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New bounds on atom-bond sum-connectivity index in graphs | ||
| Communications in Combinatorics and Optimization | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 25 آذر 1404 اصل مقاله (460.06 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2025.31021.2714 | ||
| نویسندگان | ||
| Elaheh Mirzaeikhaki1؛ Hadi Rahbani* 2؛ Nader Jafari Rad* 1؛ Hossein Abdollahzadeh Ahangar2 | ||
| 1Department of Mathematics, Shahed University, Tehran, Iran | ||
| 2Department of Mathematics, Babol Noshirvani University of Technology Shariati Ave., Babol, I.R. Iran, Postal Code: 47148-71167 | ||
| چکیده | ||
| The atom-bond sum-connectivity index ($\operatorname{ABS}$) has recently been introduced as a variation of the classical atom-bond connectivity index, in which the product of vertex degrees in the denominator of each term is replaced by their sum. In this paper, we first establish a connection between the $\operatorname{ABS}$ index and the spectral radius of a graph. We then examine the relationships between the $\operatorname{ABS}$ index and several well-known degree-based topological indices. Furthermore, we improve several previous bounds presented in the literature. | ||
| کلیدواژهها | ||
| Topological indices؛ Randi\' c index؛ Inverse sum indeg index؛ Sombor index؛ Spectral radius | ||
| مراجع | ||
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