Bibliographic Details
| Title: |
Some lower and upper bounds on the third ABC index |
| Authors: |
Dae-Won Lee |
| Source: |
AKCE International Journal of Graphs and Combinatorics, Vol 13, Iss 1, Pp 11-15 (2016) |
| Publisher Information: |
Taylor & Francis Group, 2016. |
| Publication Year: |
2016 |
| Collection: |
LCC:Mathematics |
| Subject Terms: |
Molecular graph, Atom-bond connectivity (ABC) index, The third Atom-bond connectivity (ABC3) index, Topological indices, Mathematics, QA1-939 |
| More Details: |
Atom-bond connectivity (ABC) index has been applied up to now to study the stability of alkanes and the strain energy of cycloalkanes. Graovac defined the second ABC index as ABC2(G)=∑vivj∈E(G)1ni+1nj−2ninj, and Kinkar studied the upper bounds. In this paper, we define a new index which is called the third ABC index and it is defined as (1) ABC3(G)=∑vivj∈E(G)1ei+1ej−2eiej, and we present some lower and upper bounds on ABC3 index of graphs. |
| Document Type: |
article |
| File Description: |
electronic resource |
| Language: |
English |
| ISSN: |
0972-8600 |
| Relation: |
http://www.sciencedirect.com/science/article/pii/S0972860016000050; https://doaj.org/toc/0972-8600 |
| DOI: |
10.1016/j.akcej.2016.02.002 |
| Access URL: |
https://doaj.org/article/5fd209ec39ef4cc88e8907697e7e91ab |
| Accession Number: |
edsdoj.5fd209ec39ef4cc88e8907697e7e91ab |
| Database: |
Directory of Open Access Journals |
