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Showing 1 to 2 of 2 for “"graph saturation"”.
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Extremal problems in disjoint cycles and graph saturation
… conditions for the existence of particular subgraphs in a graph, and variations on graph saturation. Determining whether a graph contains a certain subgraph is a computationally difficult problem; as such, sufficient conditions for the existence of a given subgraph are prized. In Chapter 2, we …
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Degree Ramsey theory, game and Roman domination, and game saturation in graphs
"We examine several problems in extremal graph theory, emphasizing problems involving games on graphs. In Chapter 2, we study a variant of Ramsey theory, seeking Ramsey hosts with small maximum degree. We focus on finding such hosts for trees and cycles. In Chapter 3 we consider the ""on-line"" …