Title of article :
Another Approach to a Conjecture about the Exponential Reduced Sombor Index of Molecular Trees
Author/Authors :
GHALAVAND, ALI Department of Applied Mathematics - Faculty of Mathematical Sciences Ferdowsi University of Mashhad , Mashhad , Iran , TAVAKOLI, MOSTAFA Department of Applied Mathematics - Faculty of Mathematical Sciences Ferdowsi University of Mashhad , Mashhad , Iran
Abstract :
For a graph , the exponential reduced Sombor index
(ERSI), denoted by
, is
∑
√
, where is the degree of
vertex . The authors in [On the reduced Sombor index and its
applications, MATCH Commun. Math. Comput. Chem. 86 (2021)
729–753] conjectured that for each molecular tree of order
,
√ where
,
√
√
where and
√
√ where . Recently, Hamza and Ali [On a
conjecture regarding the exponential reduced Sombor index of
chemical trees. Discrete Math. Lett. 9 (2022) 107–110] proved the
modified version of this conjecture. In this paper, we adopt
another method to prove it.
Keywords :
Sombor index , Exponential reduced Sombor index , Degree , Tree
Journal title :
Iranian Journal of Mathematical Chemistry
