The Second and Third Geometric-Arithmetic Indices of Unicyclic Graphs

Authors : Ping LİU, Bolian LİU

Pages : 555-562

View : 19 | Download : 12

Publication Date : 2011-04-01

Article Type : Research Paper

Abstract :Recently, G. Fath-Tabar, B. Furtula and I. Gutman insert ignore into journalissuearticles values(A new geometricarithmetic index, J. Math. Chem. 47, 477–486, 2010); proposed the second geometric-arithmetic index GA2 and B. Zhou, I. Gutman, B. Furtula and Z. Du insert ignore into journalissuearticles values(On two types of geometric-arithmetic index, Chem. Phys. Lett. 482, 153–155, 2009); put forward the third geometricarithmetic index GA3, respectively. In insert ignore into journalissuearticles values(Gutman, I. and Furtula, B. Estimating the second and third geometric-arithmetic indices, Hacet. J. Math. Stat. 40 insert ignore into journalissuearticles values(1);, 69–76, 2011);, inequalities between GA2 and GA3 for trees, with the number of vertices and the number of pendent vertices, were obtained by I. Gutman and B. Furtula. In this paper, we obtain inequalities between the two indices for unicyclic graphs.
Keywords : Distance between vertex and edge, Geometric arithmetic index, Unicyclic graph, 2000 AMS Classification 05 C 12