دورية أكاديمية

A Note on Edge Irregularity Strength of Some Graphs

التفاصيل البيبلوغرافية
العنوان: A Note on Edge Irregularity Strength of Some Graphs
المؤلفون: I Nengah Suparta, I Gusti Putu Suharta
المصدر: Indonesian Journal of Combinatorics, Vol 4, Iss 1, Pp 10-20 (2020)
بيانات النشر: InaCombS; Universitas Jember; dan Universitas Indonesia, 2020.
سنة النشر: 2020
المجموعة: LCC:Mathematics
مصطلحات موضوعية: k-labeling, irregular edge k-labeling, irregularity strength for graph, Mathematics, QA1-939
الوصف: Let G(V, E) be a finite simple graph and k be some positive integer. A vertex k-labeling of graph G(V,E), Φ : V → {1,2,..., k}, is called edge irregular k-labeling if the edge weights of any two different edges in G are distinct, where the edge weight of e = xy ∈ E(G), wΦ(e), is defined as wΦ(e) = Φ(x) + Φ(y). The edge irregularity strength for graph G is the minimum value of k such that Φ is irregular edge k-labeling for G. In this note we derive the edge irregularity strength of chain graphs mK3−path for m ≢ 3 (mod4) and C[Cn(m)] for all positive integers n ≡ 0 (mod 4) 3n and m. We also propose bounds for the edge irregularity strength of join graph Pm + Ǩn for all integers m, n ≥ 3.
نوع الوثيقة: article
وصف الملف: electronic resource
اللغة: English
تدمد: 2541-2205
Relation: http://www.ijc.or.id/index.php/ijc/article/view/104; https://doaj.org/toc/2541-2205
DOI: 10.19184/ijc.2020.4.1.2
URL الوصول: https://doaj.org/article/b02fdda8a68b4b2fb22db945a9262136
رقم الأكسشن: edsdoj.b02fdda8a68b4b2fb22db945a9262136
قاعدة البيانات: Directory of Open Access Journals
الوصف
تدمد:25412205
DOI:10.19184/ijc.2020.4.1.2