14][15][16][17][18] , modified Reformulated second Zagreb index ( m EM2(G)) 16 , first, second and third Zagreb coindices ( 1(G), 2(G), 3(G)) 11,[19][20][21][22][23][24][25][26][27][28][29] , second Zagreb eccentricity index(E2(G)) [30][31][32][33][34][35][36] and Hyper Zagreb index(HM(G)) 12,20,27,[37][38][39][40][41][42][43][44][45][46][47][48] for modeling five representative physiochemical properties such as Heavy atomic count, Complexity, Density, Surface tension, Index of refraction of the fourteen Butane derivatives. As the molecular graphs of isomorphic graphs are the same, we considered here only nonisomorphic Butane derivatives.…”

“…30,31,35 Similar to all other topological indices, many properties and bounds on the Hyper Zagreb index are also computed 27,32,48 but researchers found to have more interest in investigating the chemical constitution of compounds with Hyper Zagreb index. 37,38,[40][41][42][43]46,56,57 It is found that no studies are conducted on the correlation between the physiochemical properties of compounds with the molecular descriptors for all the three indices.…”

Computing First Zagreb index and F-index of New C-products of Graphs

“…Eliasi et al in [9] generalized the concept of Cartesian products of graphs, and introduced four new sums of graphs called F-sums of graphs and studied the Wiener index of resulting graphs. Recently there has been some interest on computing topological indices of F-sums of graphs [1,5,8,26,28].…”

Three Topological Indices of Two New Variants of Graph Products

“…Jamil and Tomescu [18] found the exact formulas of the first reformulated Zagreb index for Cartesian product, composition, join, corona product, splice, link, and chain of graphs. Some graph operations and their topological indices are presented in [13,[15][16][17][18][19][20][21][22][23][24][25][26][27][28]. Now, we define variants of these graphs' product.…”