TY - JOUR
ID - 7357
TI - Upper and Lower Bounds of Symmetric Division Deg Index
JO - Iranian Journal of Mathematical Chemistry
JA - IJMC
LA - en
SN - 2228-6489
AU - Vasilyev, Alexander
AD - University of Primorska, IAM
Y1 - 2014
PY - 2014
VL - 5
IS - 2
SP - 91
EP - 98
KW - Symmetric division deg index
KW - Adriatic index
DO - 10.22052/ijmc.2014.7357
N2 - Symmetric Division Deg index is one of the 148 discrete Adriatic indices that showed good predictive properties on the testing sets provided by International Academy of Mathematical Chemistry. Symmetric Division Deg index is defined by $$ SDD(G) = sumE left( frac{min{d_u,d_v}}{max{d_u,d_v}} + frac{max{d_u,d_v}}{min{d_u,d_v}} right), $$ where $d_i$ is the degree of vertex $i$ in graph $G$. In this paper we provide lower and upper bounds of SDD index in some classes of graphs and determine the corresponding extremal graphs.
UR - https://ijmc.kashanu.ac.ir/article_7357.html
L1 - https://ijmc.kashanu.ac.ir/article_7357_78bfab656717a8a35de2906a6ca46a99.pdf
ER -