دورية أكاديمية

Analysing Edge-Equitable Antimagic connection number of certain Graph families.

التفاصيل البيبلوغرافية
العنوان: Analysing Edge-Equitable Antimagic connection number of certain Graph families.
المؤلفون: K., Abirami, N., Mohanapriya, Dafik
المصدر: International Journal of Open Problems in Computer Science & Mathematics; Mar2024, Vol. 17 Issue 1, p1-14, 14p
مصطلحات موضوعية: GRAPH labelings, GRAPH coloring, FAMILIES
مستخلص: The edge-equitable antimagic coloring has undergone comprehensive investigation across multiple graph structures, revealing that its outcomes align optimally with its equitable chromatic index. A graph, labeled using antimagic labeling, and satisfying the conditions: (i) no two adjacent edges incident on a vertex share the same edge weight, and (ii) for any distinct values i and j, the absolute difference between the cardinalities of the color classes associated with the edge weights is limited to no more than 1, is said to possess an edge-equitable antimagic coloring. This paper analyses the above coloring in specific graph families, that includes the triangular ladder graph (T Lp), open triangular ladder graph (OT Lp), comb graph (P + p ), and double comb graph (P ++ p ). [ABSTRACT FROM AUTHOR]
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قاعدة البيانات: Complementary Index