Title of article :
On the Second Order First Zagreb Index
Author/Authors :
BASAVANAGOUD, B Department of Mathematics - Karnatak University - Dharwad − 580 003 - Karnataka - India , PATIL, S Department of Mathematics - Karnatak University - Dharwad − 580 003 - Karnataka - India , DENG, H Key Laboratoryof High Performance Computing and Stochastic Information Processing - College of Mathematics and Computer Science - Hunan Normal University - Changsha - Hunan - 410081 - P. R. China
Abstract :
Inspired by the chemical applications of higher-order connectivity index
(or Randic′ index), we consider here the higher-order first Zagreb index
of a molecular graph. In this paper, we study the linear regression
analysis of the second order first Zagreb index with the entropy and
acentric factor of an octane isomers. The linear model, based on the
second order first Zagreb index, is better than models corresponding to
the first Zagreb index and F-index. Further, we compute the second
order first Zagreb index of line graphs of subdivision graphs of 2Dlattice,
nanotube and nanotorus ofTUC 4 C 8( p q), tadpole graphs, wheel
graphs and ladder graphs.
Keywords :
Topological index , Line graph , Nanostructure , Subdivision graph , Tadpole graph
Journal title :
Astroparticle Physics
