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1 Journal of Mathematics and Applications

1 2012

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On parameters of independence, domination and irredundance in edge-coloured graphs and their products

Włoch A., Włoch I.

Journal of Mathematics and Applications

2012

Vol. 35

97--106

In this paper we study some parameters of domination, independence and irredundance in some edge-coloured graphs and their products. We present several general properties of independent, dominating and irredundance sets in edge-coloured graphs and we give relationships between the independence, domination and irredundant numbers of an edge-coloured graph. We generalize some classical results concerning independence, domination and irredundance in graphs. Moreover we study G-join of edge-coloured graphs which preserves considered parameters with respect to related parameters in product factors.