Journal of Mathematics and Applications
9/35, DOI: 10.7862/rf.2012.9
On parameters of independence, domination and irredundance in edge-coloured graphs and their products
Andrzej Włoch, Iwona Włoch
DOI: 10.7862/rf.2012.9
Abstract
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 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.
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About this Article
TITLE:
On parameters of independence, domination and irredundance in edge-coloured graphs and their products
AUTHORS:
Andrzej Włoch (1)
Iwona Włoch (2)
AUTHORS AFFILIATIONS:
(1) Faculty of Mathematics and Applied Physics, Rzeszow University of Technology,
Al. Powstancow Warszawy 12, 35-359 Rzeszow, Poland
(2) Faculty of Mathematics and Applied Physics, Rzeszow University of Technology,
Al. Powstancow Warszawy 12, 35-359 Rzeszow, Poland
JOURNAL:
Journal of Mathematics and Applications
9/35
KEY WORDS AND PHRASES:
edge-coloured graph, monochromatic paths, independence, domination, irredundance
FULL TEXT:
http://doi.prz.edu.pl/pl/pdf/jma/9
DOI:
10.7862/rf.2012.9
URL:
http://dx.doi.org/10.7862/rf.2012.9
RECEIVED:
2011-11-17
COPYRIGHT:
Publishing House of Rzeszow University of Technology Powstańców Warszawy 12, 35-959 Rzeszow