Extended results on sum divisor cordial labeling
Abstract A sum divisor cordial labeling of a graph G with vertex set V (G) is a bijection f : V (G) → {1, 2, ..., |V (G)|} such that an edge uv assigned the label 1 if 2 divides f(u)+f(v) and 0 otherwise. Further the number of edges labeled with 0 and the the number of edges labeled with 1...
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| Autores principales: | , |
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| Lenguaje: | English |
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Universidad Católica del Norte, Departamento de Matemáticas
2019
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| Materias: | |
| Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000400653 |
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| Sumario: | Abstract A sum divisor cordial labeling of a graph G with vertex set V (G) is a bijection f : V (G) → {1, 2, ..., |V (G)|} such that an edge uv assigned the label 1 if 2 divides f(u)+f(v) and 0 otherwise. Further the number of edges labeled with 0 and the the number of edges labeled with 1 differ by atmost 1. A graph with sum divisor cordial labeling is called a sum divisor cordial graph. In this paper we prove that the graphs P n + P n (n is odd), P n @K 1,m , Cn@K 1,m (n is odd), W n * K 1,m (n is even), < K₁¹ ,n,n ∆K₁²2 ,n,n >, < Fl n ¹∆Fl n ² > are sum divisor cordial graphs. |
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