A study of a variant of neighborhood version of degree-based indices for trees
Abstract
Recently, Mondal et al. introduced several new indices based on neighborhood degree sum of vertices, which received increasing research attention. In this paper, we consider a variant of these indices named sixth neighborhood degree index. We give the minimum value of the sixth neighborhood degree index within the set of trees with ν vertices and maximum degree Δ and the corresponding minimal trees are introduced.
Fields of Study & Subjects
Graph theory and applications
Graph Labeling and Dimension Problems
Graph Theory and Algorithms
Publication details
- Journal / source
- Journal of Discrete Mathematical Sciences and Cryptography
- Volume
- 29
- Issue
- 1
- Pages
- 35–47
- Publication date
- 1 January 2026