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

Open Journal of Mathematical Sciences

Nilanjan De¹ 

[1] Department of Basic Sciences and Humanities (Mathematics), Calcutta Institute of Engineering and Management, Kolkata, India;

关键词: Topological Index;    Zagreb Index;    Reformulated Zagreb Index;    Graph Operations;    Composite graphs;    Generalized Hierarchical Product.;   

DOI  :  10.30538/oms2018.0039

来源: DOAJ

【 摘 要 】

The generalized hierarchical product of graphs was introduced by L. Barrière 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.

【 授权许可】

Unknown