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On the general ABC-spectral radius and ABC-energy of a graph | ||
| Journal of Discrete Mathematics and Its Applications | ||
| دوره 11، شماره 3، آذر 2026، صفحه 221-233 اصل مقاله (353.3 K) | ||
| نوع مقاله: Full Length Article | ||
| شناسه دیجیتال (DOI): 10.22061/jdma.2026.12740.1182 | ||
| نویسندگان | ||
| Kianoosh Hayati1؛ Farzad Shaveisi* 2 | ||
| 1Department of Mathematics, Faculty of Science, Razi University, Kermanshah, Iran | ||
| 2Department of Mathematics, Faculty of Science Kermanshah, 6714967346, Iran | ||
| تاریخ دریافت: 21 آذر 1404، تاریخ بازنگری: 19 خرداد 1405، تاریخ پذیرش: 23 مرداد 1405 | ||
| چکیده | ||
| Let G be a simple graph with vertex set {v1, v2,…, vn} where di denotes the degree of vi. For every real number α, the generalized ABC-matrix of G, denoted by Ωα=[ωαij] is an n×n matrix such that ωαij=((di + dj - 2)/didj)α if vivj is an edge and ωαij=0, otherwise. In this paper, some bounds for the spectral radius of Ωα are found. Among other results, some bounds for the generalized ABC-energy are determined in terms of generalized ABC-index and general Randić index. | ||
| کلیدواژهها | ||
| general ABC-index؛ ABC-energy؛ spectral radius | ||
| مراجع | ||
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آمار تعداد مشاهده مقاله: 39 تعداد دریافت فایل اصل مقاله: 33 |
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