Zk-Magic Labeling of Path Union of Graphs
ABSTRACT For any non-trivial Abelian group A under addition a graph G is said to be A-magic if there exists a labeling f : E(G) → A− {0} such that, the vertex labeling f + defined as f + (v) = ∑ f (uv) taken over all edges uv incident at v is a constant. An A-magic gr...
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| Autores principales: | , , |
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| Lenguaje: | English |
| Publicado: |
Universidad de La Frontera. Departamento de Matemática y Estadística.
2019
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| Materias: | |
| Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462019000200015 |
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| Sumario: | ABSTRACT For any non-trivial Abelian group A under addition a graph G is said to be A-magic if there exists a labeling f : E(G) → A− {0} such that, the vertex labeling f + defined as f + (v) = ∑ f (uv) taken over all edges uv incident at v is a constant. An A-magic graph G is said to be Z k -magic graph if the group A is Z k , the group of integers modulo k and these graphs are referred as k-magic graphs. In this paper we prove that the graphs such as path union of cycle, generalized Petersen graph, shell, wheel, closed helm, double wheel, flower, cylinder, total graph of a path, lotus inside a circle and n-pan graph are Z k -magic graphs. |
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