Sum divisor cordial labeling for star and ladder related graphs

• Lourdusamy, A. ^[1] ; Patrick, F. ^[1]
  1. [1] St Xavier’s College

     St Xavier’s College

     India

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 35, Nº. 4, 2016, págs. 437-455
• Idioma: inglés
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• Resumen

  • 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.