Edge irregularity strength of certain families of comb graph
Abstract: Edge irregular mapping or vertex mapping h : V (U ) −→ {1, 2, 3, 4, ..., s} is a mapping of vertices in such a way that all edges have distinct weights. We evaluate weight of any edge by using equation wt h (cd) = h(c)+h(d), ∀c, d ∈ V (U ) and &...
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| Autores principales: | , , , |
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| Lenguaje: | English |
| Publicado: |
Universidad Católica del Norte, Departamento de Matemáticas
2020
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| Materias: | |
| Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000400787 |
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| Sumario: | Abstract: Edge irregular mapping or vertex mapping h : V (U ) −→ {1, 2, 3, 4, ..., s} is a mapping of vertices in such a way that all edges have distinct weights. We evaluate weight of any edge by using equation wt h (cd) = h(c)+h(d), ∀c, d ∈ V (U ) and ∀cd ∈ E(U ). Edge irregularity strength denoted by es(U ) is a minimum positive integer use to label vertices to form edge irregular labeling. In this paper, we find exact value of edge irregularity strength of different families of comb graph. |
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