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Amalgamations of factorizations of complete graphs.

Johnson, M. (2007) 'Amalgamations of factorizations of complete graphs.', Journal of combinatorial theory, series B., 97 (4). pp. 597-611.


Let t be a positive integer, and let K=(k1,…,kt) and L=(l1,…,lt) be collections of nonnegative integers. A (t,K,L)-factorization of a graph is a decomposition of the graph into factors F1,…,Ft such that Fi is ki-regular and li-edge-connected. In this paper, we apply the technique of amalgamations of graphs to study (t,K,L)-factorizations of complete graphs. In particular, we describe precisely when it is possible to embed a factorization of Km in a (t,K,L)-factorization of Kn.

Item Type:Article
Keywords:Graphs, Factorizations, Algorithms.
Full text:(AM) Accepted Manuscript
Available under License - Creative Commons Attribution Non-commercial No Derivatives.
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Publisher statement:© 2006 This manuscript version is made available under the CC-BY-NC-ND 4.0 license
Date accepted:No date available
Date deposited:11 December 2015
Date of first online publication:July 2007
Date first made open access:No date available

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