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Proyecciones (Antofagasta)

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Abstract

JEYANTHI, P.; MAHESWARI, A.  and  VIJAYALAKSHMI, M.. Further results on 3-product cordial labeling. Proyecciones (Antofagasta) [online]. 2019, vol.38, n.2, pp.191-202. ISSN 0716-0917.  http://dx.doi.org/10.4067/S0716-09172019000200191.

A mapping f : V (G) → {0, 1, 2} is called 3-product cordial labeling if |vf(i) − vf(j)| ≤ 1 and |ef(i) − ef(j)| ≤ 1 for any i, j ∈ {0, 1, 2}, where vf(i) denotes the number of vertices labeled with i, ef(i) denotes the number of edges xy with f(x)f(y) ≡ i(mod 3). A graph with 3-product cordial labeing is called 3-product cordial graph. In this paper we establish that switching of an apex vertex in closed helm, double fan, book graph K1,n × K2 and permutation graph P (K2 + mK1, I) are 3-product cordial graphs.

Keywords : Cordial labeling; Product cordial labeling; 3-product cordial labeling; 3-product cordial graph..

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