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Bounding the first Zagreb index of a unicyclic graph in term of its repetition number | ||
| Transactions on Combinatorics | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 03 آبان 1405 | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22108/toc.2026.146502.2321 | ||
| نویسندگان | ||
| Maoqun Wang* ؛ Ruhua Liu | ||
| School of Mathematics and Information Sciences, Yantai University, Yantai, P.R. China | ||
| چکیده | ||
| The first Zagreb index M_{1} is equal to the sum of the squares of the degrees of the vertices. The repetition number of a graph is the maximum multiplicity in the list of its vertex degrees. In this paper, we lower and upper bound the first Zagreb index of a unicyclic graph by expressions depending solely on their repetition number and give degree sequence for these graphs with the largest and smallest first Zagreb indices, respectively. | ||
| کلیدواژه‌ها | ||
| first Zagreb index؛ repetition number؛ unicyclic graph؛ degree sequence | ||
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آمار تعداد مشاهده مقاله: 10 |
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