The Euler Sombor index of a graph.
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| Title: | The Euler Sombor index of a graph. |
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| Authors: | Tang, Zikai1 (AUTHOR), Li, Yunping1 (AUTHOR), Deng, Hanyuan1 (AUTHOR) hydeng@hunnu.edu.cn |
| Source: | International Journal of Quantum Chemistry. 5/5/2024, Vol. 124 Issue 9, p1-9. 9p. |
| Subjects: | Molecular structure, Ellipses (Geometry) |
| Abstract: | A novel geometric method is proposed for constructing vertex‐degree‐based molecular structure descriptors, which is the perimeter of an ellipse whose focal points represent the degree‐point and its dual‐point of a pair of adjacent vertices in a graph G=(V,E)$$ G=\left(V,E\right) $$. We first analyze the chemical applicability of this elliptic Sombor index, and then establish its mathematical properties and determine the extremal values for this elliptic Sombor index among all (molecular) trees and characterize the corresponding extremal graphs. [ABSTRACT FROM AUTHOR] |
| Copyright of International Journal of Quantum Chemistry is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Abstract: | A novel geometric method is proposed for constructing vertex‐degree‐based molecular structure descriptors, which is the perimeter of an ellipse whose focal points represent the degree‐point and its dual‐point of a pair of adjacent vertices in a graph G=(V,E)$$ G=\left(V,E\right) $$. We first analyze the chemical applicability of this elliptic Sombor index, and then establish its mathematical properties and determine the extremal values for this elliptic Sombor index among all (molecular) trees and characterize the corresponding extremal graphs. [ABSTRACT FROM AUTHOR] |
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| ISSN: | 00207608 |
| DOI: | 10.1002/qua.27387 |
