On the variable sum exdeg index of tree structures

Alimohammad Beiranvand, Ramin Kazemi, ‎Akram Kohansal, Farshin‎ ‎ Hormozinejad, ‎Mohammad Reza Ghalani


‎Through a recurrence equation‎, ‎we determine the expectation and the variance of the variable sum exdeg index in random tree structures‎. ‎Also‎, ‎we show some convergence‎ ‎in probability based on this index‎. ‎As the main result and through the martingale central limit theorem‎, ‎the asymptotic normality of this index‎

‎is given‎.


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