The product-connectivity (also called Randi & cacute; connectivity) index, sum-connectivity index and harmonic index are among the best-known and most successful vertex-degreebased topological indices in mathematical chemistry. The multiplicative versions of these graph invariants were proposed by Kulli in 2016. In this paper, we give the maximum values of the multiplicative product-connectivity, multiplicative sum-connectivity and multiplicative harmonic indices within the set of trees with a given order and maximum vertex degree and specify the maximal trees.
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Savannah State Univ, Dept Math, Savannah, GA 31404 USA
Adelphi Univ, Dept Math & Comp Sci, Garden City, NY 11550 USASavannah State Univ, Dept Math, Savannah, GA 31404 USA
Wang, Shaohui
Wang, Chunxiang
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Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R ChinaSavannah State Univ, Dept Math, Savannah, GA 31404 USA
Wang, Chunxiang
Chen, Lin
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Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R ChinaSavannah State Univ, Dept Math, Savannah, GA 31404 USA
Chen, Lin
Liu, Jia-Bao
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AnhuiJianzhu Univ, Sch Math & Phys, Hefei 230601, Peoples R ChinaSavannah State Univ, Dept Math, Savannah, GA 31404 USA