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Some new bounds on the modified first Zagreb index | ||
| Communications in Combinatorics and Optimization | ||
| مقاله 2، دوره 8، شماره 1، خرداد 2023، صفحه 13-21 اصل مقاله (354.66 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2021.27159.1205 | ||
| نویسندگان | ||
| Igor Milovanović1؛ Emina Milovanović2؛ Marjan Matejić2؛ Akbar Ali* 3 | ||
| 1Faculty of Electronic Engineering, University of Nis, Nis, Serbia | ||
| 2Faculty of Electronic Engineering | ||
| 3University of Hail, Saudi Arabia | ||
| چکیده | ||
| Let $G$ be a graph containing no isolated vertices. For the graph $G$, its modified first Zagreb index is defined as the sum of reciprocals of squares of vertex degrees of $G$. This article provides some new bounds on the modified first Zagreb index of $G$ in terms of some other well-known graph invariants of $G$. From the obtained bounds, several known results follow directly. | ||
| کلیدواژهها | ||
| degree-based topological index؛ modified first Zagreb index؛ inverse degree | ||
| مراجع | ||
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