Computing Reformulated First Zagreb Index of Some Chemical Graphs as an Application of Generalized Hierarchical Product of Graphs

The generalized hierarchical product of graphs was introduced by L. Barri\'ere et al in 2009. In this paper, reformulated first Zagreb index of generalized hierarchical product of two connected graphs and hence as a special case cluster product of graphs are obtained. Finally using the derived results the reformulated first Zagreb index of some chemically important graphs such as square comb lattice, hexagonal chain, molecular graph of truncated cube, dimer fullerene, zig-zag polyhex nanotube and dicentric dendrimers are computed.Comment: 12 page

A Historical Investigation into the Growth and Development of Education in Tripura (1862-1971)

Tripura is a small hilly state of northeastern region of India Before it was amalgamated with India it was a princely state The rulers of Tripura wanted to modernize their state and hence they feel the necessity of modern education In the year 1862 first time the step towards modern education was taken by establishing a school From that time onwards the journey of modern education was started and before Tripura became a full-fledged state on 1972 the growth and development of education in Tripura reached towards a satisfactory level This writing is a historical investigation into the growth and development of education from the inception of modern education in Tripura from 1962 to 197