Back to Search
Start Over
Extremal trees for the modified first Zagreb connection index with fixed number of segments or vertices of degree 2.
- Source :
- Journal of Taibah University for Science; Jan-Dec2020, Vol. 14 Issue 1, p31-37, 7p
- Publication Year :
- 2020
-
Abstract
- The modified first Zagreb connection index Z C 1 ∗ is a graph invariant, initially appeared within a formula of the total electron energy of alternant hydrocarbons in 1972, and revisted in a recent paper [A. Ali, N. Trinajstić. A novel/old modification of the first Zagreb index. Mol Inform. 2018;37(6). Art# 1800008; arXiv:1705.10430 [math.CO]]. In this paper, the graph(s) with the maximum/minimum Z C 1 ∗ value is/are characterized from the class of all n-vertex trees with fixed number of segments. As the number of segments in a tree can be determined from the number of vertices of degree 2 (and vice versa), the trees with the extremum Z C 1 ∗ values are also determined from the class of all n-vertex trees having a fixed number of vertices of degree 2. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 16583655
- Volume :
- 14
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Journal of Taibah University for Science
- Publication Type :
- Academic Journal
- Accession number :
- 147677195
- Full Text :
- https://doi.org/10.1080/16583655.2019.1699227