| Journal: | Proyecciones (Antofagasta) |
| Database: | PERIÓDICA |
| System number: | 000406100 |
| ISSN: | 0716-0917 |
| Authors: | Jeyanthi, P1 Maheswari, A2 Vijayalakshmi, M3 |
| Institutions: | 1Govindammal Aditanar College for Women, Department of Mathematics, Thoothukudi, Tamil Nadu. India 2Kamaraj College of Engineering and Technology, Department of Mathematics, Virudhunagar, Tamil Nadu. India 3Dr. G.U. Pope College of Engineering, Department of Mathematics, Thoothukudi, Tamil Nadu. India |
| Year: | 2016 |
| Season: | Jun |
| Volumen: | 35 |
| Number: | 2 |
| Pages: | 177-186 |
| Country: | Chile |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Analítico |
| English abstract | Let G be a graph with p vertices and q edges and A = {0, 1, 2,..., d q 2 e}. A vertex labeling f : V (G) → A induces an edge labeling f ∗ de- fined by f ∗(uv) = f(u) +f(v) for all edges uv. For a ∈ A, let vf (a) be the number of vertices v with f(v) = a. A graph G is said to be vertex equitable if there exists a vertex labeling f such that for all a and b in A, |vf (a) − vf (b)| ≤ 1 and the induced edge labels are 1, 2, 3,..., q. In this paper, we prove that key graph KY (m, n), P(2.QSn), P(m.QSn), C(n.QSm), NQ(m) and K1,n × P2 are vertex equitable graphs |
| Disciplines: | Matemáticas |
| Keyword: | Matemáticas puras, Combinatoria, Teoría de gráficas, Etiquetado |
| Keyword: | Mathematics, Pure mathematics, Combinatorics, Graph theory, Labelling |
| Full text: | Texto completo (Ver PDF) |
