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Amalgamations of connected k<-factorizations.

Hilton, A. J. W. and Johnson, M. and Rodger, C. A. and Wantland, E. B. (2003) 'Amalgamations of connected k<-factorizations.', Journal of combinatorial theory, series B., 88 (2). pp. 267-279.


In this paper, necessary and sufficient conditions are found for a graph with exactly one amalgamated vertex to be the amalgamation of a <i>k</i>-factorization of <i>K<sub>kn+1</sub></i> in which each <i>k</i>-factor is connected. From this result, necessary and sufficient conditions for a given edge-coloured <i>K<sub>t</sub></i> to be embedded in a connected <i>k</i>-factorization of <i>K<sub>kn+1</sub></i> are deduced.

Item Type:Article
Keywords:Graphs, Factorizations.
Full text:Full text not available from this repository.
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Record Created:26 Mar 2008
Last Modified:01 Apr 2010 22:42

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