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Classification of 3-GNDB graphs | ||
Journal of Algebra and Related Topics | ||
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 13 بهمن 1403 | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22124/jart.2025.25226.1569 | ||
نویسندگان | ||
Z. Aliannejadi* 1؛ S. A. Hosseini2؛ M. Alaeiyan3 | ||
1Islamic Azad University, South Tehran Branch, Tehran, Iran | ||
2Department of mathematics, Karaj Branch, Islamic Azad university, Karaj, Iran. | ||
3Iran University of Science and Technology | ||
چکیده | ||
A nonempty graph Γ is called generalized 3-distance-balanced, (3-GDB) whenever for every edge ab, |Wab| = 3|Wba| or conversely. As well as a graph Γ is called generalized 3-nicely distance-balanced (3-GNDB) whenever for every edge ab of Γ, there exists a positive integer γΓ, such that:|Wba| γΓ. In this paper, we classify 3-GNDB graphs with, γΓ ∈ {1; 2} | ||
کلیدواژهها | ||
graphs؛ generalize 3-distance-balanced graphs؛ bipartite graphs | ||
آمار تعداد مشاهده مقاله: 37 |