Sum divisor cordial labeling for star and ladder related graphs
A sum divisor cordial labeling of a graph G with vertex set V is a bijection f from V to {1, 2, . . . , |V(G)|} such that an edge uv is assigned the label 1 if 2 divides f (u) + f (v) and 0 otherwise; and the number of edges labeled with 0 and the number of edges labeled with 1 differ by at most 1....
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| Autores principales: | , |
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| Lenguaje: | English |
| Publicado: |
Universidad Católica del Norte, Departamento de Matemáticas
2016
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| Materias: | |
| Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172016000400006 |
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| Sumario: | A sum divisor cordial labeling of a graph G with vertex set V is a bijection f from V to {1, 2, . . . , |V(G)|} such that an edge uv is assigned the label 1 if 2 divides f (u) + f (v) and 0 otherwise; and the number of edges labeled with 0 and the number of edges labeled with 1 differ by at most 1. A graph with a sum divisor cordial labeling is called a sum divisor cordial graph. In this paper, we prove that D2(K1,n), S' (K1,n), D2(Bn,n), DS(Bn,n), S' (Bn,n), S(Bn,n), < K(1)1,nΔK(2)1,n>, S(Ln), Ln O K1, SLn, TLn, TLn O Ki and CHn are sum divisor cordial graphs. |
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