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.
Vasilyev, A. (2014). Upper and Lower Bounds of Symmetric Division Deg Index. Iranian Journal of Mathematical Chemistry, 5(2), 91-98. doi: 10.22052/ijmc.2014.7357
MLA
Alexander Vasilyev. "Upper and Lower Bounds of Symmetric Division Deg Index", Iranian Journal of Mathematical Chemistry, 5, 2, 2014, 91-98. doi: 10.22052/ijmc.2014.7357
HARVARD
Vasilyev, A. (2014). 'Upper and Lower Bounds of Symmetric Division Deg Index', Iranian Journal of Mathematical Chemistry, 5(2), pp. 91-98. doi: 10.22052/ijmc.2014.7357
VANCOUVER
Vasilyev, A. Upper and Lower Bounds of Symmetric Division Deg Index. Iranian Journal of Mathematical Chemistry, 2014; 5(2): 91-98. doi: 10.22052/ijmc.2014.7357
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