پديدآورندگان :
Dehgardi Nasrin n.dehgardi@sirjantech.ac.ir Department of Mathematics and Computer Science, Sirjan University of Technology, Sirjan, Iran , Falahati-Nezhad Farzaneh farzanehfalahati_n@yahoo.com Department of Mathematics, Safadasht Branch, Islamic Azad University, Tehran, Iran , Azari Mahdieh mahdie.azari@gmail.com Department of Mathematics, Kazerun Branch, Islamic Azad University, P. O. Box: 73135-168, Kazerun, Iran
كليدواژه :
Graph invariant , tree , maximum degree , lower bound
چكيده فارسي :
The Sombor index is a novel vertex-degree-based graph invariant introduced by Ivan Gutman in 2021. Recently, a variant of the Sombor index namely the irregularity Sombor index was put forward as a measure of irregularity in graphs. Our purpose is to establish a sharp lower bound on the irregularity Sombor index of trees based on the maximum degree and to characterize the extremal trees reach the lower bound.