THE NORDHAUS-GADDUM-TYPE INEQUALITIES FOR THE NIRMALA INDICES

被引：0
|
作者：
Kumar, Virendra [1 ]
Das, Shibsankar [1 ]
机构：
[1] Banaras Hindu Univ, Inst Sci, Dept Math, Varanasi 221005, Uttar Pradesh, India
来源：
TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS | 2025年 / 15卷 / 01期
关键词：
Degree-based topological indices; Nirmala index; First inverse Nirmala index; Second inverse Nirmala index; Nordhaus-Gaddum-type inequalities;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Nowadays, deducing the bounds and relations between known topological indices is an interesting tool in Chemical Graph Theory (CGT). This article investigates the mathematical properties of the recently defined Nirmala indices in terms of some graph invariants. At the outset, we establish some mathematical relations between the Nirmala indices (Nirmala index, first and second inverse Nirmala indices) and other well-established degree-based topological indices. Then, some Nordhaus-Gaddum-type inequalities for the combination of the Nirmala indices of a graph and its complement are obtained.
引用
收藏
页码：120 / 136
页数：17
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