Recentlyi I.i Gutmani [4]i puti forwardi ai noveli topologicali indexi namelyi thei Sombori index.i Motivatedi byi thisi noveli index,i wei studyi thei newi variantsi ofi Sombori indexi andi toi examinei thei correlationi ofi newlyi introducedi topologicali indicesi wei havei computedi thei valuesi ofi thesei indicesi byi takingi alli possiblei treesi oni 10i vertices.i Further,i wei computei boundsi fori certaini nanostructuresi viz.i hexagonali parallelogrami P(m,n)-nanotube,i triangulari benzenoidi G_n,i zigzag-edgei coronoidi fusedi withi starphenei nanotubesi ZCS(k,l,m),i dominatingi derivedi networksi D_1,D_2,D_3,i Porphyrini Dendrimer,i Zinc-Porphyrini Dendrimer,i Propyli Etheri Iminei Dendrimer,i Poly(Ethylenei amidoi aminei Dendrimer,i PAMAMi dendrimers(PD_1,PD_2,DS_1),i lineari polyominoi chaini L_n,Z_n,B_n^1 (n≥3) B_n^2 (n≥4)i andi triangular,i hourglass,i andi jagged-rectanglei benzenoidi systemsi ini termsi ofi Sombori indexi andi dominationi number