TY  - JOUR
T1  - The Second and Third Geometric-Arithmetic Indices of Unicyclic Graphs
TT  - The Second and Third Geometric-Arithmetic Indices of Unicyclic Graphs
AU  - Liu, Ping
AU  - Liu, Bolian
PY  - 2011
DA  - April
JF  - Hacettepe Journal of Mathematics and Statistics
PB  - Hacettepe University
WT  - DergiPark
SN  - 2651-477X
SP  - 555
EP  - 562
VL  - 40
IS  - 4
LA  - en
AB  - Recently, G. Fath-Tabar, B. Furtula and I. Gutman (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 (On two types of geometric-arithmetic index, Chem. Phys. Lett. 482, 153–155, 2009) put forward the third geometricarithmetic index GA3, respectively. In (Gutman, I. and Furtula, B. Estimating the second and third geometric-arithmetic indices, Hacet. J. Math. Stat. 40 (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.
KW  - Distance between vertex and edge
KW  - Geometric-arithmetic index
KW  - Unicyclic graph
KW  - 2000 AMS Classification: 05 C 12
CR  - Fath-Tabar, G., Furtula, B. and Gutman, I. A new geometric-arithmetic index, J. Math. Chem. 47, 477–486, 2010.
CR  - Furtula, B. and Gutman, I. Geometric-arithmetic indices, in: I. Gutman, B. Furtula (Eds.), Novel Molecular Structure-Descriptors - Theory and Applications I, Univ. Kragujevac, Kragu- jevac, 137–172, 2010.
CR  - Gutman, I. and Furtula, B. Estimating the second and third geometric-arithmetic indices, Hacet. J. Math. Stat. 40 (1), 69–76, 2011.
CR  - Vukiˇcevi´c, D. and Furtula, B. Topological index based on the ratios of geometrical and arith- metical means of end-vertex degrees of edges, J. Math. Chem. 46, 1369–1376, 2009.
CR  - Zhou, B., Gutman, I., Furtula, B. and Du, Z. On two types of geometric-arithmetic index, Chem. Phys. Lett. 482, 153–155, 2009.
UR  - https://dergipark.org.tr/en/pub/hujms/issue//101423
L1  - https://dergipark.org.tr/en/download/article-file/86555
ER  -