Academic Journal
The reflexive edge strength on some almost regular graphs
| العنوان: | The reflexive edge strength on some almost regular graphs |
|---|---|
| المؤلفون: | Ika Hesti Agustin, Dafik, M. Imam Utoyo, Slamin, M. Venkatachalam |
| المصدر: | Heliyon, Vol 7, Iss 5, Pp e06991- (2021) |
| بيانات النشر: | Elsevier, 2021. |
| سنة النشر: | 2021 |
| المجموعة: | LCC:Science (General) LCC:Social sciences (General) |
| مصطلحات موضوعية: | Edge irregular reflexive k-labeling, Reflexive edge strength, Ladder graph, Triangular ladder, Pn×C3, Pn⊙P2, Science (General), Q1-390, Social sciences (General), H1-99 |
| الوصف: | A function f with domain and range are respectively the edge set of graph G and natural number up to ke, and a function f with domain and range are respectively the vertex set of graph G and the even natural number up to 2kv are called a total k-labeling where k=max{ke,2kv}. The total k-labeling of graph G by the condition that every two different edges have different weight is called an edge irregular reflexive k-labeling, where for any edge x1x2, the weight is wt(x1x2)=fv(x1)+fe(x1x2)+fv(x2). The reflexive edge strength of the graph G, denoted by res(G) is the minimum k for graph G which has an edge irregular reflexive k-labelling. In this study, we obtained the res(G) of graphs which their vertex degrees show an almost regularity properties. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 2405-8440 |
| Relation: | http://www.sciencedirect.com/science/article/pii/S240584402101094X; https://doaj.org/toc/2405-8440 |
| DOI: | 10.1016/j.heliyon.2021.e06991 |
| URL الوصول: | https://doaj.org/article/ef2563dcebc64723a873337f2043784a |
| رقم الانضمام: | edsdoj.f2563dcebc64723a873337f2043784a |
| قاعدة البيانات: | Directory of Open Access Journals |
Full Text Finder | تدمد: | 24058440 |
|---|---|
| DOI: | 10.1016/j.heliyon.2021.e06991 |