دورية أكاديمية
On ABC energy and its application to anticancer drugs
| العنوان: | On ABC energy and its application to anticancer drugs |
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| المؤلفون: | Alaa Altassan, Muhammad Imran, Bilal Ahmad Rather |
| المصدر: | AIMS Mathematics, Vol 8, Iss 9, Pp 21668-21682 (2023) |
| بيانات النشر: | AIMS Press, 2023. |
| سنة النشر: | 2023 |
| المجموعة: | LCC:Mathematics |
| مصطلحات موضوعية: | adjacency matrix, abc matrix, atom-bond connectivity, equienergetic graphs, correlation, Mathematics, QA1-939 |
| الوصف: | For a simple connected graph $ \Gamma $ with node set $ V(\Gamma) = \{w_{1}, w_{2}, \dots, w_{n}\} $ and degree sequence $ d_{i} $, the atom-bond connectivity ($ ABC $) matrix of $ \Gamma $ has an $ (ij) $-th entry $ \sqrt{\frac{d_{i}+d_{j}-2}{d_{i}d_{j}}} $ if $ w_{i} $ is adjacent to $ w_{j} $ and $ 0 $, otherwise. The multiset of all eigenvalues of $ ABC $ matrix is known as the $ ABC $ spectrum and their absolute sum is known as the $ ABC $ energy of $ \Gamma. $ Two graphs of same order are known as $ ABC $ equienergetic if they have the same $ ABC $ energy but share different $ ABC $ spectrum. We describe the $ ABC $ spectrum of some special graph operations and as an application, we construct the $ ABC $ equienergetic graphs. Further, we give linear regression analysis of $ ABC $ index/energy with the physical properties of anticancer drugs. We observe that they are better correlated with $ ABC $-energy. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 20231105 2473-6988 |
| Relation: | https://doaj.org/toc/2473-6988 |
| DOI: | 10.3934/math.20231105?viewType=HTML |
| DOI: | 10.3934/math.20231105 |
| URL الوصول: | https://doaj.org/article/f9ff532651e3457eaa695cceca7417e6 |
| رقم الأكسشن: | edsdoj.f9ff532651e3457eaa695cceca7417e6 |
| قاعدة البيانات: | Directory of Open Access Journals |
Full Text Finder | تدمد: | 20231105 24736988 |
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| DOI: | 10.3934/math.20231105?viewType=HTML |