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Proyecciones (Antofagasta)

Print version ISSN 0716-0917

Abstract

JEYANTHI, P; ANGEL BENSEERA, N  and  CAHIT, Ibrahim. Totally magic cordial labeling of mPn and mKn. Proyecciones (Antofagasta) [online]. 2016, vol.35, n.4, pp.371-380. ISSN 0716-0917.  http://dx.doi.org/10.4067/S0716-09172016000400001.

A graph G is said to have a totally magic cordial labeling with constant C if there exists a mapping f : V(G) U E(G) → {0,1} such that f (a) + f (b) + f (ab) ≡ C (mod 2) for all ab ∈ E(G) and |nf (0) - nf (1)| ≤ 1, where nf(i) (i = 0, 1) is the sum ofthe number ofvertices and edges with label i. In this paper we establish that mPand mKn are totally magic cordial for various values of m and n.

Keywords : Binary magic total labeling; cordial labeling; totally magic cordial labeling; totally magic cordial deficiency of a graph.

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