边色图及其积的独立性、支配性和非冗余性参数

A. Włoch, I. Włoch
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引用次数: 0

摘要

本文研究了一些边色图及其乘积的支配性、独立性和非冗余性参数。给出了色边图中独立集、支配集和无冗余集的几个一般性质,并给出了色边图的独立集、支配集和无冗余集之间的关系。我们推广了图的独立性、支配性和非冗余性的一些经典结果。此外,我们还研究了边色图的g -连接,它保留了考虑的参数相对于乘积因子中的相关参数。
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On parameters of independence, domination and irredundance in edge-coloured graphs and their products
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, dominat- ing and irredundance sets in edge-coloured graphs and we give relation- ships between the independence, domination and irredundant numbers of an edge-coloured graph. We generalize some classical results concern- ing independence, domination and irredundance in graphs. Moreover we study G-join of edge-coloured graphs which preserves considered parame- ters with respect to related parameters in product factors.
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