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On 3-total edge product cordial connected graphs

Ivanco J.

Opuscula Mathematica

2017

Vol. 37, no. 5

725--734

A k-total edge product cordial labeling is a variant of the well-known cordial labeling. In this paper we characterize connected graphs of order at least 15 admitting a 3-total edge product cordial labeling.

M2-edge colorings of dense graphs

Ivanco J.

Opuscula Mathematica

2016

Vol. 36, no. 5

603–-612

An edge coloring φ of a graph G is called an Mi-edge coloring if [formula] every vertex v of G, where φ (v) is the set of colors of edges incident with v. Let K1(G) denote the maximum number of colors used in an Mi-edge coloring of G. In this paper we establish some bounds of K.2(G), present some graphs achieving the bounds and determine exact values of K.2(G) for dense graphs.