Publication details for Professor Matthew JohnsonHilton, A. J. W., Johnson, Matthew., Rodger, C. A. & Wantland, E. B. (2003). Amalgamations of connected k-factorizations. Journal of Combinatorial Theory Series B 88(2): 267-279.
- Publication type: Journal Article
- ISSN/ISBN: 0095-8956
- DOI: 10.1016/S0095-8956(03)00030-3
- Keywords: graphs, factorizations
- Further publication details on publisher web site
- Durham Research Online (DRO) - may include full text
Author(s) from Durham
AbstractIn this paper, necessary and sufficient conditions are found for a graph with exactly one amalgamated vertex to be the amalgamation of a k-factorization of Kkn+1 in which each k-factor is connected. From this result, necessary and sufficient conditions for a given edge-coloured Kt to be embedded in a connected k-factorization of Kkn+1 are deduced.
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