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math.CO2022
Molecular trees with extremal values of the second Sombor index
Zikai Tang, Hanyuan Deng
A new geometric background of graph invariants was introduced by Gutman, of which the simplest is the second Sombor index , defined as $SO_2=SO_2(G)=\sum_{uv\in E}\frac{|d^2_…
math.GM2022
Maximum zeroth-order general Randić index of orientations of cacti
Jiaxiang Yang, Hanyuan Deng, Zikai Tang +1
The zeroth-order general Randić index of an -vertices oriented graph is equal to the sum of over all arcs of …