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math.CO2018
Some useful lemmas on the edge Szeged index
Shengjie He
The edge Szeged index of a graph is defined as , where (resp., ) is the number of edges who…
math.CO2018
On extremal cacti with respect to the edge revised Szeged index
Shengjie He, Rong-Xia Hao, Deming Li
Let be a connected graph. The edge revised Szeged index of is defined as $Sz^{\ast}_{e}(G)=\sum\limits_{e=uv\in E(G)}(m_{u}(e|G)+\frac{m_{0}(e|G)}{2})(m_{v}(e|G)+\frac{m_{0…