Unicyclic graphs with extremal exponential Randić index
Recently the exponential Randić index $ {{\rm e}^{\chi}} $ was introduced. The exponential Randić index of a graph $ G $ is defined as the sum of the weights $ {{\rm e}^{{\frac {1}{\sqrt {d \left(u \right) d \left(v \right) }}}}} $ of all edges $ uv $ of $ G $, where $ d(u) $ denotes the degree of a...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2021-06-01
|
| Series: | Mathematical Modelling and Control |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mmc.2021015?viewType=HTML |
| _version_ | 1828821197691813888 |
|---|---|
| author | Qian Lin Yan Zhu |
| author_facet | Qian Lin Yan Zhu |
| author_sort | Qian Lin |
| collection | DOAJ |
| description | Recently the exponential Randić index $ {{\rm e}^{\chi}} $ was introduced. The exponential Randić index of a graph $ G $ is defined as the sum of the weights $ {{\rm e}^{{\frac {1}{\sqrt {d \left(u \right) d \left(v \right) }}}}} $ of all edges $ uv $ of $ G $, where $ d(u) $ denotes the degree of a vertex $ u $ in $ G $. In this paper, we give sharp lower and upper bounds on the exponential Randić index of unicyclic graphs. |
| first_indexed | 2024-12-12T12:49:43Z |
| format | Article |
| id | doaj.art-b41963d26a4e487899dfe8150291509b |
| institution | Directory Open Access Journal |
| issn | 2767-8946 |
| language | English |
| last_indexed | 2024-12-12T12:49:43Z |
| publishDate | 2021-06-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Modelling and Control |
| spelling | doaj.art-b41963d26a4e487899dfe8150291509b2022-12-22T00:24:02ZengAIMS PressMathematical Modelling and Control2767-89462021-06-011316417110.3934/mmc.2021015Unicyclic graphs with extremal exponential Randić indexQian Lin0Yan Zhu 1School of Mathematics, East China University of Science and Technology, Shanghai, ChinaSchool of Mathematics, East China University of Science and Technology, Shanghai, ChinaRecently the exponential Randić index $ {{\rm e}^{\chi}} $ was introduced. The exponential Randić index of a graph $ G $ is defined as the sum of the weights $ {{\rm e}^{{\frac {1}{\sqrt {d \left(u \right) d \left(v \right) }}}}} $ of all edges $ uv $ of $ G $, where $ d(u) $ denotes the degree of a vertex $ u $ in $ G $. In this paper, we give sharp lower and upper bounds on the exponential Randić index of unicyclic graphs.https://www.aimspress.com/article/doi/10.3934/mmc.2021015?viewType=HTMLexponential randić indexunicyclic graphextremal value |
| spellingShingle | Qian Lin Yan Zhu Unicyclic graphs with extremal exponential Randić index Mathematical Modelling and Control exponential randić index unicyclic graph extremal value |
| title | Unicyclic graphs with extremal exponential Randić index |
| title_full | Unicyclic graphs with extremal exponential Randić index |
| title_fullStr | Unicyclic graphs with extremal exponential Randić index |
| title_full_unstemmed | Unicyclic graphs with extremal exponential Randić index |
| title_short | Unicyclic graphs with extremal exponential Randić index |
| title_sort | unicyclic graphs with extremal exponential randic index |
| topic | exponential randić index unicyclic graph extremal value |
| url | https://www.aimspress.com/article/doi/10.3934/mmc.2021015?viewType=HTML |
| work_keys_str_mv | AT qianlin unicyclicgraphswithextremalexponentialrandicindex AT yanzhu unicyclicgraphswithextremalexponentialrandicindex |