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• W2285156954 abstract "In this dissertation, first the technique of vertex amalgamations is used to extend known results on graph decompositions, and in particular on decompositions of the complete multipartite graph K(n, p) with p parts, each of which has n vertices. The decompositions focus on hamilton cycles and 1-factors that satisfy certain fairness notions, as well as frame versions of these results where each color class (as defined by the decompositions) spans all vertices except for those in one part. Second, some edge-coloring results are proved, extending theorems in the literature on edge-colorings with different fairness properties. Finally, a related new topic is introduced, focusing on equalizing the number of vertices in each color class of an edge-coloring." @default.
• W2285156954 created "2016-06-24" @default.
• W2285156954 creator A5057942907 @default.
• W2285156954 date "2015-05-12" @default.
• W2285156954 modified "2023-09-26" @default.
• W2285156954 title "Fair Factorizations of the Complete Multipartite Graphs and Related Edge-colorings" @default.
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• W2285156954 hasPublicationYear "2015" @default.
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