Some lower and upper bounds on the third ABC index
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 th...
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2016-04-01
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| Series: | AKCE International Journal of Graphs and Combinatorics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0972860016000050 |
| Summary: | 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. |
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| ISSN: | 0972-8600 |